NonlinearSystemBlackOilReservoir_impl.hpp

Go to the documentation of this file.

/*
  Copyright 2013, 2015 SINTEF ICT, Applied Mathematics.
  Copyright 2014, 2015 Dr. Blatt - HPC-Simulation-Software & Services
  Copyright 2014, 2015 Statoil ASA.
  Copyright 2015 NTNU
  Copyright 2015, 2016, 2017 IRIS AS
 
  This file is part of the Open Porous Media project (OPM).
 
  OPM is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 3 of the License, or
  (at your option) any later version.
 
  OPM is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.
 
  You should have received a copy of the GNU General Public License
  along with OPM.  If not, see <http://www.gnu.org/licenses/>.
*/
 
#ifndef OPM_NONLINEAR_SYSTEM_BLACK_OIL_RESERVOIR_IMPL_HEADER_INCLUDED
#define OPM_NONLINEAR_SYSTEM_BLACK_OIL_RESERVOIR_IMPL_HEADER_INCLUDED
 
#ifndef OPM_NONLINEAR_SYSTEM_BLACK_OIL_RESERVOIR_HEADER_INCLUDED
#include <config.h>
#include <opm/simulators/flow/NonlinearSystemBlackOilReservoir.hpp>
#endif
 
#include <dune/common/timer.hh>
 
#include <opm/common/ErrorMacros.hpp>
#include <opm/common/OpmLog/OpmLog.hpp>
 
#include <opm/simulators/flow/countGlobalCells.hpp>
 
#include <algorithm>
#include <cmath>
#include <filesystem>
#include <functional>
#include <iomanip>
#include <limits>
#include <memory>
#include <numeric>
#include <sstream>
#include <stdexcept>
#include <string>
#include <string_view>
#include <tuple>
#include <utility>
#include <vector>
 
#include <fmt/format.h>
 
namespace {
    template <typename TypeTag>
    std::string_view
    make_string(const typename Opm::NonlinearSystemBlackOilReservoir<TypeTag>::DebugFlags f)
    {
        using F = typename Opm::NonlinearSystemBlackOilReservoir<TypeTag>::DebugFlags;
 
        switch (f) {
        case F::STRICT:   return "Strict";
        case F::RELAXED:  return "Relaxed";
        case F::TUNINGDP: return "TuningDP";
        }
 
        return "< ??? >";
    }
} // Anonymous namespace
 
namespace Opm {
 
template <class TypeTag>
NonlinearSystemBlackOilReservoir<TypeTag>::
NonlinearSystemBlackOilReservoir(Simulator& simulator,
              const ModelParameters& param,
              typename ParentType::WellModel& well_model,
              const bool terminal_output)
    : ParentType(simulator, param, well_model, terminal_output)
    , conv_monitor_(param.monitor_params_)
{
    // compute global sum of number of cells
    global_nc_ = detail::countGlobalCells(this->grid_);
    this->convergence_reports_.reserve(300); // Often insufficient, but avoids frequent moves.
    // TODO: remember to fix!
    if (this->param_.nonlinear_solver_ == "nldd") {
        if (terminal_output) {
            OpmLog::info("Using Non-Linear Domain Decomposition solver (nldd).");
        }
        nlddSolver_ = std::make_unique<NonlinearSystemNldd<TypeTag>>(*this);
    } else if (this->param_.nonlinear_solver_ == "newton") {
        if (terminal_output) {
            OpmLog::info("Using Newton nonlinear solver.");
        }
    } else {
        OPM_THROW(std::runtime_error, "Unknown nonlinear solver option: " +
                                      this->param_.nonlinear_solver_);
    }
}
 
template <class TypeTag>
SimulatorReportSingle
NonlinearSystemBlackOilReservoir<TypeTag>::
prepareStep(const SimulatorTimerInterface& timer)
{
    OPM_TIMEFUNCTION();
    auto report = ParentType::prepareStep(timer);
 
    Dune::Timer perfTimer;
    perfTimer.start();
 
    unsigned numDof = this->simulator_.model().numGridDof();
    wasSwitched_.resize(numDof);
    std::fill(wasSwitched_.begin(), wasSwitched_.end(), false);
    if (this->enable_state_rollback_) {
        this->simulator_.model().newtonMethod().resetPrimaryVariableSwitches();
    }
 
    if (this->param_.update_equations_scaling_) {
        OpmLog::error("Equation scaling not supported");
        //updateEquationsScaling();
    }
 
    if (hasNlddSolver()) {
        nlddSolver_->prepareStep();
    }
 
    report.pre_post_time += perfTimer.stop();
 
    auto getIdx = [](unsigned phaseIdx) -> int
    {
        if (FluidSystem::phaseIsActive(phaseIdx)) {
            const unsigned sIdx = FluidSystem::solventComponentIndex(phaseIdx);
            return FluidSystem::canonicalToActiveCompIdx(sIdx);
        }
 
        return -1;
    };
    const auto& schedule = this->simulator_.vanguard().schedule();
    auto& rst_conv = this->simulator_.problem().eclWriter().mutableOutputModule().getConv();
    rst_conv.init(this->simulator_.vanguard().globalNumCells(),
                  schedule[timer.reportStepNum()].rst_config(),
                  {getIdx(FluidSystem::oilPhaseIdx),
                   getIdx(FluidSystem::gasPhaseIdx),
                   getIdx(FluidSystem::waterPhaseIdx),
                   contiPolymerEqIdx,
                   contiBrineEqIdx,
                   contiSolventEqIdx});
 
    return report;
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
initialLinearization(SimulatorReportSingle& report,
                     const int minIter,
                     const int maxIter,
                     const SimulatorTimerInterface& timer)
{
    ParentType::initialLinearization(report,
                                     minIter,
                                     maxIter,
                                     timer);                                 
 
    // -----------   Check if converged   -----------
    std::vector<Scalar> residual_norms;
    Dune::Timer perfTimer;
    perfTimer.reset();
    perfTimer.start();
    // the step is not considered converged until at least minIter iterations is done
    {
        auto convrep = getConvergence(timer, maxIter, residual_norms);
        report.converged = convrep.converged() &&
                           this->simulator_.problem().iterationContext().iteration() >= minIter;
        if (report.converged &&
            convrep.cnvRelaxSource() != ConvergenceReport::CnvRelaxSource::None)
        {
            ++report.relaxed_cnv_acceptances;
        }
        ConvergenceReport::Severity severity = convrep.severityOfWorstFailure();
        this->convergence_reports_.back().report.push_back(std::move(convrep));
 
        // Throw if any NaN or too large residual found.
        if (severity == ConvergenceReport::Severity::NotANumber) {
            this->failureReport_ += report;
            OPM_THROW_PROBLEM(NumericalProblem, "NaN residual found!");
        } else if (severity == ConvergenceReport::Severity::TooLarge) {
            this->failureReport_ += report;
            OPM_THROW_NOLOG(NumericalProblem, "Too large residual found!");
        } else if (severity == ConvergenceReport::Severity::ConvergenceMonitorFailure) {
            this->failureReport_ += report;
            OPM_THROW_PROBLEM(ConvergenceMonitorFailure,
                              fmt::format(
                                  "Total penalty count exceeded cut-off-limit of {}",
                                  this->param_.monitor_params_.cutoff_
                              ));
        }
    }
    report.update_time += perfTimer.stop();
    this->residual_norms_history_.push_back(residual_norms);
}
 
template <class TypeTag>
template <class NonlinearSolverType>
SimulatorReportSingle
NonlinearSystemBlackOilReservoir<TypeTag>::
nonlinearIteration(const SimulatorTimerInterface& timer,
                   NonlinearSolverType& nonlinear_solver)
{
    // Model-level timestep initialization (once per timestep).
    // markTimestepInitialized() is called later in initialLinearization(),
    // after assembleReservoir() has triggered the well model's prepareTimeStep().
    if (this->simulator_.problem().iterationContext().needsTimestepInit()) {
        this->residual_norms_history_.clear();
        this->conv_monitor_.reset();
        this->current_relaxation_ = 1.0;
        this->dx_old_ = 0.0;
        this->convergence_reports_.push_back({timer.reportStepNum(), timer.currentStepNum(), {}});
        this->convergence_reports_.back().report.reserve(11);
    }
 
    SimulatorReportSingle result;
    if (this->param_.nonlinear_solver_ != "nldd") {
        result = this->nonlinearIterationNewton(timer, nonlinear_solver);
    }
    else {
        result = this->nlddSolver_->nonlinearIterationNldd(timer, nonlinear_solver);
    }
 
    auto& rst_conv = this->simulator_.problem().eclWriter().mutableOutputModule().getConv();
    rst_conv.update(this->simulator_.model().linearizer().residual());
 
    this->simulator_.problem().advanceIteration();
    return result;
}
 
template <class TypeTag>
template <class NonlinearSolverType>
SimulatorReportSingle
NonlinearSystemBlackOilReservoir<TypeTag>::
nonlinearIterationNewton(const SimulatorTimerInterface& timer,
                         NonlinearSolverType& nonlinear_solver)
{
    OPM_TIMEFUNCTION();
 
    SimulatorReportSingle report;
    Dune::Timer perfTimer;
 
    this->initialLinearization(report,
                               this->param_.newton_min_iter_,
                               this->param_.newton_max_iter_,
                               timer);
 
    if (!report.converged) {
        perfTimer.reset();
        perfTimer.start();
        report.total_newton_iterations = 1;
 
        const unsigned nc = this->simulator_.model().numGridDof();
        BVector x(nc);
 
        linear_solve_setup_time_ = 0.0;
        try {
            this->wellModel().linearize(this->simulator().model().linearizer().jacobian(),
                                        this->simulator().model().linearizer().residual());
 
            solveJacobianSystem(x);
 
            report.linear_solve_setup_time += linear_solve_setup_time_;
            report.linear_solve_time += perfTimer.stop();
            report.total_linear_iterations += linearIterationsLastSolve();
        }
        catch (...) {
            report.linear_solve_setup_time += linear_solve_setup_time_;
            report.linear_solve_time += perfTimer.stop();
            report.total_linear_iterations += linearIterationsLastSolve();
 
            this->failureReport_ += report;
            throw;
        }
 
        perfTimer.reset();
        perfTimer.start();
 
        this->wellModel().postSolve(x);
 
        if (this->param_.use_update_stabilization_) {
            bool isOscillate = false;
            bool isStagnate = false;
            nonlinear_solver.detectOscillations(this->residual_norms_history_,
                                                this->residual_norms_history_.size() - 1,
                                                isOscillate,
                                                isStagnate);
            if (isOscillate) {
                this->current_relaxation_ -= nonlinear_solver.relaxIncrement();
                this->current_relaxation_ = std::max(this->current_relaxation_, nonlinear_solver.relaxMax());
                // The detector reads reservoir residual history and the response damps the
                // reservoir update, but the oscillation may originate in the well/group
                // control layer.  Record what was unsatisfied here so the two can be told
                // apart.
                auto source = ConvergenceReport::OscillationSource::NotDetected;
                if (!this->convergence_reports_.empty() &&
                    !this->convergence_reports_.back().report.empty())
                {
                    auto& convrep = this->convergence_reports_.back().report.back();
                    source = classifyOscillationSource(convrep);
                    convrep.setOscillationSource(source);
                }
                if (this->terminalOutputEnabled()) {
                    OpmLog::info("    Oscillating behavior detected (" + to_string(source)
                                 + "): Relaxation set to "
                                 + std::to_string(this->current_relaxation_));
                }
            }
            nonlinear_solver.stabilizeNonlinearUpdate(x, this->dx_old_, this->current_relaxation_);
        }
 
        this->updateSolution(x);
        report.update_time += perfTimer.stop();
    }
 
    return report;
}
 
template <class TypeTag>
typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar
NonlinearSystemBlackOilReservoir<TypeTag>::
relativeChange() const
{
    Scalar resultDelta = 0.0;
    Scalar resultDenom = 0.0;
 
    const auto& elemMapper = this->simulator_.model().elementMapper();
    const auto& gridView = this->simulator_.gridView();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        unsigned globalElemIdx = elemMapper.index(elem);
        const auto& priVarsNew = this->simulator_.model().solution(/*timeIdx=*/0)[globalElemIdx];
 
        Scalar pressureNew;
        pressureNew = priVarsNew[Indices::pressureSwitchIdx];
 
        Scalar saturationsNew[FluidSystem::numPhases] = { 0.0 };
        Scalar oilSaturationNew = 1.0;
        if (FluidSystem::phaseIsActive(FluidSystem::waterPhaseIdx) &&
            FluidSystem::numActivePhases() > 1 &&
            priVarsNew.primaryVarsMeaningWater() == PrimaryVariables::WaterMeaning::Sw)
        {
            saturationsNew[FluidSystem::waterPhaseIdx] = priVarsNew[Indices::waterSwitchIdx];
            oilSaturationNew -= saturationsNew[FluidSystem::waterPhaseIdx];
        }
 
        if (FluidSystem::phaseIsActive(FluidSystem::gasPhaseIdx) &&
            FluidSystem::phaseIsActive(FluidSystem::oilPhaseIdx) &&
            priVarsNew.primaryVarsMeaningGas() == PrimaryVariables::GasMeaning::Sg)
        {
            assert(Indices::compositionSwitchIdx != std::numeric_limits<unsigned>::max());
            saturationsNew[FluidSystem::gasPhaseIdx] = priVarsNew[Indices::compositionSwitchIdx];
            oilSaturationNew -= saturationsNew[FluidSystem::gasPhaseIdx];
        }
 
        if (FluidSystem::phaseIsActive(FluidSystem::oilPhaseIdx)) {
            saturationsNew[FluidSystem::oilPhaseIdx] = oilSaturationNew;
        }
 
        const auto& priVarsOld = this->simulator_.model().solution(/*timeIdx=*/1)[globalElemIdx];
 
        Scalar pressureOld;
        pressureOld = priVarsOld[Indices::pressureSwitchIdx];
 
        Scalar saturationsOld[FluidSystem::numPhases] = { 0.0 };
        Scalar oilSaturationOld = 1.0;
 
        // NB fix me! adding pressures changes to saturation changes does not make sense
        Scalar tmp = pressureNew - pressureOld;
        resultDelta += tmp*tmp;
        resultDenom += pressureNew*pressureNew;
 
        if (FluidSystem::numActivePhases() > 1) {
            if (priVarsOld.primaryVarsMeaningWater() == PrimaryVariables::WaterMeaning::Sw) {
                saturationsOld[FluidSystem::waterPhaseIdx] =
                    priVarsOld[Indices::waterSwitchIdx];
                oilSaturationOld -= saturationsOld[FluidSystem::waterPhaseIdx];
            }
 
            if (priVarsOld.primaryVarsMeaningGas() == PrimaryVariables::GasMeaning::Sg)
            {
                assert(Indices::compositionSwitchIdx != std::numeric_limits<unsigned>::max());
                saturationsOld[FluidSystem::gasPhaseIdx] =
                    priVarsOld[Indices::compositionSwitchIdx];
                oilSaturationOld -= saturationsOld[FluidSystem::gasPhaseIdx];
            }
 
            if (FluidSystem::phaseIsActive(FluidSystem::oilPhaseIdx)) {
                saturationsOld[FluidSystem::oilPhaseIdx] = oilSaturationOld;
            }
            for (unsigned phaseIdx = 0; phaseIdx < FluidSystem::numPhases; ++ phaseIdx) {
                Scalar tmpSat = saturationsNew[phaseIdx] - saturationsOld[phaseIdx];
                resultDelta += tmpSat*tmpSat;
                resultDenom += saturationsNew[phaseIdx]*saturationsNew[phaseIdx];
                // Non-finite here comes from the solution, not from a broken
                // invariant, so report it instead of vanishing in release.
                if (!std::isfinite(resultDelta) || !std::isfinite(resultDenom)) {
                    OPM_THROW(std::runtime_error,
                              "Non-finite solution change in the convergence measure");
                }
            }
        }
    }
 
    resultDelta = gridView.comm().sum(resultDelta);
    resultDenom = gridView.comm().sum(resultDenom);
 
    return resultDenom > 0.0 ? resultDelta / resultDenom : 0.0;
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
solveJacobianSystem(BVector& x)
{
    auto& jacobian = this->simulator_.model().linearizer().jacobian().istlMatrix();
    auto& residual = this->simulator_.model().linearizer().residual();
    auto& linSolver = this->simulator_.model().newtonMethod().linearSolver();
 
    const int numSolvers = linSolver.numAvailableSolvers();
    if (numSolvers > 1 && (linSolver.getSolveCount() % 100 == 0)) {
        if (this->terminal_output_) {
            OpmLog::debug("\nRunning speed test for comparing available linear solvers.");
        }
 
        Dune::Timer perfTimer;
        std::vector<double> times(numSolvers);
        std::vector<double> setupTimes(numSolvers);
 
        x = 0.0;
        std::vector<BVector> x_trial(numSolvers, x);
        for (int solver = 0; solver < numSolvers; ++solver) {
            linSolver.setActiveSolver(solver);
            perfTimer.start();
            linSolver.prepare(jacobian, residual);
            setupTimes[solver] = perfTimer.stop();
            perfTimer.reset();
            linSolver.setResidual(residual);
            perfTimer.start();
            linSolver.solve(x_trial[solver]);
            times[solver] = setupTimes[solver] + perfTimer.stop();
            perfTimer.reset();
            if (this->terminal_output_) {
                OpmLog::debug(fmt::format(fmt::runtime("Solver time {}: {}"), solver, times[solver]));
            }
        }
 
        int fastest_solver = std::ranges::min_element(times) - times.begin();
        // Use timing on rank 0 to determine fastest, must be consistent across ranks.
        this->grid_.comm().broadcast(&fastest_solver, 1, 0);
        this->linear_solve_setup_time_ = setupTimes[fastest_solver];
        x = x_trial[fastest_solver];
        linSolver.setActiveSolver(fastest_solver);
    }
    else {
        x = 0.0;
 
        Dune::Timer perfTimer;
        perfTimer.start();
        linSolver.prepare(jacobian, residual);
        this->linear_solve_setup_time_ = perfTimer.stop();
        linSolver.setResidual(residual);
        // actually, the error needs to be calculated after setResidual in order to
        // account for parallelization properly. since the residual of ECFV
        // discretizations does not need to be synchronized across processes to be
        // consistent, this is not relevant for OPM-flow...
        linSolver.solve(x);
    }
}
 
template <class TypeTag>
bool
NonlinearSystemBlackOilReservoir<TypeTag>::
shouldStoreSolutionUpdate() const
{
    return this->param_.tolerance_max_dp_ > 0.0 || this->param_.tolerance_max_ds_ > 0.0
        || this->param_.tolerance_max_drs_ > 0.0 || this->param_.tolerance_max_drv_ > 0.0;
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
prepareSolutionUpdate()
{
    // Init. solution update vector
    unsigned nc = this->simulator_.model().numGridDof();
    solUpd_.resize(nc);
 
    const auto& elemMapper = this->simulator_.model().elementMapper();
    const auto& gridView = this->simulator_.gridView();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        // Copy solution vector to transfer primary variables meaning
        unsigned globalElemIdx = elemMapper.index(elem);
        solUpd_[globalElemIdx] = this->simulator_.model().solution(/*timeIdx=*/0)[globalElemIdx];
 
        // Ensure each element is zero
        std::ranges::fill(solUpd_[globalElemIdx], 0.0);
    }
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
storeSolutionUpdate(const GlobalEqVector& dx)
{
    const auto& elemMapper = this->simulator_.model().elementMapper();
    const auto& gridView = this->simulator_.gridView();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        // Get cell vectors
        unsigned globalElemIdx = elemMapper.index(elem);
        auto& value = solUpd_[globalElemIdx];
        const auto& update = dx[globalElemIdx];
        assert(value.size() == update.size());
 
        // Transfer update from dx to solution update container (SolutionVector type)
        std::ranges::copy(update, value.begin());
    }
}
 
template <class TypeTag>
typename NonlinearSystemBlackOilReservoir<TypeTag>::MaxSolutionUpdateData
NonlinearSystemBlackOilReservoir<TypeTag>::
getMaxSolutionUpdate(const std::vector<unsigned>& ixCells)
{
    static constexpr bool enableSolvent =
        Indices::solventSaturationIdx != std::numeric_limits<unsigned>::max();
    static constexpr bool enableBrine =
        Indices::saltConcentrationIdx != std::numeric_limits<unsigned>::max();
 
    // Init output
    Scalar dPMax = 0.0;
    Scalar dSMax = 0.0;
    Scalar dRsMax = 0.0;
    Scalar dRvMax = 0.0;
 
    // Loop over solution update, get the correct variables and calculate max.
    for (const auto& ix : ixCells) {
        const auto& value = solUpd_[ix];
        for (unsigned pvIdx = 0; pvIdx < value.size(); ++pvIdx) {
            if (pvIdx == Indices::pressureSwitchIdx) {
                dPMax = std::max(dPMax, std::abs(value[pvIdx]));
            }
            else if ((pvIdx == Indices::waterSwitchIdx
                       && value.primaryVarsMeaningWater() == PrimaryVariables::WaterMeaning::Sw)
                      || (pvIdx == Indices::compositionSwitchIdx
                          && value.primaryVarsMeaningGas() == PrimaryVariables::GasMeaning::Sg)
                      || (enableSolvent && pvIdx == Indices::solventSaturationIdx
                          && value.primaryVarsMeaningSolvent() == PrimaryVariables::SolventMeaning::Ss)
                      || (enableBrine && enableSaltPrecipitation && pvIdx == Indices::saltConcentrationIdx
                          && value.primaryVarsMeaningBrine() == PrimaryVariables::BrineMeaning::Sp) ) {
                dSMax = std::max(dSMax, std::abs(value[pvIdx]));
            }
            else if (pvIdx == Indices::compositionSwitchIdx
                     && value.primaryVarsMeaningGas() == PrimaryVariables::GasMeaning::Rs) {
                dRsMax = std::max(dRsMax, std::abs(value[pvIdx]));
            }
            else if (pvIdx == Indices::compositionSwitchIdx
                     && value.primaryVarsMeaningGas() == PrimaryVariables::GasMeaning::Rv) {
                dRvMax = std::max(dRvMax, std::abs(value[pvIdx]));
            }
        }
    }
 
    // Communicate max values
    dPMax = this->grid_.comm().max(dPMax);
    dSMax = this->grid_.comm().max(dSMax);
    dRsMax = this->grid_.comm().max(dRsMax);
    dRvMax = this->grid_.comm().max(dRvMax);
 
    return { dPMax, dSMax, dRsMax, dRvMax };
}
 
template <class TypeTag>
std::tuple<typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar,
           typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar>
NonlinearSystemBlackOilReservoir<TypeTag>::
convergenceReduction(Parallel::Communication comm,
                     const Scalar pvSumLocal,
                     const Scalar numAquiferPvSumLocal,
                     std::vector< Scalar >& R_sum,
                     std::vector< Scalar >& maxCoeff,
                     std::vector< Scalar >& B_avg)
{
    return ParentType::convergenceReduction(comm,
                                            pvSumLocal,
                                            numAquiferPvSumLocal,
                                            R_sum,
                                            maxCoeff,
                                            B_avg);
}
 
template <class TypeTag>
std::pair<typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar,
          typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar>
NonlinearSystemBlackOilReservoir<TypeTag>::
localConvergenceData(std::vector<Scalar>& R_sum,
                     std::vector<Scalar>& maxCoeff,
                     std::vector<Scalar>& B_avg,
                     std::vector<int>& maxCoeffCell)
{
    OPM_TIMEBLOCK(localConvergenceData);
    Scalar pvSumLocal = 0.0;
    Scalar numAquiferPvSumLocal = 0.0;
    const auto& model = this->simulator_.model();
    const auto& problem = this->simulator_.problem();
 
    const auto& residual = this->simulator_.model().linearizer().residual();
 
    ElementContext elemCtx(this->simulator_);
    const auto& gridView = this->simulator().gridView();
    IsNumericalAquiferCell isNumericalAquiferCell(gridView.grid());
    OPM_BEGIN_PARALLEL_TRY_CATCH();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        elemCtx.updatePrimaryStencil(elem);
        elemCtx.updatePrimaryIntensiveQuantities(/*timeIdx=*/0);
 
        const unsigned cell_idx = elemCtx.globalSpaceIndex(/*spaceIdx=*/0, /*timeIdx=*/0);
        const auto& intQuants = elemCtx.intensiveQuantities(/*spaceIdx=*/0, /*timeIdx=*/0);
        const auto& fs = intQuants.fluidState();
 
        const auto pvValue = problem.referencePorosity(cell_idx, /*timeIdx=*/0) *
                             model.dofTotalVolume(cell_idx);
        pvSumLocal += pvValue;
 
        if (isNumericalAquiferCell(elem)) {
            numAquiferPvSumLocal += pvValue;
        }
 
        this->getMaxCoeff(cell_idx, intQuants, fs, residual, pvValue,
                          B_avg, R_sum, maxCoeff, maxCoeffCell);
    }
 
    OPM_END_PARALLEL_TRY_CATCH("NonlinearSystemBlackOilReservoir::localConvergenceData() failed: ", this->grid_.comm());
 
    // compute local average in terms of global number of elements
    const int bSize = B_avg.size();
    for (int i = 0; i < bSize; ++i) {
        B_avg[i] /= Scalar(this->global_nc_);
    }
 
    return {pvSumLocal, numAquiferPvSumLocal};
}
 
template <class TypeTag>
typename NonlinearSystemBlackOilReservoir<TypeTag>::CnvPvSplitData
NonlinearSystemBlackOilReservoir<TypeTag>::
characteriseCnvPvSplit(const std::vector<Scalar>& B_avg, const double dt)
{
    OPM_TIMEBLOCK(computeCnvErrorPv);
 
    // 0: cnv <= tolerance_cnv
    // 1: tolerance_cnv < cnv <= tolerance_cnv_relaxed
    // 2: tolerance_cnv_relaxed < cnv
    constexpr auto numPvGroups = std::vector<double>::size_type{3};
 
    auto cnvPvSplit = std::pair<std::vector<double>, std::vector<int>> {
        std::piecewise_construct,
        std::forward_as_tuple(numPvGroups),
        std::forward_as_tuple(numPvGroups)
    };
 
    auto maxCNV = [&B_avg, dt](const auto& residual, const double pvol)
    {
        return (dt / pvol) *
            std::inner_product(residual.begin(), residual.end(),
                               B_avg.begin(), Scalar{0},
                               [](const Scalar m, const auto& x)
                               {
                                   using std::abs;
                                   return std::max(m, abs(x));
                               }, std::multiplies<>{});
    };
 
    auto& [splitPV, cellCntPV] = cnvPvSplit;
 
    const auto& model = this->simulator().model();
    const auto& problem = this->simulator().problem();
    const auto& residual = model.linearizer().residual();
    const auto& gridView = this->simulator().gridView();
 
    const IsNumericalAquiferCell isNumericalAquiferCell(gridView.grid());
 
    ElementContext elemCtx(this->simulator());
 
    std::vector<unsigned> ixCells;
 
    OPM_BEGIN_PARALLEL_TRY_CATCH();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        // Skip cells of numerical Aquifer
        if (isNumericalAquiferCell(elem)) {
            continue;
        }
 
        elemCtx.updatePrimaryStencil(elem);
 
        const unsigned cell_idx = elemCtx.globalSpaceIndex(/*spaceIdx=*/0, /*timeIdx=*/0);
        const auto pvValue = problem.referencePorosity(cell_idx, /*timeIdx=*/0)
            * model.dofTotalVolume(cell_idx);
 
        const auto maxCnv = maxCNV(residual[cell_idx], pvValue);
 
        const auto ix = (maxCnv > this->param_.tolerance_cnv_)
            + (maxCnv > this->param_.tolerance_cnv_relaxed_);
 
        splitPV[ix] += static_cast<double>(pvValue);
        ++cellCntPV[ix];
 
        // For dP and dS check, we need cell indices of [1] violations
        if ( ix > 0 &&
             (this->param_.tolerance_max_dp_ > 0.0 || this->param_.tolerance_max_ds_ > 0.0
              || this->param_.tolerance_max_drs_ > 0.0 || this->param_.tolerance_max_drv_ > 0.0 ) ) {
            ixCells.push_back(cell_idx);
        }
    }
 
    OPM_END_PARALLEL_TRY_CATCH("NonlinearSystemBlackOilReservoir::characteriseCnvPvSplit() failed: ",
                               this->grid_.comm());
 
    this->grid_.comm().sum(splitPV  .data(), splitPV  .size());
    this->grid_.comm().sum(cellCntPV.data(), cellCntPV.size());
 
    return { cnvPvSplit, ixCells };
}
 
template <class TypeTag>
ConvergenceReport
NonlinearSystemBlackOilReservoir<TypeTag>::
getReservoirConvergence(const double reportTime,
                        const double dt,
                        const int maxIter,
                        std::vector<Scalar>& B_avg,
                        std::vector<Scalar>& residual_norms)
{
    OPM_TIMEBLOCK(getReservoirConvergence);
    using Vector = std::vector<Scalar>;
 
    const auto& iterCtx = this->simulator_.problem().iterationContext();
 
    ConvergenceReport report{reportTime};
 
    const int numComp = numEq;
 
    Vector R_sum(numComp, Scalar{0});
    Vector maxCoeff(numComp, std::numeric_limits<Scalar>::lowest());
    std::vector<int> maxCoeffCell(numComp, -1);
 
    const auto [pvSumLocal, numAquiferPvSumLocal] =
        this->localConvergenceData(R_sum, maxCoeff, B_avg, maxCoeffCell);
 
    // compute global sum and max of quantities
    const auto& [pvSum, numAquiferPvSum] =
        this->convergenceReduction(this->grid_.comm(),
                                   pvSumLocal,
                                   numAquiferPvSumLocal,
                                   R_sum, maxCoeff, B_avg);
 
    auto cnvSplitData = this->characteriseCnvPvSplit(B_avg, dt);
    report.setCnvPoreVolSplit(cnvSplitData.cnvPvSplit,
                              pvSum - numAquiferPvSum);
 
    // For each iteration, we need to determine whether to use the
    // relaxed tolerances.  To disable the usage of relaxed
    // tolerances, you can set the relaxed tolerances as the strict
    // tolerances.  If min_strict_mb_iter = -1 (default) we use a
    // relaxed tolerance for the mass balance for the last
    // iterations.  For positive values we use the relaxed tolerance
    // after the given number of iterations
    const bool relax_final_iteration_mb =
        this->param_.min_strict_mb_iter_ < 0 && iterCtx.iteration() == maxIter;
 
    const bool relax_iter_mb = this->param_.min_strict_mb_iter_ >= 0 &&
                               iterCtx.shouldRelax(this->param_.min_strict_mb_iter_);
 
    const bool use_relaxed_mb = relax_final_iteration_mb
        || relax_iter_mb;
 
    // If min_strict_cnv_iter = -1 we use a relaxed tolerance for
    // the cnv for the last iterations.  For positive values we use
    // the relaxed tolerance after the given number of iterations.
    // We also use relaxed tolerances for cells with total
    // pore-volume less than relaxed_max_pv_fraction_.  Default
    // value of relaxed_max_pv_fraction_ is 0.03
    const bool relax_final_iteration_cnv =
        this->param_.min_strict_cnv_iter_ < 0 && iterCtx.iteration() == maxIter;
 
    const bool relax_iter_cnv = this->param_.min_strict_cnv_iter_ >= 0 &&
                                iterCtx.shouldRelax(this->param_.min_strict_cnv_iter_);
 
    // Note trailing parentheses here, just before the final
    // semicolon.  This is an immediately invoked function
    // expression which calculates a single boolean value.
    const auto relax_pv_fraction_cnv =
        [&report, this, eligible = pvSum - numAquiferPvSum]()
    {
        const auto& cnvPvSplit = report.cnvPvSplit().first;
 
        // [1]: tol < cnv <= relaxed
        // [2]: relaxed < cnv
        Scalar cnvPvSum = static_cast<Scalar>(cnvPvSplit[1] + cnvPvSplit[2]);
        return cnvPvSum < this->param_.relaxed_max_pv_fraction_ * eligible &&
            cnvPvSum > 0.0;
    }();
 
    // If tolerances for solution changes are met, we use the
    // relaxed cnv tolerance. Note that all tolerances > 0.0
    // must be met to enable use of relaxed cnv tolerance.
    MaxSolutionUpdateData maxSolUpd;
    const bool use_dp_tol = this->param_.tolerance_max_dp_ > 0.0;
    const bool use_ds_tol = this->param_.tolerance_max_ds_ > 0.0;
    const bool use_drs_tol = this->param_.tolerance_max_drs_ > 0.0;
    const bool use_drv_tol = this->param_.tolerance_max_drv_ > 0.0;
    const bool use_dsol_tol = use_dp_tol || use_ds_tol || use_drs_tol || use_drv_tol;
    bool relax_dsol_cnv = false;
    if (!iterCtx.isFirstGlobalIteration() && use_dsol_tol) {
        maxSolUpd = getMaxSolutionUpdate(cnvSplitData.ixCells);
        relax_dsol_cnv =
            (!use_dp_tol || (maxSolUpd.dPMax > 0.0 && maxSolUpd.dPMax < this->param_.tolerance_max_dp_)) &&
            (!use_ds_tol || (maxSolUpd.dSMax > 0.0 && maxSolUpd.dSMax < this->param_.tolerance_max_ds_)) &&
            (!use_drs_tol || (maxSolUpd.dRsMax > 0.0 && maxSolUpd.dRsMax < this->param_.tolerance_max_drs_)) &&
            (!use_drv_tol || (maxSolUpd.dRvMax > 0.0 && maxSolUpd.dRvMax < this->param_.tolerance_max_drv_));
    }
 
    // Determine if relaxed CNV tolerances should be used
    const bool use_relaxed_cnv = relax_final_iteration_cnv
        || relax_pv_fraction_cnv
        || relax_iter_cnv
        || relax_dsol_cnv;
 
    // Ensure that CNV convergence criteria is met when max.
    // solution change tolerances have been fulfilled
    Scalar tolerance_cnv_relaxed = relax_dsol_cnv ? 1e20 : this->param_.tolerance_cnv_relaxed_;
 
    const auto tol_cnv = use_relaxed_cnv ? tolerance_cnv_relaxed : this->param_.tolerance_cnv_;
    const auto tol_mb  = use_relaxed_mb ? this->param_.tolerance_mb_relaxed_ : this->param_.tolerance_mb_;
 
    // Record which condition granted the relaxation, so the accepted state's quality is
    // visible in the output. Order mirrors the code's own precedence.
    {
        using RS = ConvergenceReport::CnvRelaxSource;
        const auto source = relax_dsol_cnv          ? RS::SolChange
                          : relax_pv_fraction_cnv   ? RS::PvFraction
                          : relax_final_iteration_cnv ? RS::FinalIter
                          : relax_iter_cnv          ? RS::IterCount
                                                    : RS::None;
        report.setCnvRelaxation(source, static_cast<double>(tol_cnv));
    }
    const auto tol_cnv_energy = use_relaxed_cnv ? this->param_.tolerance_cnv_energy_relaxed_ : this->param_.tolerance_cnv_energy_;
    const auto tol_eb = use_relaxed_mb ?  this->param_.tolerance_energy_balance_relaxed_ : this->param_.tolerance_energy_balance_;
 
    // Finish computation
    std::vector<Scalar> CNV(numComp);
    std::vector<Scalar> mass_balance_residual(numComp);
    for (int compIdx = 0; compIdx < numComp; ++compIdx)
    {
        CNV[compIdx]                    = B_avg[compIdx] * dt * maxCoeff[compIdx];
        mass_balance_residual[compIdx]  = std::abs(B_avg[compIdx]*R_sum[compIdx]) * dt / pvSum;
        residual_norms.push_back(CNV[compIdx]);
    }
 
    using CR = ConvergenceReport;
    for (int compIdx = 0; compIdx < numComp; ++compIdx) {
        const Scalar res[2] = {
            mass_balance_residual[compIdx], CNV[compIdx],
        };
 
        const CR::ReservoirFailure::Type types[2] = {
            CR::ReservoirFailure::Type::MassBalance,
            CR::ReservoirFailure::Type::Cnv,
        };
 
        Scalar tol[2] = { tol_mb, tol_cnv, };
        if (has_energy_ && compIdx == contiEnergyEqIdx) {
            tol[0] = tol_eb;
            tol[1] = tol_cnv_energy;
        }
 
        this->addReservoirConvergenceMetrics(
            report,
            compIdx,
            this->compNames_.name(compIdx),
            std::span<const Scalar>{res},
            std::span<const CR::ReservoirFailure::Type>{types},
            std::span<const Scalar>{tol},
            maxResidualAllowed(),
            [this](const std::string& message)
            {
                if (this->terminal_output_) {
                    OpmLog::debug(message);
                }
            });
    }
 
    // Compute the Newton convergence per cell.
    this->convergencePerCell(B_avg, dt, tol_cnv, tol_cnv_energy);
 
    // Output of residuals.
    if (this->terminal_output_) {
        // Only rank 0 does print to std::cout
        if (iterCtx.isFirstGlobalIteration()) {
            std::string msg = "Iter";
            for (int compIdx = 0; compIdx < numComp; ++compIdx) {
                msg += "    MB(";
                msg += this->compNames_.name(compIdx)[0];
                msg += ")  ";
            }
 
            for (int compIdx = 0; compIdx < numComp; ++compIdx) {
                msg += "    CNV(";
                msg += this->compNames_.name(compIdx)[0];
                msg += ") ";
            }
 
            if (use_dsol_tol) {
                msg += use_dp_tol ? "    DP     " : "";
                msg += use_ds_tol ? "    DS     " : "";
                msg += use_drs_tol ? "    DRS    " : "";
                msg += use_drv_tol ? "    DRV    " : "";
            }
 
            msg += "   MBFLAG";
            msg += "  CNVFLAG";
 
            OpmLog::debug(msg);
        }
 
        std::ostringstream ss;
        const std::streamsize oprec = ss.precision(3);
        const std::ios::fmtflags oflags = ss.setf(std::ios::scientific);
 
        ss << std::setw(4) << iterCtx.iteration();
        for (int compIdx = 0; compIdx < numComp; ++compIdx) {
            ss << std::setw(11) << mass_balance_residual[compIdx];
        }
 
        for (int compIdx = 0; compIdx < numComp; ++compIdx) {
            ss << std::setw(11) << CNV[compIdx];
        }
 
        if (use_dsol_tol) {
            auto print_dsol =
            [&] (bool use_tol, Scalar dsol) {
                if (!use_tol) {
                    return;
                }
                if (iterCtx.isFirstGlobalIteration() || dsol <= 0.0) {
                    ss << std::string(5, ' ') << "-" << std::string(5, ' ');
                }
                else {
                    ss << std::setw(11) << dsol;
                }
            };
            print_dsol(use_dp_tol, maxSolUpd.dPMax);
            print_dsol(use_ds_tol, maxSolUpd.dSMax);
            print_dsol(use_drs_tol, maxSolUpd.dRsMax);
            print_dsol(use_drv_tol, maxSolUpd.dRvMax);
        }
 
        const auto mb_flag = use_relaxed_mb
            ? DebugFlags::RELAXED
            : DebugFlags::STRICT;
 
        const auto cnv_flag = relax_dsol_cnv ?
            DebugFlags::TUNINGDP
            : (use_relaxed_cnv
               ? DebugFlags::RELAXED
               : DebugFlags::STRICT);
 
        ss << std::setw(9) << make_string<TypeTag>(mb_flag)
           << std::setw(9) << make_string<TypeTag>(cnv_flag);
 
        ss.precision(oprec);
        ss.flags(oflags);
 
        OpmLog::debug(ss.str());
    }
 
    return report;
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
convergencePerCell(const std::vector<Scalar>& B_avg,
                   const double dt,
                   const double tol_cnv,
                   const double tol_cnv_energy)
{
    auto& rst_conv = this->simulator_.problem().eclWriter().mutableOutputModule().getConv();
    if (!rst_conv.hasConv()) {
        return;
    }
 
    if (this->simulator_.problem().iterationContext().isFirstGlobalIteration()) {
        rst_conv.prepareConv();
    }
 
    const auto& residual = this->simulator_.model().linearizer().residual();
    const auto& gridView = this->simulator_.gridView();
    const IsNumericalAquiferCell isNumericalAquiferCell(gridView.grid());
    ElementContext elemCtx(this->simulator());
    std::vector<int> convNewt(residual.size(), 0);
    OPM_BEGIN_PARALLEL_TRY_CATCH();
    unsigned idx = 0;
    const int numComp = B_avg.size();
    for (const auto& elem : elements(gridView, Dune::Partitions::interior)) {
        elemCtx.updatePrimaryStencil(elem);
 
        const unsigned cell_idx = elemCtx.globalSpaceIndex(/*spaceIdx=*/0, /*timeIdx=*/0);
        const auto pvValue = this->simulator_.problem().referencePorosity(cell_idx, /*timeIdx=*/0) *
                             this->simulator_.model().dofTotalVolume(cell_idx);
        for (int compIdx = 0; compIdx < numComp; ++compIdx) {
            const auto tol = (has_energy_ && compIdx == contiEnergyEqIdx) ? tol_cnv_energy : tol_cnv;
            const Scalar cnv = std::abs(B_avg[compIdx] * residual[cell_idx][compIdx]) * dt / pvValue;
            if (std::isnan(cnv) || cnv > maxResidualAllowed() || cnv < 0.0 || cnv > tol) {
                convNewt[idx] = 1;
                break;
            }
        }
        ++idx;
    }
    OPM_END_PARALLEL_TRY_CATCH("NonlinearSystemBlackOilReservoir::convergencePerCell() failed: ",
                               this->grid_.comm());
    rst_conv.updateNewton(convNewt);
}
 
template <class TypeTag>
ConvergenceReport
NonlinearSystemBlackOilReservoir<TypeTag>::
getConvergence(const SimulatorTimerInterface& timer,
               const int maxIter,
               std::vector<Scalar>& residual_norms)
{
    OPM_TIMEBLOCK(getConvergence);
    // Get convergence reports for reservoir and wells.
    std::vector<Scalar> B_avg(numEq, 0.0);
    auto report = getReservoirConvergence(timer.simulationTimeElapsed(),
                                          timer.currentStepLength(),
                                          maxIter, B_avg, residual_norms);
    {
        OPM_TIMEBLOCK(getWellConvergence);
        report += this->wellModel().getWellConvergence(B_avg,
                                                       /*checkWellGroupControlsAndNetwork*/report.converged());
    }
 
    conv_monitor_.checkPenaltyCard(report, this->simulator_.problem().iterationContext().iteration());
 
    return report;
}
 
template <class TypeTag>
std::vector<std::vector<typename NonlinearSystemBlackOilReservoir<TypeTag>::Scalar> >
NonlinearSystemBlackOilReservoir<TypeTag>::
computeFluidInPlace(const std::vector<int>& /*fipnum*/) const
{
    OPM_TIMEBLOCK(computeFluidInPlace);
    // assert(true)
    // return an empty vector
    std::vector<std::vector<Scalar> > regionValues(0, std::vector<Scalar>(0,0.0));
    return regionValues;
}
 
template <class TypeTag>
const SimulatorReport&
NonlinearSystemBlackOilReservoir<TypeTag>::
localAccumulatedReports() const
{
    if (!hasNlddSolver()) {
        OPM_THROW(std::runtime_error, "Cannot get local reports from a model without NLDD solver");
    }
    return nlddSolver_->localAccumulatedReports();
}
 
template <class TypeTag>
const std::vector<SimulatorReport>&
NonlinearSystemBlackOilReservoir<TypeTag>::
domainAccumulatedReports() const
{
    if (!nlddSolver_)
        OPM_THROW(std::runtime_error, "Cannot get domain reports from a model without NLDD solver");
    return nlddSolver_->domainAccumulatedReports();
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
writeNonlinearIterationsPerCell(const std::filesystem::path& odir) const
{
    if (hasNlddSolver()) {
        nlddSolver_->writeNonlinearIterationsPerCell(odir);
    }
}
 
template <class TypeTag>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
writePartitions(const std::filesystem::path& odir) const
{
    if (hasNlddSolver()) {
        nlddSolver_->writePartitions(odir);
        return;
    }
 
    const auto& elementMapper = this->simulator().model().elementMapper();
    const auto& cartMapper = this->simulator().vanguard().cartesianIndexMapper();
 
    const auto& grid = this->simulator().vanguard().grid();
    const auto& comm = grid.comm();
    const auto nDigit = 1 + static_cast<int>(std::floor(std::log10(comm.size())));
 
    std::ofstream pfile {odir / fmt::format("{1:0>{0}}", nDigit, comm.rank())};
 
    for (const auto& cell : elements(grid.leafGridView(), Dune::Partitions::interior)) {
        pfile << comm.rank() << ' '
              << cartMapper.cartesianIndex(elementMapper.index(cell)) << ' '
              << comm.rank() << '\n';
    }
}
 
template <class TypeTag>
template<class FluidState, class Residual>
void
NonlinearSystemBlackOilReservoir<TypeTag>::
getMaxCoeff(const unsigned cell_idx,
            const IntensiveQuantities& intQuants,
            const FluidState& fs,
            const Residual& modelResid,
            const Scalar pvValue,
            std::vector<Scalar>& B_avg,
            std::vector<Scalar>& R_sum,
            std::vector<Scalar>& maxCoeff,
            std::vector<int>& maxCoeffCell)
{
    for (unsigned phaseIdx = 0; phaseIdx < FluidSystem::numPhases; ++phaseIdx)
    {
        if (!FluidSystem::phaseIsActive(phaseIdx)) {
            continue;
        }
 
        const unsigned sIdx = FluidSystem::solventComponentIndex(phaseIdx);
        const unsigned compIdx = FluidSystem::canonicalToActiveCompIdx(sIdx);
 
        B_avg[compIdx] += 1.0 / fs.invB(phaseIdx).value();
        const auto R2 = modelResid[cell_idx][compIdx];
 
        R_sum[compIdx] += R2;
        const Scalar Rval = std::abs(R2) / pvValue;
        if (Rval > maxCoeff[compIdx]) {
            maxCoeff[compIdx] = Rval;
            maxCoeffCell[compIdx] = cell_idx;
        }
    }
 
    if constexpr (has_solvent_) {
        B_avg[contiSolventEqIdx] +=
            1.0 / intQuants.solventInverseFormationVolumeFactor().value();
        const auto R2 = modelResid[cell_idx][contiSolventEqIdx];
        R_sum[contiSolventEqIdx] += R2;
        maxCoeff[contiSolventEqIdx] = std::max(maxCoeff[contiSolventEqIdx],
                                               std::abs(R2) / pvValue);
    }
    if constexpr (has_extbo_) {
        B_avg[contiZfracEqIdx] += 1.0 / fs.invB(FluidSystem::gasPhaseIdx).value();
        const auto R2 = modelResid[cell_idx][contiZfracEqIdx];
        R_sum[ contiZfracEqIdx ] += R2;
        maxCoeff[contiZfracEqIdx] = std::max(maxCoeff[contiZfracEqIdx],
                                             std::abs(R2) / pvValue);
    }
    if constexpr (has_polymer_) {
        B_avg[contiPolymerEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
        const auto R2 = modelResid[cell_idx][contiPolymerEqIdx];
        R_sum[contiPolymerEqIdx] += R2;
        maxCoeff[contiPolymerEqIdx] = std::max(maxCoeff[contiPolymerEqIdx],
                                               std::abs(R2) / pvValue);
    }
    if constexpr (has_foam_) {
        B_avg[ contiFoamEqIdx ] += 1.0 / fs.invB(FluidSystem::gasPhaseIdx).value();
        const auto R2 = modelResid[cell_idx][contiFoamEqIdx];
        R_sum[contiFoamEqIdx] += R2;
        maxCoeff[contiFoamEqIdx] = std::max(maxCoeff[contiFoamEqIdx],
                                            std::abs(R2) / pvValue);
    }
    if constexpr (has_brine_) {
        B_avg[ contiBrineEqIdx ] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
        const auto R2 = modelResid[cell_idx][contiBrineEqIdx];
        R_sum[contiBrineEqIdx] += R2;
        maxCoeff[contiBrineEqIdx] = std::max(maxCoeff[contiBrineEqIdx],
                                             std::abs(R2) / pvValue);
    }
 
    if constexpr (has_polymermw_) {
        static_assert(has_polymer_);
 
        B_avg[contiPolymerMWEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
        // the residual of the polymer molecular equation is scaled down by a 100, since molecular weight
        // can be much bigger than 1, and this equation shares the same tolerance with other mass balance equations
        // TODO: there should be a more general way to determine the scaling-down coefficient
        const auto R2 = modelResid[cell_idx][contiPolymerMWEqIdx] / 100.;
        R_sum[contiPolymerMWEqIdx] += R2;
        maxCoeff[contiPolymerMWEqIdx] = std::max(maxCoeff[contiPolymerMWEqIdx],
                                                 std::abs(R2) / pvValue);
    }
 
    if constexpr (has_energy_) {
        B_avg[contiEnergyEqIdx] += 1.0;
        const auto R2 = modelResid[cell_idx][contiEnergyEqIdx];
        R_sum[contiEnergyEqIdx] += R2;
        maxCoeff[contiEnergyEqIdx] = std::max(maxCoeff[contiEnergyEqIdx],
                                              std::abs(R2) / pvValue);
    }
 
    if constexpr (has_bioeffects_) {
        B_avg[contiMicrobialEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
        const auto R1 = modelResid[cell_idx][contiMicrobialEqIdx];
        R_sum[contiMicrobialEqIdx] += R1;
        maxCoeff[contiMicrobialEqIdx] = std::max(maxCoeff[contiMicrobialEqIdx],
                                                std::abs(R1) / pvValue);
        B_avg[contiBiofilmEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
        const auto R2 = modelResid[cell_idx][contiBiofilmEqIdx];
        R_sum[contiBiofilmEqIdx] += R2;
        maxCoeff[contiBiofilmEqIdx] = std::max(maxCoeff[contiBiofilmEqIdx],
                                               std::abs(R2) / pvValue);
        if constexpr (has_micp_) {
            B_avg[contiOxygenEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
            const auto R3 = modelResid[cell_idx][contiOxygenEqIdx];
            R_sum[contiOxygenEqIdx] += R3;
            maxCoeff[contiOxygenEqIdx] = std::max(maxCoeff[contiOxygenEqIdx],
                                                std::abs(R3) / pvValue);
            B_avg[contiUreaEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
            const auto R4 = modelResid[cell_idx][contiUreaEqIdx];
            R_sum[contiUreaEqIdx] += R4;
            maxCoeff[contiUreaEqIdx] = std::max(maxCoeff[contiUreaEqIdx],
                                                std::abs(R4) / pvValue);
            B_avg[contiCalciteEqIdx] += 1.0 / fs.invB(FluidSystem::waterPhaseIdx).value();
            const auto R5 = modelResid[cell_idx][contiCalciteEqIdx];
            R_sum[contiCalciteEqIdx] += R5;
            maxCoeff[contiCalciteEqIdx] = std::max(maxCoeff[contiCalciteEqIdx],
                                                std::abs(R5) / pvValue);
            }
    }
}
 
} // namespace Opm
 
#endif // OPM_NONLINEAR_SYSTEM_BLACK_OIL_RESERVOIR_IMPL_HEADER_INCLUDED