conv_temp_eden_ioniz.cpp

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/* This file is part of Cloudy and is copyright (C)1978-2017 by Gary J. Ferland and
 * others.  For conditions of distribution and use see copyright notice in license.txt */
/*ConvTempEdenIoniz determine  temperature, called by ConPresTempEdenIoniz,
 * calls ConvEdenIoniz to get electron density and ionization */
/*lgConvTemp returns true if heating-cooling is converged */
/*CoolHeatError evaluate ionization, and difference in heating and cooling, for temperature temp */
/*DumpCoolStack helper routine to dump major coolants */
/*DumpHeatStack helper routine to dump major heating agents */
#include "cddefines.h"
#include "hmi.h"
#include "thermal.h"
#include "colden.h"
#include "pressure.h"
#include "dense.h"
#include "trace.h"
#include "phycon.h"
#include "conv.h"
#include "physconst.h"
#include "iter_track.h"
#include "radius.h"

/*lgConvTemp returns true if heating-cooling is converged */
STATIC bool lgConvTemp(const iter_track& TeTrack);
/*CoolHeatError evaluate ionization, and difference in heating and cooling, for temperature temp */
STATIC double CoolHeatError( double temp );

// debugging routines to print main sources of cooling and heating
STATIC void DumpCoolStack(double thres);
STATIC void DumpHeatStack(double thres);

/*ConvTempEdenIoniz determine  temperature, called by ConPresTempEdenIoniz,
 * calls ConvEdenIoniz to get electron density and ionization 
 * returns 0 if ok, 1 if disaster */
int ConvTempEdenIoniz( void )
{
        DEBUG_ENTRY( "ConvTempEdenIoniz()" );

        if( trace.lgTrace )
        {
                fprintf( ioQQQ, "\n  ConvTempEdenIoniz called\n" );
        }
        if( trace.nTrConvg >= 2 )
        {
                fprintf( ioQQQ, "  ConvTempEdenIoniz called, entering temp loop using solver %s.\n",
                         conv.chSolverTemp );
        }

        // deal with special temperature laws first
        if( thermal.lgTemperatureConstant || thermal.lgTLaw )
        {
                if( thermal.lgTLaw )
                {
                        double TeNew = phycon.te;
                        if( thermal.lgTeBD96 )
                        {
                                /* Bertoldi & Drain 96 temp law specified by TLAW BD96 command */
                                TeNew = thermal.T0BD96 / (1. + thermal.SigmaBD96 * colden.colden[ipCOL_HTOT]);
                        }
                        else if( thermal.lgTeSN99 )
                        {
                                /* Sternberg & Neufeld 99 temp law specified by TLAW SN99 command,
                                 * this is equation 16 of 
                                 * >>refer      H2      temp    Sternberg, A., & Neufeld, D. A. 1999, ApJ, 516, 371-380 */
                                TeNew = thermal.T0SN99 / 
                                        (1. + 9.*POW4(2.*hmi.H2_total/dense.gas_phase[ipHYDROGEN]) );
                        }
                        else if( thermal.lgTeTLaw )
                        {
                                /* Tabulate temperature tlaw */
                                TeNew = thermal.tlaw.tabval(radius.Radius, radius.depth);
                        }
                        else
                                TotalInsanity();

                        TempChange( TeNew, false );
                }

                if( ConvEdenIoniz() ) 
                        return 1;
                PresTotCurrent();
                
                // convergence is automatic...
                conv.lgConvTemp = true;
                
                if( trace.lgTrace || trace.nTrConvg >= 2 )
                {
                        fprintf( ioQQQ, "  ConvTempEdenIoniz: Te %e C %.4e H %.4e\n",
                                                phycon.te, thermal.ctot, thermal.htot );
                        fprintf( ioQQQ, "  ConvTempEdenIoniz returns ok.\n" );
                }

                return 0;
        }

        // this branch uses the van Wijngaarden-Dekker-Brent method
        if( strcmp( conv.chSolverTemp , "vWDB" ) == 0 )
        {
                conv.lgConvTemp = false;

                // here starts the standard solver for variable temperature
                iter_track TeTrack;
                double t1=0, error1=0, t2, error2;

                t2 = phycon.te;
                error2 = CoolHeatError( t2 );

                for( int n=0; n < 5 && !lgAbort; ++n )
                {
                        const int DEF_ITER = 10;
                        const double DEF_FACTOR = 0.2;
                        double step, factor = DEF_FACTOR;

                        TeTrack.clear();

                        step = min( abs(safe_div( error2, conv.dCmHdT, 0. )), factor*t2 );

                        // set up an initial guess for the bracket
                        // t2 was already initialized outside the main loop, or is copied from the
                        // previous iteration. don't record this evaluation, it may be poorly converged
                        for( int i=0; i < 100 && !lgAbort; ++i )
                        {
                                t1 = t2;
                                error1 = error2;

                                double maxstep = factor*t1;
                                // limited testing on the auto test suite shows that sqrt(2)
                                // is close to the optimal value
                                step = SQRT2*step;
                                if( step == 0.0 || step > maxstep )
                                        step = maxstep;
                                t2 = max( t1 + sign( step, -error1 ), phycon.TEMP_LIMIT_LOW );
                                error2 = CoolHeatError( t2 );
                                TeTrack.add( t2, error2 );

                                // if n > 0, this indicates a previous failure to solve Te
                                // this could be due to hysteresis (e.g. O-H charge transfer)
                                // so ignore the first n steps, even if they seem to indicate
                                // that a bracket is found, to allow the code some time to settle
                                if( i >= n && error1*error2 <= 0. )
                                        break;

                                // test for i >= n here to give the code a chance to declare
                                // "bracket found" before aborting...
                                if( i >= n && fp_equal( t2, phycon.TEMP_LIMIT_LOW ) )
                                {
                                        /* temp is too low */
                                        fprintf(ioQQQ," PROBLEM DISASTER - the kinetic temperature appears to be below the lower limit of the code,"
                                                          " %.3eK.  It does not bracket thermal balance.\n",
                                                          phycon.TEMP_LIMIT_LOW );
                                        fprintf(ioQQQ," This calculation is aborting.\n Sorry.\n");
                                        lgAbort = true;
                                        return 1;
                                }
                        }

                        if( trace.nTrConvg >= 2 && error1*error2 > 0. && !lgAbort )
                        {
                                fprintf( ioQQQ, "  ConvTempEdenIoniz: bracket1 fails t1: %e %e t2: %e %e\n",
                                         t1, error1, t2, error2 );
                                TeTrack.print_history();
                        }

                        // keeping the history up until now has a bad effect on convergence
                        // so we wipe the slate clean....
                        TeTrack.clear();

                        // the bracket should have been found, now set up the Brent solver
                        if( TeTrack.init_bracket( t1, error1, t2, error2 ) == 0 )
                        {
                                // The convergence criterion is based on the relative accuracy of Cool-Heat,
                                // combined with a relative accuracy on the temperature itself. We need to
                                // keep iterating until both accuracies are reached. Here we set tolerance on
                                // Te to 2 ulp. If bracket gets narrower than 3 ulp we declare a convergence
                                // failure to avoid changes getting lost in machine precision.
                                TeTrack.set_tol(2.*DBL_EPSILON*t2);

                                if( error1 != 0.0 || error2 != 0.0 )
                                        t2 = (t1*error2-t2*error1)/(error2-error1);
                                else
                                        t2 = 0.5*(t1+t2);

                                for( int i = 0; i < (1<<(n/2))*DEF_ITER && !lgAbort; i++ )
                                {
                                        // check for convergence, as well as a pathologically narrow bracket
                                        if( lgConvTemp(TeTrack) || TeTrack.bracket_width() < 3.*DBL_EPSILON*t2 )
                                                break;

                                        error2 = CoolHeatError( t2 );
                                        TeTrack.add( t2, error2 );
                                        t2 = TeTrack.next_val(factor);
                                }

                                if( conv.lgConvTemp )
                                        break;

                                if( trace.nTrConvg >= 2 && !conv.lgConvTemp && !lgAbort )
                                {
                                        fprintf( ioQQQ, "  ConvTempEdenIoniz: brent fails\n" );
                                        TeTrack.print_history();
                                }
                        }
                }

                if( lgAbort )
                        return 1;

                // only declare solution unstable if it is at least at the 2-sigma confidence level
                thermal.lgUnstable = ( conv.dCmHdT + 2.*conv.sigma_dCmHdT < 0. );

                if( trace.lgTrace || trace.nTrConvg >= 2 )
                {
                        fprintf( ioQQQ, "  ConvTempEdenIoniz: Te %e C %.4e H %.4e (C-H)/H %.2f%%"
                                 " d(C-H)/dT %.2e +/- %.2e\n",
                                 phycon.te, thermal.ctot, thermal.htot,
                                 (thermal.ctot/thermal.htot-1.)*100.,
                                 conv.dCmHdT, conv.sigma_dCmHdT );
                        fprintf( ioQQQ, "  ConvTempEdenIoniz returns converged=%c\n", TorF(conv.lgConvTemp) );
                }
        }
        else
        {
                fprintf( ioQQQ, "ConvTempEdenIoniz finds insane solver %s\n", conv.chSolverTemp );
                ShowMe();
        }

        return 0;
}


/* returns true if heating-cooling is converged */
STATIC bool lgConvTemp(const iter_track& TeTrack)
{
        DEBUG_ENTRY( "lgConvTemp()" );

        if( lgAbort )
        {
                /* converging the temperature was aborted */
                conv.lgConvTemp = false;
        }
        // The explicit test for H-C == 0. is needed since the requirement on the temperature
        // bracket width may not be simultaneously satisfied. Since we have found the zero point
        // exactly, we don't care about that... The temperature is as accurate as it is ever going
        // to be. Not doing the explicit test for H-C == 0. is a bug. If the temparture bracket is
        // too wide when we hit H-C == 0., this algorithm would never converge since vWDB requires
        // that the endpoints of the bracket have non-zero function values, so they cannot get
        // updated and the bracket width never gets smaller. So the requirement on the temperature
        // bracket width would never be satisfied...
        else if( thermal.htot - thermal.ctot == 0.
                 || ( abs(thermal.htot - thermal.ctot)/thermal.htot <= conv.HeatCoolRelErrorAllowed &&
                      TeTrack.bracket_width()/phycon.te <= conv.HeatCoolRelErrorAllowed/3. )
                 || thermal.lgTemperatureConstant )
        {
                /* announce that temp is converged if relative heating - cooling mismatch
                 * is less than the relative heating cooling error allowed and the width of
                 * the temperature bracket is sufficiently small (this assures that the
                 * temperature is also well determined if H-C is a shallow function of T).
                 * If this is a constant temperature model, force convergence */
                conv.lgConvTemp = true;
                // remember numerical derivative to estimate initial stepsize on next call
                conv.dCmHdT = TeTrack.deriv(conv.sigma_dCmHdT);
        }
        else
        {
                /* big mismatch, this has not converged */
                conv.lgConvTemp = false;
        }

        if( trace.nTrConvg >= 2 )
                fprintf( ioQQQ, "  lgConvTemp: C-H rel err %.4e Te rel err %.4e converged=%c\n",
                         abs(thermal.htot - thermal.ctot)/thermal.htot,
                         TeTrack.bracket_width()/phycon.te,
                         TorF(conv.lgConvTemp) );

        return conv.lgConvTemp;
}

/*CoolHeatError evaluate ionization, and difference in heating and cooling, for temperature temp */
STATIC double CoolHeatError( double temp )
{
        DEBUG_ENTRY( "CoolHeatError()" );

        static ConvergenceCounter cctr=conv.register_("TEMP_CHANGES");
        ++cctr;
        TempChange( temp, false );

        /* converge the ionization and electron density; 
         * this calls ionize until lgIonDone is true */
        /* NB should NOT set insanity - but rather return error condition */
        if( ConvEdenIoniz() )
                lgAbort = true;

        /* >>chng 01 mar 16, evaluate pressure here since changing and other values needed */
        /* reevaluate pressure */
        /* this sets values of pressure.PresTotlCurr */
        PresTotCurrent();

        /* keep track of temperature solver in this zone
         * conv.hist_temp_nzone is reset in ConvInitSolution */
        if( nzone != conv.hist_temp_nzone )
        {
                /* first time in this zone - reset history */
                conv.hist_temp_nzone = nzone;
                conv.hist_temp_temp.clear();
                conv.hist_temp_heat.clear();
                conv.hist_temp_cool.clear();
        }

        conv.hist_temp_temp.push_back( phycon.te );
        conv.hist_temp_heat.push_back( thermal.htot );
        conv.hist_temp_cool.push_back( thermal.ctot );

        // dump major contributors to heating and cooling - for debugging purposes
        if( false )
        {
                DumpCoolStack( conv.HeatCoolRelErrorAllowed/5.*thermal.ctot );
                DumpHeatStack( conv.HeatCoolRelErrorAllowed/5.*thermal.htot );
        }

        if( trace.nTrConvg >= 2 )
        {
#if 0
                species *spCO = findspecies("CO")->local()->dbase;
                
                fprintf( ioQQQ, "DEBUGGG CO %ld %ld\n",nzone, 
                                        spCO ? spCO->numLevels_local : -1);
#endif

                fprintf( ioQQQ, "  CoolHeatError: Te: %.4e C: %.4e H: %.4e (C-H)/H: %.4e\n",
                         temp, thermal.ctot, thermal.htot, thermal.ctot/thermal.htot-1. );
        }

        double error = thermal.ctot - thermal.htot;

        // this can get set if temperature drops below floor temperature -> fake convergence
        if( thermal.lgTemperatureConstant )
                error = 0.;

        return error;
}

STATIC void DumpCoolStack(double thres)
{
        multimap<double,string> output;
        char line[200];

        for( int i=0; i < thermal.ncltot; ++i )
        {
                double fraction;
                if( abs(thermal.heatnt[i]) > thres )
                {
                        fraction = thermal.heatnt[i]/thermal.ctot;
                        sprintf( line, "heat %s %e: %e %e\n",
                                 thermal.chClntLab[i], thermal.collam[i], thermal.heatnt[i], fraction );
                        output.insert( pair<const double,string>( fraction, string(line) ) );
                }
                if( abs(thermal.cooling[i]) > thres )
                {
                        fraction = thermal.cooling[i]/thermal.ctot;
                        sprintf( line, "cool %s %e: %e %e\n",
                                 thermal.chClntLab[i], thermal.collam[i], thermal.cooling[i], fraction );
                        output.insert( pair<const double,string>( fraction, string(line) ) );
                }
        }

        dprintf( ioQQQ, " >>>>>>> STARTING COOLING DUMP <<<<<<\n" );
        dprintf( ioQQQ, "total cooling %e\n", thermal.ctot );
        // this will produce sorted output in reverse order (largest contributor first)
        for( multimap<double,string>::reverse_iterator i=output.rbegin(); i != output.rend(); ++i )
                dprintf( ioQQQ, "%s", i->second.c_str() );
        dprintf( ioQQQ, " >>>>>>> FINISHED COOLING DUMP <<<<<<\n" );
}

STATIC void DumpHeatStack(double thres)
{
        multimap<double,string> output;
        char line[200];

        for( int nelem=0; nelem < LIMELM; ++nelem )
        {
                for( int i=0; i < LIMELM; ++i )
                {
                        double fraction = thermal.heating(nelem,i)/thermal.htot;
                        if( abs(thermal.heating(nelem,i)) > thres )
                        {
                                sprintf( line, "heating(%i,%i): %e %e\n",
                                         nelem, i, thermal.heating(nelem,i), fraction );
                                output.insert( pair<const double,string>( fraction, string(line) ) );
                        }
                }
        }

        dprintf( ioQQQ, " >>>>>>> STARTING HEATING DUMP <<<<<<\n" );
        dprintf( ioQQQ, "total heating %e\n", thermal.htot );
        // this will produce sorted output in reverse order (largest contributor first)
        for( multimap<double,string>::reverse_iterator i=output.rbegin(); i != output.rend(); ++i )
                dprintf( ioQQQ, "%s", i->second.c_str() );
        dprintf( ioQQQ, " >>>>>>> FINISHED HEATING DUMP <<<<<<\n" );
}