/** * @file MultiPhase.cpp * Definitions for the \link Cantera::MultiPhase MultiPhase\endlink * object that is used to set up multiphase equilibrium problems (see \ref equilfunctions). */ #include "cantera/equil/ChemEquil.h" #include "cantera/equil/MultiPhase.h" #include "cantera/equil/MultiPhaseEquil.h" #include "cantera/equil/vcs_MultiPhaseEquil.h" #include "cantera/base/stringUtils.h" using namespace std; namespace Cantera { MultiPhase::MultiPhase() : m_np(0), m_temp(298.15), m_press(OneBar), m_nel(0), m_nsp(0), m_init(false), m_eloc(npos), m_Tmin(1.0), m_Tmax(100000.0) { } MultiPhase::MultiPhase(const MultiPhase& right) : m_np(0), m_temp(298.15), m_press(OneBar), m_nel(0), m_nsp(0), m_init(false), m_eloc(npos), m_Tmin(1.0), m_Tmax(100000.0) { operator=(right); } MultiPhase::~MultiPhase() { } MultiPhase& MultiPhase::operator=(const MultiPhase& right) { if (&right != this) { m_moles = right.m_moles; // shallow copy of phase pointers m_phase = right.m_phase; m_atoms = right.m_atoms; m_moleFractions = right.m_moleFractions; m_spphase = right.m_spphase; m_spstart = right.m_spstart; m_enames = right.m_enames; m_enamemap = right.m_enamemap; m_np = right.m_np; m_temp = right.m_temp; m_press = right.m_press; m_nel = right.m_nel; m_nsp = right.m_nsp; m_init = right.m_init; m_eloc = right.m_eloc; m_temp_OK = right.m_temp_OK; m_Tmin = right.m_Tmin; m_Tmax = right.m_Tmax; m_elemAbundances = right.m_elemAbundances; } return *this; } void MultiPhase::addPhases(MultiPhase& mix) { size_t n; for (n = 0; n < mix.m_np; n++) { addPhase(mix.m_phase[n], mix.m_moles[n]); } } void MultiPhase::addPhases(std::vector& phases, const vector_fp& phaseMoles) { size_t np = phases.size(); size_t n; for (n = 0; n < np; n++) { addPhase(phases[n], phaseMoles[n]); } init(); } void MultiPhase::addPhase(ThermoPhase* p, doublereal moles) { if (m_init) { throw CanteraError("addPhase", "phases cannot be added after init() has been called."); } // save the pointer to the phase object m_phase.push_back(p); // store its number of moles m_moles.push_back(moles); m_temp_OK.push_back(true); // update the number of phases and the total number of // species m_np = m_phase.size(); m_nsp += p->nSpecies(); // determine if this phase has new elements // for each new element, add an entry in the map // from names to index number + 1: string ename; // iterate over the elements in this phase size_t m, nel = p->nElements(); for (m = 0; m < nel; m++) { ename = p->elementName(m); // if no entry is found for this element name, then // it is a new element. In this case, add the name // to the list of names, increment the element count, // and add an entry to the name->(index+1) map. if (m_enamemap.find(ename) == m_enamemap.end()) { m_enamemap[ename] = m_nel + 1; m_enames.push_back(ename); m_atomicNumber.push_back(p->atomicNumber(m)); // Element 'E' (or 'e') is special. Note its location. if (ename == "E" || ename == "e") { m_eloc = m_nel; } m_nel++; } } // If the mixture temperature hasn't been set, then set the // temperature and pressure to the values for the phase being // added. There is no good way to do this. However, this will be overridden later. if (m_temp == 298.15 && p->temperature() > 2.0E-3) { m_temp = p->temperature(); m_press = p->pressure(); } // If this is a solution phase, update the minimum and maximum // mixture temperatures. Stoichiometric phases are excluded, // since a mixture may define multiple stoichiometric phases, // each of which has thermo data valid only over a limited // range. For example, a mixture might be defined to contain a // phase representing water ice and one representing liquid // water, only one of which should be present if the mixture // represents an equilibrium state. if (p->nSpecies() > 1) { m_Tmin = std::max(p->minTemp(), m_Tmin); m_Tmax = std::min(p->maxTemp(), m_Tmax); } } void MultiPhase::init() { if (m_init) { return; } size_t ip, kp, k = 0, nsp, m; size_t mlocal; string sym; // allocate space for the atomic composition matrix m_atoms.resize(m_nel, m_nsp, 0.0); m_moleFractions.resize(m_nsp, 0.0); m_elemAbundances.resize(m_nel, 0.0); // iterate over the elements // -> fill in m_atoms(m,k), m_snames(k), m_spphase(k), // m_sptart(ip) for (m = 0; m < m_nel; m++) { sym = m_enames[m]; k = 0; // iterate over the phases for (ip = 0; ip < m_np; ip++) { ThermoPhase* p = m_phase[ip]; nsp = p->nSpecies(); mlocal = p->elementIndex(sym); for (kp = 0; kp < nsp; kp++) { if (mlocal != npos) { m_atoms(m, k) = p->nAtoms(kp, mlocal); } if (m == 0) { m_snames.push_back(p->speciesName(kp)); if (kp == 0) { m_spstart.push_back(m_spphase.size()); } m_spphase.push_back(ip); } k++; } } } if (m_eloc != npos) { doublereal esum; for (k = 0; k < m_nsp; k++) { esum = 0.0; for (m = 0; m < m_nel; m++) { if (m != m_eloc) { esum += m_atoms(m,k) * m_atomicNumber[m]; } } } } /// set the initial composition within each phase to the /// mole fractions stored in the phase objects m_init = true; uploadMoleFractionsFromPhases(); updatePhases(); } ThermoPhase& MultiPhase::phase(size_t n) { if (!m_init) { init(); } m_phase[n]->setTemperature(m_temp); m_phase[n]->setMoleFractions_NoNorm(DATA_PTR(m_moleFractions) + m_spstart[n]); m_phase[n]->setPressure(m_press); return *m_phase[n]; } void MultiPhase::checkPhaseIndex(size_t m) const { if (m >= nPhases()) { throw IndexError("checkPhaseIndex", "phase", m, nPhases()-1); } } void MultiPhase::checkPhaseArraySize(size_t mm) const { if (nPhases() > mm) { throw ArraySizeError("checkPhaseIndex", mm, nPhases()); } } doublereal MultiPhase::speciesMoles(size_t k) const { size_t ip = m_spphase[k]; return m_moles[ip]*m_moleFractions[k]; } doublereal MultiPhase::elementMoles(size_t m) const { doublereal sum = 0.0, phasesum; size_t i, k = 0, ik, nsp; for (i = 0; i < m_np; i++) { phasesum = 0.0; nsp = m_phase[i]->nSpecies(); for (ik = 0; ik < nsp; ik++) { k = speciesIndex(ik, i); phasesum += m_atoms(m,k)*m_moleFractions[k]; } sum += phasesum * m_moles[i]; } return sum; } doublereal MultiPhase::charge() const { doublereal sum = 0.0; size_t i; for (i = 0; i < m_np; i++) { sum += phaseCharge(i); } return sum; } size_t MultiPhase::speciesIndex(const std::string& speciesName, const std::string& phaseName) { if (!m_init) { init(); } size_t p = phaseIndex(phaseName); if (p == npos) { throw CanteraError("MultiPhase::speciesIndex", "phase not found: " + phaseName); } size_t k = m_phase[p]->speciesIndex(speciesName); if (k == npos) { throw CanteraError("MultiPhase::speciesIndex", "species not found: " + speciesName); } return m_spstart[p] + k; } doublereal MultiPhase::phaseCharge(size_t p) const { doublereal phasesum = 0.0; size_t ik, k, nsp = m_phase[p]->nSpecies(); for (ik = 0; ik < nsp; ik++) { k = speciesIndex(ik, p); phasesum += m_phase[p]->charge(ik)*m_moleFractions[k]; } return Faraday*phasesum*m_moles[p]; } void MultiPhase::getChemPotentials(doublereal* mu) const { size_t i, loc = 0; updatePhases(); for (i = 0; i < m_np; i++) { m_phase[i]->getChemPotentials(mu + loc); loc += m_phase[i]->nSpecies(); } } void MultiPhase::getValidChemPotentials(doublereal not_mu, doublereal* mu, bool standard) const { size_t i, loc = 0; updatePhases(); // iterate over the phases for (i = 0; i < m_np; i++) { if (tempOK(i) || m_phase[i]->nSpecies() > 1) { if (!standard) { m_phase[i]->getChemPotentials(mu + loc); } else { m_phase[i]->getStandardChemPotentials(mu + loc); } } else { fill(mu + loc, mu + loc + m_phase[i]->nSpecies(), not_mu); } loc += m_phase[i]->nSpecies(); } } bool MultiPhase::solutionSpecies(size_t k) const { if (m_phase[m_spphase[k]]->nSpecies() > 1) { return true; } else { return false; } } doublereal MultiPhase::gibbs() const { size_t i; doublereal sum = 0.0; updatePhases(); for (i = 0; i < m_np; i++) { if (m_moles[i] > 0.0) { sum += m_phase[i]->gibbs_mole() * m_moles[i]; } } return sum; } doublereal MultiPhase::enthalpy() const { size_t i; doublereal sum = 0.0; updatePhases(); for (i = 0; i < m_np; i++) { if (m_moles[i] > 0.0) { sum += m_phase[i]->enthalpy_mole() * m_moles[i]; } } return sum; } doublereal MultiPhase::IntEnergy() const { size_t i; doublereal sum = 0.0; updatePhases(); for (i = 0; i < m_np; i++) { if (m_moles[i] > 0.0) { sum += m_phase[i]->intEnergy_mole() * m_moles[i]; } } return sum; } doublereal MultiPhase::entropy() const { size_t i; doublereal sum = 0.0; updatePhases(); for (i = 0; i < m_np; i++) { if (m_moles[i] > 0.0) { sum += m_phase[i]->entropy_mole() * m_moles[i]; } } return sum; } doublereal MultiPhase::cp() const { size_t i; doublereal sum = 0.0; updatePhases(); for (i = 0; i < m_np; i++) { if (m_moles[i] > 0.0) { sum += m_phase[i]->cp_mole() * m_moles[i]; } } return sum; } void MultiPhase::setPhaseMoleFractions(const size_t n, const doublereal* const x) { if (!m_init) { init(); } ThermoPhase* p = m_phase[n]; p->setState_TPX(m_temp, m_press, x); size_t istart = m_spstart[n]; for (size_t k = 0; k < p->nSpecies(); k++) { m_moleFractions[istart+k] = x[k]; } } void MultiPhase::setMolesByName(const compositionMap& xMap) { size_t kk = nSpecies(); vector_fp moles(kk, 0.0); for (size_t k = 0; k < kk; k++) { moles[k] = std::max(getValue(xMap, speciesName(k), 0.0), 0.0); } setMoles(DATA_PTR(moles)); } void MultiPhase::setMolesByName(const std::string& x) { // build the composition map from the string, and then set the moles. compositionMap xx = parseCompString(x, m_snames); setMolesByName(xx); } void MultiPhase::getMoles(doublereal* molNum) const { /* * First copy in the mole fractions */ copy(m_moleFractions.begin(), m_moleFractions.end(), molNum); size_t ik; doublereal* dtmp = molNum; for (size_t ip = 0; ip < m_np; ip++) { doublereal phasemoles = m_moles[ip]; ThermoPhase* p = m_phase[ip]; size_t nsp = p->nSpecies(); for (ik = 0; ik < nsp; ik++) { *(dtmp++) *= phasemoles; } } } void MultiPhase::setMoles(const doublereal* n) { if (!m_init) { init(); } size_t ip, loc = 0; size_t ik, k = 0, nsp; doublereal phasemoles; for (ip = 0; ip < m_np; ip++) { ThermoPhase* p = m_phase[ip]; nsp = p->nSpecies(); phasemoles = 0.0; for (ik = 0; ik < nsp; ik++) { phasemoles += n[k]; k++; } m_moles[ip] = phasemoles; if (nsp > 1) { if (phasemoles > 0.0) { p->setState_TPX(m_temp, m_press, n + loc); p->getMoleFractions(DATA_PTR(m_moleFractions) + loc); } else { p->getMoleFractions(DATA_PTR(m_moleFractions) + loc); } } else { m_moleFractions[loc] = 1.0; } loc += nsp; } } void MultiPhase::addSpeciesMoles(const int indexS, const doublereal addedMoles) { vector_fp tmpMoles(m_nsp, 0.0); getMoles(DATA_PTR(tmpMoles)); tmpMoles[indexS] += addedMoles; tmpMoles[indexS] = std::max(tmpMoles[indexS], 0.0); setMoles(DATA_PTR(tmpMoles)); } void MultiPhase::setState_TP(const doublereal T, const doublereal Pres) { if (!m_init) { init(); } m_temp = T; m_press = Pres; updatePhases(); } void MultiPhase::setState_TPMoles(const doublereal T, const doublereal Pres, const doublereal* n) { m_temp = T; m_press = Pres; setMoles(n); } void MultiPhase::getElemAbundances(doublereal* elemAbundances) const { size_t eGlobal; calcElemAbundances(); for (eGlobal = 0; eGlobal < m_nel; eGlobal++) { elemAbundances[eGlobal] = m_elemAbundances[eGlobal]; } } void MultiPhase::calcElemAbundances() const { size_t loc = 0; size_t eGlobal; size_t ik, kGlobal; doublereal spMoles; for (eGlobal = 0; eGlobal < m_nel; eGlobal++) { m_elemAbundances[eGlobal] = 0.0; } for (size_t ip = 0; ip < m_np; ip++) { ThermoPhase* p = m_phase[ip]; size_t nspPhase = p->nSpecies(); doublereal phasemoles = m_moles[ip]; for (ik = 0; ik < nspPhase; ik++) { kGlobal = loc + ik; spMoles = m_moleFractions[kGlobal] * phasemoles; for (eGlobal = 0; eGlobal < m_nel; eGlobal++) { m_elemAbundances[eGlobal] += m_atoms(eGlobal, kGlobal) * spMoles; } } loc += nspPhase; } } doublereal MultiPhase::volume() const { int i; doublereal sum = 0; for (i = 0; i < int(m_np); i++) { double vol = 1.0/m_phase[i]->molarDensity(); sum += m_moles[i] * vol; } return sum; } doublereal MultiPhase::equilibrate(int XY, doublereal err, int maxsteps, int maxiter, int loglevel) { bool strt = false; doublereal dt; doublereal h0; int n; doublereal hnow, herr = 1.0; doublereal snow, s0; doublereal Tlow = -1.0, Thigh = -1.0; doublereal Hlow = Undef, Hhigh = Undef, tnew; doublereal dta=0.0, dtmax, cpb; if (!m_init) { init(); } if (XY == TP) { // create an equilibrium manager MultiPhaseEquil e(this); try { e.equilibrate(XY, err, maxsteps, loglevel); } catch (CanteraError& err) { err.save(); throw err; } return err; } else if (XY == HP) { h0 = enthalpy(); Tlow = 0.5*m_Tmin; // lower bound on T Thigh = 2.0*m_Tmax; // upper bound on T for (n = 0; n < maxiter; n++) { // if 'strt' is false, the current composition will be used as // the starting estimate; otherwise it will be estimated MultiPhaseEquil e(this, strt); // start with a loose error tolerance, but tighten it as we get // close to the final temperature try { e.equilibrate(TP, err, maxsteps, loglevel); hnow = enthalpy(); // the equilibrium enthalpy monotonically increases with T; // if the current value is below the target, the we know the // current temperature is too low. Set if (hnow < h0) { if (m_temp > Tlow) { Tlow = m_temp; Hlow = hnow; } } // the current enthalpy is greater than the target; therefore the // current temperature is too high. else { if (m_temp < Thigh) { Thigh = m_temp; Hhigh = hnow; } } if (Hlow != Undef && Hhigh != Undef) { cpb = (Hhigh - Hlow)/(Thigh - Tlow); dt = (h0 - hnow)/cpb; dta = fabs(dt); dtmax = 0.5*fabs(Thigh - Tlow); if (dta > dtmax) { dt *= dtmax/dta; } } else { tnew = sqrt(Tlow*Thigh); dt = tnew - m_temp; } herr = fabs((h0 - hnow)/h0); if (herr < err) { return err; } tnew = m_temp + dt; if (tnew < 0.0) { tnew = 0.5*m_temp; } setTemperature(tnew); // if the size of Delta T is not too large, use // the current composition as the starting estimate if (dta < 100.0) { strt = false; } } catch (CanteraError& err) { err.save(); if (!strt) { strt = true; } else { tnew = 0.5*(m_temp + Thigh); if (fabs(tnew - m_temp) < 1.0) { tnew = m_temp + 1.0; } setTemperature(tnew); } } } throw CanteraError("MultiPhase::equilibrate", "No convergence for T"); } else if (XY == SP) { s0 = entropy(); Tlow = 1.0; // lower bound on T Thigh = 1.0e6; // upper bound on T for (n = 0; n < maxiter; n++) { MultiPhaseEquil e(this, strt); try { e.equilibrate(TP, err, maxsteps, loglevel); snow = entropy(); if (snow < s0) { Tlow = std::max(Tlow, m_temp); } else { Thigh = std::min(Thigh, m_temp); } dt = (s0 - snow)*m_temp/cp(); dtmax = 0.5*fabs(Thigh - Tlow); dtmax = (dtmax > 500.0 ? 500.0 : dtmax); dta = fabs(dt); if (dta > dtmax) { dt *= dtmax/dta; } if (herr < err || dta < 1.0e-4) { return err; } tnew = m_temp + dt; setTemperature(tnew); // if the size of Delta T is not too large, use // the current composition as the starting estimate if (dta < 100.0) { strt = false; } } catch (CanteraError& err) { err.save(); if (!strt) { strt = true; } else { tnew = 0.5*(m_temp + Thigh); setTemperature(tnew); } } } throw CanteraError("MultiPhase::equilibrate", "No convergence for T"); } else if (XY == TV) { doublereal v0 = volume(); doublereal dVdP; int n; bool start = true; doublereal vnow, pnow, verr; for (n = 0; n < maxiter; n++) { pnow = pressure(); MultiPhaseEquil e(this, start); start = false; e.equilibrate(TP, err, maxsteps, loglevel); vnow = volume(); verr = fabs((v0 - vnow)/v0); if (verr < err) { return err; } // find dV/dP setPressure(pnow*1.01); dVdP = (volume() - vnow)/(0.01*pnow); setPressure(pnow + 0.5*(v0 - vnow)/dVdP); } } else { throw CanteraError("MultiPhase::equilibrate","unknown option"); } return -1.0; } void MultiPhase::equilibrate(const std::string& XY, const std::string& solver, double rtol, int max_steps, int max_iter, int estimate_equil, int log_level) { // Save the initial state so that it can be restored in case one of the // solvers fails vector_fp initial_moleFractions = m_moleFractions; vector_fp initial_moles = m_moles; double initial_T = m_temp; double initial_P = m_press; int ixy = _equilflag(XY.c_str()); if (solver == "auto" || solver == "vcs") { try { writelog("Trying VCS equilibrium solver\n", log_level); VCSnonideal::vcs_MultiPhaseEquil eqsolve(this, log_level-1); int ret = eqsolve.equilibrate(ixy, estimate_equil, log_level-1, rtol, max_steps); if (ret) { throw CanteraError("MultiPhase::equilibrate", "VCS solver failed. Return code: " + int2str(ret)); } writelog("VCS solver succeeded\n", log_level); return; } catch (std::exception& err) { writelog("VCS solver failed.\n", log_level); writelog(err.what(), log_level); m_moleFractions = initial_moleFractions; m_moles = initial_moles; m_temp = initial_T; m_press = initial_P; updatePhases(); if (solver == "auto") { } else { throw; } } } if (solver == "auto" || solver == "gibbs") { try { writelog("Trying MultiPhaseEquil (Gibbs) equilibrium solver\n", log_level); equilibrate(ixy, rtol, max_steps, max_iter, log_level-1); writelog("MultiPhaseEquil solver succeeded\n", log_level); return; } catch (std::exception& err) { writelog("MultiPhaseEquil solver failed.\n", log_level); writelog(err.what(), log_level); m_moleFractions = initial_moleFractions; m_moles = initial_moles; m_temp = initial_T; m_press = initial_P; updatePhases(); throw; } } if (solver != "auto") { throw CanteraError("MultiPhase::equilibrate", "Invalid solver specified: '" + solver + "'"); } } #ifdef MULTIPHASE_DEVEL void importFromXML(string infile, string id) { XML_Node* root = get_XML_File(infile); if (id == "-") { id = ""; } XML_Node* x = get_XML_Node(string("#")+id, root); if (x.name() != "multiphase") throw CanteraError("MultiPhase::importFromXML", "Current XML_Node is not a multiphase element."); vector phases = x.getChildren("phase"); int np = phases.size(); int n; ThermoPhase* p; for (n = 0; n < np; n++) { XML_Node& ph = *phases[n]; srcfile = infile; if (ph.hasAttrib("src")) { srcfile = ph["src"]; } idstr = ph["id"]; p = newPhase(srcfile, idstr); if (p) { addPhase(p, ph.value()); } } } #endif void MultiPhase::setTemperature(const doublereal T) { if (!m_init) { init(); } m_temp = T; updatePhases(); } void MultiPhase::checkElementIndex(size_t m) const { if (m >= m_nel) { throw IndexError("checkElementIndex", "elements", m, m_nel-1); } } void MultiPhase::checkElementArraySize(size_t mm) const { if (m_nel > mm) { throw ArraySizeError("checkElementArraySize", mm, m_nel); } } std::string MultiPhase::elementName(size_t m) const { return m_enames[m]; } size_t MultiPhase::elementIndex(const std::string& name) const { for (size_t e = 0; e < m_nel; e++) { if (m_enames[e] == name) { return e; } } return npos; } void MultiPhase::checkSpeciesIndex(size_t k) const { if (k >= m_nsp) { throw IndexError("checkSpeciesIndex", "species", k, m_nsp-1); } } void MultiPhase::checkSpeciesArraySize(size_t kk) const { if (m_nsp > kk) { throw ArraySizeError("checkSpeciesArraySize", kk, m_nsp); } } std::string MultiPhase::speciesName(const size_t k) const { return m_snames[k]; } doublereal MultiPhase::nAtoms(const size_t kGlob, const size_t mGlob) const { return m_atoms(mGlob, kGlob); } void MultiPhase::getMoleFractions(doublereal* const x) const { std::copy(m_moleFractions.begin(), m_moleFractions.end(), x); } std::string MultiPhase::phaseName(const size_t iph) const { const ThermoPhase* tptr = m_phase[iph]; return tptr->id(); } int MultiPhase::phaseIndex(const std::string& pName) const { std::string tmp; for (int iph = 0; iph < (int) m_np; iph++) { const ThermoPhase* tptr = m_phase[iph]; tmp = tptr->id(); if (tmp == pName) { return iph; } } return -1; } doublereal MultiPhase::phaseMoles(const size_t n) const { return m_moles[n]; } void MultiPhase::setPhaseMoles(const size_t n, const doublereal moles) { m_moles[n] = moles; } size_t MultiPhase::speciesPhaseIndex(const size_t kGlob) const { return m_spphase[kGlob]; } doublereal MultiPhase::moleFraction(const size_t kGlob) const { return m_moleFractions[kGlob]; } bool MultiPhase::tempOK(const size_t p) const { return m_temp_OK[p]; } void MultiPhase::uploadMoleFractionsFromPhases() { size_t ip, loc = 0; for (ip = 0; ip < m_np; ip++) { ThermoPhase* p = m_phase[ip]; p->getMoleFractions(DATA_PTR(m_moleFractions) + loc); loc += p->nSpecies(); } calcElemAbundances(); } void MultiPhase::updatePhases() const { size_t p, nsp, loc = 0; for (p = 0; p < m_np; p++) { nsp = m_phase[p]->nSpecies(); const doublereal* x = DATA_PTR(m_moleFractions) + loc; loc += nsp; m_phase[p]->setState_TPX(m_temp, m_press, x); m_temp_OK[p] = true; if (m_temp < m_phase[p]->minTemp() || m_temp > m_phase[p]->maxTemp()) { m_temp_OK[p] = false; } } } }