double Reactor::evalSurfaces(double t, double* ydot)
{
const vector_fp& mw = m_thermo->molecularWeights();
fill(m_sdot.begin(), m_sdot.end(), 0.0);
size_t loc = 0; // offset into ydot
double mdot_surf = 0.0; // net mass flux from surface
for (size_t i = 0; i < m_wall.size(); i++) {
Kinetics* kin = m_wall[i]->kinetics(m_lr[i]);
SurfPhase* surf = m_wall[i]->surface(m_lr[i]);
if (surf && kin) {
double rs0 = 1.0/surf->siteDensity();
size_t nk = surf->nSpecies();
double sum = 0.0;
surf->setTemperature(m_state[0]);
m_wall[i]->syncCoverages(m_lr[i]);
kin->getNetProductionRates(&m_work[0]);
size_t ns = kin->surfacePhaseIndex();
size_t surfloc = kin->kineticsSpeciesIndex(0,ns);
for (size_t k = 1; k < nk; k++) {
ydot[loc + k] = m_work[surfloc+k]*rs0*surf->size(k);
sum -= ydot[loc + k];
}
ydot[loc] = sum;
loc += nk;
double wallarea = m_wall[i]->area();
for (size_t k = 0; k < m_nsp; k++) {
m_sdot[k] += m_work[k]*wallarea;
mdot_surf += m_sdot[k] * mw[k];
}
}
}
return mdot_surf;
}
void IdealGasReactor::evalEqs(doublereal time, doublereal* y,
doublereal* ydot, doublereal* params)
{
m_thermo->restoreState(m_state);
// process sensitivity parameters
if (params) {
size_t npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
double mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult*params[n]);
}
size_t ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->setSensitivityParameters(m_lr[m], params + ploc);
ploc += m_nsens_wall[m];
}
}
}
m_vdot = 0.0;
m_Q = 0.0;
double mcvdTdt = 0.0; // m * c_v * dT/dt
double dmdt = 0.0; // dm/dt (gas phase)
double* dYdt = ydot + 3;
m_thermo->getPartialMolarIntEnergies(&m_uk[0]);
// compute wall terms
size_t loc = m_nsp+3;
fill(m_sdot.begin(), m_sdot.end(), 0.0);
for (size_t i = 0; i < m_nwalls; i++) {
int lr = 1 - 2*m_lr[i];
double vdot = lr*m_wall[i]->vdot(time);
m_vdot += vdot;
m_Q += lr*m_wall[i]->Q(time);
Kinetics* kin = m_wall[i]->kinetics(m_lr[i]);
SurfPhase* surf = m_wall[i]->surface(m_lr[i]);
if (surf && kin) {
double rs0 = 1.0/surf->siteDensity();
size_t nk = surf->nSpecies();
double sum = 0.0;
surf->setTemperature(m_state[0]);
m_wall[i]->syncCoverages(m_lr[i]);
kin->getNetProductionRates(DATA_PTR(m_work));
size_t ns = kin->surfacePhaseIndex();
size_t surfloc = kin->kineticsSpeciesIndex(0,ns);
for (size_t k = 1; k < nk; k++) {
ydot[loc + k] = m_work[surfloc+k]*rs0*surf->size(k);
sum -= ydot[loc + k];
}
ydot[loc] = sum;
loc += nk;
double wallarea = m_wall[i]->area();
for (size_t k = 0; k < m_nsp; k++) {
m_sdot[k] += m_work[k]*wallarea;
}
}
}
const vector_fp& mw = m_thermo->molecularWeights();
const doublereal* Y = m_thermo->massFractions();
if (m_chem) {
m_kin->getNetProductionRates(&m_wdot[0]); // "omega dot"
}
double mdot_surf = 0.0; // net mass flux from surfaces
for (size_t k = 0; k < m_nsp; k++) {
// production in gas phase and from surfaces
dYdt[k] = (m_wdot[k] * m_vol + m_sdot[k]) * mw[k] / m_mass;
mdot_surf += m_sdot[k] * mw[k];
}
dmdt += mdot_surf;
// compression work and external heat transfer
mcvdTdt += - m_pressure * m_vdot - m_Q;
for (size_t n = 0; n < m_nsp; n++) {
// heat release from gas phase and surface reations
mcvdTdt -= m_wdot[n] * m_uk[n] * m_vol;
mcvdTdt -= m_sdot[n] * m_uk[n];
// dilution by net surface mass flux
dYdt[n] -= Y[n] * mdot_surf / m_mass;
}
// add terms for open system
if (m_open) {
// outlets
for (size_t i = 0; i < m_nOutlets; i++) {
double mdot_out = m_outlet[i]->massFlowRate(time);
dmdt -= mdot_out; // mass flow out of system
mcvdTdt -= mdot_out * m_pressure * m_vol / m_mass; // flow work
}
// inlets
for (size_t i = 0; i < m_nInlets; i++) {
double mdot_in = m_inlet[i]->massFlowRate(time);
dmdt += mdot_in; // mass flow into system
mcvdTdt += m_inlet[i]->enthalpy_mass() * mdot_in;
for (size_t n = 0; n < m_nsp; n++) {
double mdot_spec = m_inlet[i]->outletSpeciesMassFlowRate(n);
// flow of species into system and dilution by other species
dYdt[n] += (mdot_spec - mdot_in * Y[n]) / m_mass;
// In combintion with h_in*mdot_in, flow work plus thermal
// energy carried with the species
mcvdTdt -= m_uk[n] / mw[n] * mdot_spec;
}
}
}
ydot[0] = dmdt;
ydot[1] = m_vdot;
if (m_energy) {
ydot[2] = mcvdTdt / (m_mass * m_thermo->cv_mass());
} else {
ydot[2] = 0;
}
for (size_t i = 0; i < m_nv; i++) {
AssertFinite(ydot[i], "IdealGasReactor::evalEqs",
"ydot[" + int2str(i) + "] is not finite");
}
// reset sensitivity parameters
if (params) {
size_t npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
double mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult/params[n]);
}
size_t ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->resetSensitivityParameters(m_lr[m]);
ploc += m_nsens_wall[m];
}
}
}
}
/*
* Called by the integrator to evaluate ydot given y at time 'time'.
*/
void Reactor::evalEqs(doublereal time, doublereal* y,
doublereal* ydot, doublereal* params)
{
m_time = time;
m_thermo->restoreState(m_state);
// process sensitivity parameters
if (params) {
size_t npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
double mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult*params[n]);
}
size_t ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->setSensitivityParameters(m_lr[m], params + ploc);
ploc += m_nsens_wall[m];
}
}
}
m_vdot = 0.0;
m_Q = 0.0;
// compute wall terms
size_t loc = m_nsp+2;
fill(m_sdot.begin(), m_sdot.end(), 0.0);
for (size_t i = 0; i < m_nwalls; i++) {
int lr = 1 - 2*m_lr[i];
double vdot = lr*m_wall[i]->vdot(time);
m_vdot += vdot;
m_Q += lr*m_wall[i]->Q(time);
Kinetics* kin = m_wall[i]->kinetics(m_lr[i]);
SurfPhase* surf = m_wall[i]->surface(m_lr[i]);
if (surf && kin) {
double rs0 = 1.0/surf->siteDensity();
size_t nk = surf->nSpecies();
double sum = 0.0;
surf->setTemperature(m_state[0]);
m_wall[i]->syncCoverages(m_lr[i]);
kin->getNetProductionRates(DATA_PTR(m_work));
size_t ns = kin->surfacePhaseIndex();
size_t surfloc = kin->kineticsSpeciesIndex(0,ns);
for (size_t k = 1; k < nk; k++) {
ydot[loc + k] = m_work[surfloc+k]*rs0*surf->size(k);
sum -= ydot[loc + k];
}
ydot[loc] = sum;
loc += nk;
double wallarea = m_wall[i]->area();
for (size_t k = 0; k < m_nsp; k++) {
m_sdot[k] += m_work[k]*wallarea;
}
}
}
// volume equation
ydot[1] = m_vdot;
/* species equations
* Equation is:
* \dot M_k = \hat W_k \dot\omega_k + \dot m_{in} Y_{k,in}
* - \dot m_{out} Y_{k} + A \dot s_k.
*/
const vector_fp& mw = m_thermo->molecularWeights();
if (m_chem) {
m_kin->getNetProductionRates(ydot+2); // "omega dot"
} else {
fill(ydot + 2, ydot + 2 + m_nsp, 0.0);
}
for (size_t n = 0; n < m_nsp; n++) {
ydot[n+2] *= m_vol; // moles/s/m^3 -> moles/s
ydot[n+2] += m_sdot[n];
ydot[n+2] *= mw[n];
}
/*
* Energy equation.
* \f[
* \dot U = -P\dot V + A \dot q + \dot m_{in} h_{in}
* - \dot m_{out} h.
* \f]
*/
if (m_energy) {
ydot[0] = - m_thermo->pressure() * m_vdot - m_Q;
} else {
ydot[0] = 0.0;
}
// add terms for open system
if (m_open) {
const doublereal* mf = m_thermo->massFractions();
doublereal enthalpy = m_thermo->enthalpy_mass();
// outlets
for (size_t i = 0; i < m_nOutlets; i++) {
double mdot_out = m_outlet[i]->massFlowRate(time);
for (size_t n = 0; n < m_nsp; n++) {
ydot[2+n] -= mdot_out * mf[n];
}
if (m_energy) {
ydot[0] -= mdot_out * enthalpy;
}
}
// inlets
for (size_t i = 0; i < m_nInlets; i++) {
double mdot_in = m_inlet[i]->massFlowRate(time);
for (size_t n = 0; n < m_nsp; n++) {
ydot[2+n] += m_inlet[i]->outletSpeciesMassFlowRate(n);
}
if (m_energy) {
ydot[0] += mdot_in * m_inlet[i]->enthalpy_mass();
}
}
}
// reset sensitivity parameters
if (params) {
size_t npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
double mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult/params[n]);
}
size_t ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->resetSensitivityParameters(m_lr[m]);
ploc += m_nsens_wall[m];
}
}
}
}
void IdealGasConstPressureReactor::evalEqs(doublereal time, doublereal* y,
doublereal* ydot, doublereal* params)
{
size_t nk;
m_thermo->restoreState(m_state);
Kinetics* kin;
size_t npar, ploc;
double mult;
// process sensitivity parameters
if (params) {
npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult*params[n]);
}
ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->setSensitivityParameters(m_lr[m], params + ploc);
ploc += m_nsens_wall[m];
}
}
}
m_Q = 0.0;
// compute wall terms
doublereal rs0, sum, wallarea;
double mcpdTdt = 0.0; // m * c_p * dT/dt
double dmdt = 0.0; // dm/dt (gas phase)
double* dYdt = ydot + 2;
m_thermo->getPartialMolarEnthalpies(&m_hk[0]);
SurfPhase* surf;
size_t lr, ns, loc = m_nsp+2, surfloc;
fill(m_sdot.begin(), m_sdot.end(), 0.0);
for (size_t i = 0; i < m_nwalls; i++) {
lr = 1 - 2*m_lr[i];
m_Q += lr*m_wall[i]->Q(time);
kin = m_wall[i]->kinetics(m_lr[i]);
surf = m_wall[i]->surface(m_lr[i]);
if (surf && kin) {
rs0 = 1.0/surf->siteDensity();
nk = surf->nSpecies();
sum = 0.0;
surf->setTemperature(m_state[0]);
m_wall[i]->syncCoverages(m_lr[i]);
kin->getNetProductionRates(DATA_PTR(m_work));
ns = kin->surfacePhaseIndex();
surfloc = kin->kineticsSpeciesIndex(0,ns);
for (size_t k = 1; k < nk; k++) {
ydot[loc + k] = m_work[surfloc+k]*rs0*surf->size(k);
sum -= ydot[loc + k];
}
ydot[loc] = sum;
loc += nk;
wallarea = m_wall[i]->area();
for (size_t k = 0; k < m_nsp; k++) {
m_sdot[k] += m_work[k]*wallarea;
}
}
}
const vector_fp& mw = m_thermo->molecularWeights();
const doublereal* Y = m_thermo->massFractions();
if (m_chem) {
m_kin->getNetProductionRates(&m_wdot[0]); // "omega dot"
}
double mdot_surf = 0.0; // net mass flux from surface
for (size_t k = 0; k < m_nsp; k++) {
// production in gas phase and from surfaces
dYdt[k] = (m_wdot[k] * m_vol + m_sdot[k]) * mw[k] / m_mass;
mdot_surf += m_sdot[k] * mw[k];
}
dmdt += mdot_surf;
// external heat transfer
mcpdTdt -= m_Q;
for (size_t n = 0; n < m_nsp; n++) {
// heat release from gas phase and surface reations
mcpdTdt -= m_wdot[n] * m_hk[n] * m_vol;
mcpdTdt -= m_sdot[n] * m_hk[n];
// dilution by net surface mass flux
dYdt[n] -= Y[n] * mdot_surf / m_mass;
}
// add terms for open system
if (m_open) {
// outlets
for (size_t i = 0; i < m_nOutlets; i++) {
dmdt -= m_outlet[i]->massFlowRate(time); // mass flow out of system
}
// inlets
for (size_t i = 0; i < m_nInlets; i++) {
double mdot_in = m_inlet[i]->massFlowRate(time);
dmdt += mdot_in; // mass flow into system
mcpdTdt += m_inlet[i]->enthalpy_mass() * mdot_in;
for (size_t n = 0; n < m_nsp; n++) {
double mdot_spec = m_inlet[i]->outletSpeciesMassFlowRate(n);
// flow of species into system and dilution by other species
dYdt[n] += (mdot_spec - mdot_in * Y[n]) / m_mass;
mcpdTdt -= m_hk[n] / mw[n] * mdot_spec;
}
}
}
ydot[0] = dmdt;
if (m_energy) {
ydot[1] = mcpdTdt / (m_mass * m_thermo->cp_mass());
} else {
ydot[1] = 0.0;
}
// reset sensitivity parameters
if (params) {
npar = m_pnum.size();
for (size_t n = 0; n < npar; n++) {
mult = m_kin->multiplier(m_pnum[n]);
m_kin->setMultiplier(m_pnum[n], mult/params[n]);
}
ploc = npar;
for (size_t m = 0; m < m_nwalls; m++) {
if (m_nsens_wall[m] > 0) {
m_wall[m]->resetSensitivityParameters(m_lr[m]);
ploc += m_nsens_wall[m];
}
}
}
}