equilibrium constants for reactions with fractional stoichiometric coefficients. The member data m_dn[] was being calculated incorrectly for theses cases and then used in the calculation of the equilibrium constant. m_dn[] now correctly evaluates the difference in rxn order between the reactants and products for fraction coefficient reactions.
532 lines
16 KiB
C++
532 lines
16 KiB
C++
/**
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* @file EdgeKinetics.cpp
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*
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*/
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// Copyright 2002 California Institute of Technology
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// turn off warnings under Windows
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#ifdef WIN32
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#pragma warning(disable:4786)
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#pragma warning(disable:4503)
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#endif
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#include "EdgeKinetics.h"
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#include "SurfPhase.h"
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#include "ReactionData.h"
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//#include "StoichManager.h"
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#include "RateCoeffMgr.h"
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#include <iostream>
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using namespace std;
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namespace Cantera {
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//////////////////////////////////////////////////////////////////
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/**
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* Construct an empty EdgeKinetics reaction mechanism.
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*/
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EdgeKinetics::
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EdgeKinetics() :
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Kinetics(),
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m_kk(0),
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m_redo_rates(false),
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m_nirrev(0),
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m_nrev(0),
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m_finalized(false),
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m_has_electrochem_rxns(false)
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{
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m_kdata = new EdgeKineticsData;
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m_kdata->m_temp = 0.0;
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}
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/**
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* Destructor
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*/
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EdgeKinetics::
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~EdgeKinetics(){
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delete m_kdata;
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}
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/**
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* Update properties that depend on temperature
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*
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*/
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void EdgeKinetics::
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_update_rates_T() {
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_update_rates_phi();
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doublereal T = thermo(surfacePhaseIndex()).temperature();
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if (T != m_kdata->m_temp || m_redo_rates) {
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m_kdata->m_logtemp = log(T);
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m_rates.update(T, m_kdata->m_logtemp, DATA_PTR(m_kdata->m_rfn));
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if (m_has_electrochem_rxns)
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applyButlerVolmerCorrection(DATA_PTR(m_kdata->m_rfn));
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m_kdata->m_temp = T;
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updateKc();
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m_kdata->m_ROP_ok = false;
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m_redo_rates = false;
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}
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}
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void EdgeKinetics::
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_update_rates_phi() {
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int np = nPhases();
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for (int n = 0; n < np; n++) {
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if (thermo(n).electricPotential() != m_phi[n]) {
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m_phi[n] = thermo(n).electricPotential();
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m_redo_rates = true;
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}
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}
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}
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/**
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* Update properties that depend on concentrations. This method
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* fills out the array of generalized concentrations by calling
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* method getActivityConcentrations for each phase, which classes
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* representing phases should overload to return the appropriate
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* quantities.
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*/
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void EdgeKinetics::
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_update_rates_C() {
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int n;
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//m_rates.update(m_kdata->m_temp,
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// m_kdata->m_logtemp, m_kdata->m_rfn.begin());
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int np = nPhases();
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for (n = 0; n < np; n++) {
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thermo(n).getActivityConcentrations(DATA_PTR(m_conc) + m_start[n]);
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}
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m_kdata->m_ROP_ok = false;
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}
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/**
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* Update the equilibrium constants in molar units for all
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* reversible reactions. Irreversible reactions have their
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* equilibrium constant set to zero.
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*/
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void EdgeKinetics::updateKc() {
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int i, irxn;
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vector_fp& m_rkc = m_kdata->m_rkcn;
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fill(m_rkc.begin(), m_rkc.end(), 0.0);
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if (m_nrev > 0) {
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int n, nsp, k, ik=0;
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doublereal rt = GasConstant*thermo(0).temperature();
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doublereal rrt = 1.0/rt;
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int np = nPhases();
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for (n = 0; n < np; n++) {
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thermo(n).getStandardChemPotentials(DATA_PTR(m_mu0) + m_start[n]);
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nsp = thermo(n).nSpecies();
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for (k = 0; k < nsp; k++) {
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m_mu0[ik] -= rt*thermo(n).logStandardConc(k);
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m_mu0[ik] += Faraday * m_phi[n] * thermo(n).charge(k);
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ik++;
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}
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}
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// compute Delta mu^0 for all reversible reactions
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m_reactantStoich.decrementReactions(DATA_PTR(m_mu0),
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DATA_PTR(m_rkc));
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m_revProductStoich.incrementReactions(DATA_PTR(m_mu0),
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DATA_PTR(m_rkc));
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for (i = 0; i < m_nrev; i++) {
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irxn = m_revindex[i];
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m_rkc[irxn] = exp(m_rkc[irxn]*rrt);
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}
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for (i = 0; i != m_nirrev; ++i) {
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m_rkc[ m_irrev[i] ] = 0.0;
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}
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}
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}
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void EdgeKinetics::checkPartialEquil() {
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int i, irxn;
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vector_fp dmu(nTotalSpecies(), 0.0);
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vector_fp rmu(nReactions(), 0.0);
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if (m_nrev > 0) {
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int n, nsp, k, ik=0;
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doublereal rt = GasConstant*thermo(0).temperature();
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doublereal rrt = 1.0/rt;
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int np = nPhases();
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for (n = 0; n < np; n++) {
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thermo(n).getChemPotentials(DATA_PTR(dmu) + m_start[n]);
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nsp = thermo(n).nSpecies();
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for (k = 0; k < nsp; k++) {
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dmu[ik] += Faraday * m_phi[n] * thermo(n).charge(k);
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cout << thermo(n).speciesName(k) << " " << dmu[ik] << endl;
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ik++;
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}
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}
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// compute Delta mu^ for all reversible reactions
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m_reactantStoich.decrementReactions(DATA_PTR(dmu), DATA_PTR(rmu));
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m_revProductStoich.incrementReactions(DATA_PTR(dmu), DATA_PTR(rmu));
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for (i = 0; i < m_nrev; i++) {
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irxn = m_revindex[i];
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cout << "Reaction " << irxn << " " << exp(rmu[irxn]*rrt) << endl;
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}
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}
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}
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/**
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* Get the equilibrium constants of all reactions, whether
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* reversible or not.
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*/
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void EdgeKinetics::getEquilibriumConstants(doublereal* kc) {
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int i;
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int n, nsp, k, ik=0;
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doublereal rt = GasConstant*thermo(0).temperature();
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doublereal rrt = 1.0/rt;
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int np = nPhases();
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for (n = 0; n < np; n++) {
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thermo(n).getStandardChemPotentials(DATA_PTR(m_mu0) + m_start[n]);
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nsp = thermo(n).nSpecies();
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for (k = 0; k < nsp; k++) {
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m_mu0[ik] -= rt*thermo(n).logStandardConc(k);
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m_mu0[ik] += Faraday * m_phi[n] * thermo(n).charge(k);
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ik++;
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}
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}
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fill(kc, kc + m_ii, 0.0);
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m_reactantStoich.decrementReactions(DATA_PTR(m_mu0), kc);
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m_revProductStoich.incrementReactions(DATA_PTR(m_mu0), kc);
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m_irrevProductStoich.incrementReactions(DATA_PTR(m_mu0), kc);
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for (i = 0; i < m_ii; i++) {
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kc[i] = exp(-kc[i]*rrt);
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}
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}
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/**
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* For reactions that transfer charge across a potential difference,
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* the activation energies are modified by the potential difference.
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* (see, for example, Baird and Falkner, "Electrochemical Methods").
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* This method applies this correction.
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*/
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void EdgeKinetics::applyButlerVolmerCorrection(doublereal* kf) {
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int i;
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int n, nsp, k, ik=0;
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doublereal rt = GasConstant*thermo(0).temperature();
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doublereal rrt = 1.0/rt;
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int np = nPhases();
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// compute the electrical potential energy of each species
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for (n = 0; n < np; n++) {
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nsp = thermo(n).nSpecies();
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for (k = 0; k < nsp; k++) {
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m_pot[ik] = Faraday*thermo(n).charge(k)*m_phi[n];
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ik++;
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}
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}
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// compute the change in electrical potential energy for each
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// reaction. This will only be non-zero if a potential
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// difference is present.
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fill(DATA_PTR(m_rwork), DATA_PTR(m_rwork) + m_ii, 0.0);
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m_reactantStoich.decrementReactions(DATA_PTR(m_pot), DATA_PTR(m_rwork));
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m_revProductStoich.incrementReactions(DATA_PTR(m_pot), DATA_PTR(m_rwork));
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m_irrevProductStoich.incrementReactions(DATA_PTR(m_pot), DATA_PTR(m_rwork));
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// modify the reaction rates. Only modify those with a
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// non-zero activation energy, and do not decrease the
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// activation energy below zero.
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doublereal ea, eamod;
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int nct = m_beta.size();
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int irxn;
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for (i = 0; i < nct; i++) {
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irxn = m_ctrxn[i];
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eamod = m_beta[i]*m_rwork[irxn];
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//cout << "i, beta = " << i << " " << m_beta[i] << endl;
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if (eamod != 0.0 && m_E[i] != 0.0) {
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ea = GasConstant * m_E[i];
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if (eamod + ea < 0.0) {
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writelog("Warning: act energy mod too large");
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eamod = -ea;
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}
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kf[irxn] *= exp(-eamod*rrt);
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}
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}
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}
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/**
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* Update the rates of progress of the reactions in the reaciton
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* mechanism. This routine operates on internal data.
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*/
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void EdgeKinetics::updateROP() {
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_update_rates_T();
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_update_rates_C();
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if (m_kdata->m_ROP_ok) return;
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const vector_fp& rf = m_kdata->m_rfn;
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const vector_fp& m_rkc = m_kdata->m_rkcn;
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array_fp& ropf = m_kdata->m_ropf;
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array_fp& ropr = m_kdata->m_ropr;
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array_fp& ropnet = m_kdata->m_ropnet;
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// copy rate coefficients into ropf
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copy(rf.begin(), rf.end(), ropf.begin());
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// multiply by perturbation factor
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multiply_each(ropf.begin(), ropf.end(), m_perturb.begin());
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// copy the forward rates to the reverse rates
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copy(ropf.begin(), ropf.end(), ropr.begin());
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// for reverse rates computed from thermochemistry, multiply
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// the forward rates copied into m_ropr by the reciprocals of
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// the equilibrium constants
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multiply_each(ropr.begin(), ropr.end(), m_rkc.begin());
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// multiply ropf by concentration products
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m_reactantStoich.multiply(DATA_PTR(m_conc), DATA_PTR(ropf));
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// for reversible reactions, multiply ropr by concentration
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// products
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m_revProductStoich.multiply(DATA_PTR(m_conc), DATA_PTR(ropr));
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// do global reactions
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//m_globalReactantStoich.power(DATA_PTR(m_conc), ropf.begin());
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for (int j = 0; j != m_ii; ++j) {
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ropnet[j] = ropf[j] - ropr[j];
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}
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m_kdata->m_ROP_ok = true;
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}
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/**
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* Add a single reaction to the mechanism. This routine
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* must be called after init() and before finalize().
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* This function branches on the types of reactions allowed
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* by the interfaceKinetics manager in order to install
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* the reaction correctly in the manager.
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* The manager allows the following reaction types
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* Elementary
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* Surface
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* Global
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* There is no difference between elementary and surface
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* reactions.
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*/
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void EdgeKinetics::
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addReaction(const ReactionData& r) {
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int nr = r.reactants.size();
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// a global reaction is idnetified as one with
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// a reactant stoichiometric coefficient not equal
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// to the molecularity for some reactant
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bool isglobal = false;
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for (int n = 0; n < nr; n++) {
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if (r.rstoich[n] != int(r.order[n])) {
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isglobal = true; break;
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}
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}
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if (isglobal)
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addGlobalReaction(r);
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else
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addElementaryReaction(r);
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installReagents( r );
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installGroups(reactionNumber(), r.rgroups, r.pgroups);
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incrementRxnCount();
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m_rxneqn.push_back(r.equation);
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}
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void EdgeKinetics::
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addElementaryReaction(const ReactionData& r) {
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int iloc;
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// install rate coeff calculator
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vector_fp rp = r.rateCoeffParameters;
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// coverage dependence
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int ncov = r.cov.size();
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for (int m = 0; m < ncov; m++) rp.push_back(r.cov[m]);
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iloc = m_rates.install( reactionNumber(), r.rateCoeffType, rp.size(),
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DATA_PTR(rp) );
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// store activation energy
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if (r.beta > 0.0) {
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m_has_electrochem_rxns = true;
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m_E.push_back(r.rateCoeffParameters[2]);
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m_beta.push_back(r.beta);
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m_ctrxn.push_back(reactionNumber());
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}
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// add constant term to rate coeff value vector
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m_kdata->m_rfn.push_back(r.rateCoeffParameters[0]);
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registerReaction( reactionNumber(), ELEMENTARY_RXN, iloc);
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}
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void EdgeKinetics::
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addGlobalReaction(const ReactionData& r) {
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int iloc;
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// install rate coeff calculator
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vector_fp rp = r.rateCoeffParameters;
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int ncov = r.cov.size();
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for (int m = 0; m < ncov; m++) rp.push_back(r.cov[m]);
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iloc = m_rates.install( reactionNumber(),
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r.rateCoeffType, rp.size(),
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DATA_PTR(rp) );
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// add constant term to rate coeff value vector
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m_kdata->m_rfn.push_back(r.rateCoeffParameters[0]);
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int nr = r.order.size();
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vector_fp ordr(nr);
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for (int n = 0; n < nr; n++) {
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ordr[n] = r.order[n] - r.rstoich[n];
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}
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m_globalReactantStoich.add( reactionNumber(),
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r.reactants, ordr);
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registerReaction( reactionNumber(), GLOBAL_RXN, iloc);
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}
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void EdgeKinetics::installReagents(const ReactionData& r) {
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m_kdata->m_ropf.push_back(0.0); // extend by one for new rxn
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m_kdata->m_ropr.push_back(0.0);
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m_kdata->m_ropnet.push_back(0.0);
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int n, ns, m;
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doublereal nsFlt;
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int rnum = reactionNumber();
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vector_int rk;
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int nr = r.reactants.size();
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for (n = 0; n < nr; n++) {
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nsFlt = r.rstoich[n];
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ns = (int) nsFlt;
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if ((doublereal) ns != nsFlt) {
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if (ns < 1) ns = 1;
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}
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m_rrxn[r.reactants[n]][rnum] = ns;
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for (m = 0; m < ns; m++) {
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rk.push_back(r.reactants[n]);
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}
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}
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m_reactants.push_back(rk);
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vector_int pk;
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int np = r.products.size();
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for (n = 0; n < np; n++) {
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nsFlt = r.pstoich[n];
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ns = (int) nsFlt;
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if ((doublereal) ns != nsFlt) {
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if (ns < 1) ns = 1;
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}
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m_prxn[r.products[n]][rnum] = ns;
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for (m = 0; m < ns; m++) {
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pk.push_back(r.products[n]);
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}
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}
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m_products.push_back(pk);
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m_kdata->m_rkcn.push_back(0.0);
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m_reactantStoich.add( reactionNumber(), rk);
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if (r.reversible) {
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m_revProductStoich.add(reactionNumber(), pk);
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//m_dn.push_back(pk.size() - rk.size());
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m_revindex.push_back(reactionNumber());
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m_nrev++;
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}
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else {
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m_irrevProductStoich.add(reactionNumber(), pk);
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//m_dn.push_back(pk.size() - rk.size());
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m_irrev.push_back( reactionNumber() );
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m_nirrev++;
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}
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}
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void EdgeKinetics::installGroups(int irxn,
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const vector<grouplist_t>& r, const vector<grouplist_t>& p) {
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if (!r.empty()) {
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m_rgroups[reactionNumber()] = r;
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m_pgroups[reactionNumber()] = p;
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}
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}
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/**
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* Prepare the class for the addition of reactions. This function
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* must be called after instantiation of the class, but before
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* any reactions are actually added to the mechanism.
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* This function calculates m_kk the number of species in all
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* phases participating in the reaction mechanism. We don't know
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* m_kk previously, before all phases have been added.
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*/
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void EdgeKinetics::init() {
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int n;
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m_kk = 0;
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int np = nPhases();
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for (n = 0; n < np; n++) {
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m_kk += thermo(n).nSpecies();
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}
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m_rrxn.resize(m_kk);
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m_prxn.resize(m_kk);
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m_conc.resize(m_kk);
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m_mu0.resize(m_kk);
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m_pot.resize(m_kk, 0.0);
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m_phi.resize(np, 0.0);
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}
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/**
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* Finish adding reactions and prepare for use. This function
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* must be called after all reactions are entered into the mechanism
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* and before the mechanism is used to calculate reaction rates.
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*
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* Here, we resize work arrays based on the number of reactions,
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* since we don't know this number up to now.
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*/
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void EdgeKinetics::finalize() {
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m_rwork.resize(nReactions());
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m_finalized = true;
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}
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bool EdgeKinetics::ready() const {
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return (m_finalized);
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}
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}
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