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radiation.cxx
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#include <boutexception.hxx>
#include <globals.hxx> // for mesh object
#include <output.hxx>
#include <utils.hxx>
#include "radiation.hxx"
#include <fstream>
#include <sstream>
#include <string>
const Field3D RadiatedPower::power(const Field3D &Te, const Field3D &Ne,
const Field3D &Ni) {
Field3D result;
result.allocate();
for (auto &i : result.getRegion("RGN_ALL")) {
result[i] = power(Te[i], Ne[i], Ni[i]);
}
return result;
}
InterpRadiatedPower::InterpRadiatedPower(const std::string &filename) {
std::ifstream file(filename.c_str());
output.write("Loading data from file: %s\n", filename.c_str());
if (!file.is_open())
throw BoutException("InterpRadiatedPower: Couldn't open file %s\n",
filename.c_str());
std::string line;
int linenr = 1;
while (std::getline(file, line)) {
// Expecting either a comment, blank line, or two numbers
// Remove comments, then whitespace from left and right
std::string strippedline = trim(trimComments(line));
if (strippedline.length() == 0)
continue;
std::stringstream ss(strippedline);
BoutReal t, p;
if (!(ss >> t))
throw BoutException("InterpRadiatedPower: file '%s' line %d: %s\n",
filename.c_str(), linenr, line.c_str());
if (!(ss >> p))
throw BoutException("InterpRadiatedPower: file '%s' line %d: %s\n",
filename.c_str(), linenr, line.c_str());
te_array.push_back(t);
p_array.push_back(p);
linenr++;
}
file.close();
}
////////////////////////////////////////////////////////////////
//
// Collision rate coefficient <sigma*v> [m3/s]
BoutReal HydrogenRadiatedPower::ionisation(BoutReal T) {
double fION; // collision rate coefficient <sigma*v> [m3/s]
double TT, X, S;
TT = T;
if (TT < 1.0)
TT = 1.0;
X = log10(TT);
if (TT >= 20.0)
S = -0.5151 * X - 2.563 / X - 5.231;
else
S = -3.054 * X - 15.72 * exp(-X) + 1.603 * exp(-X * X);
fION = pow(10.0, S - 6.0);
return fION;
}
//<sigma*v> [m3/s]
BoutReal HydrogenRadiatedPower::recombination(BoutReal n, BoutReal T) {
double fREC; //<sigma*v> [m3/s]
double TT, RDNE, RTE, DNE, E, RN, RT, RNJ, RTI, suma;
int i, j, i1, j1;
if (n < 1e3) // Log(n) used, so prevent NaNs
return 0.0;
double MATA[9][9] = {
{
-2.855728479302E+01, -7.664042607917E-01, -4.930424003280E-03,
-5.386830982777E-03, -1.626039237665E-04, 6.080907650243E-06,
2.101102051942E-05, -2.770717597683E-06, 1.038235939800E-07,
},
{
3.488563234375E-02, -3.583233366133E-03, -3.620245352252E-03,
-9.532840484460E-04, 1.888048628708E-04, -1.014890683861E-05,
2.245676563601E-05, -4.695982369246E-06, 2.523166611507E-07,
},
{
-2.799644392058E-02, -7.452514292790E-03, 6.958711963182E-03,
4.631753807534E-04, 1.288577690147E-04, -1.145028889459E-04,
-2.245624273814E-06, 3.250878872873E-06, -2.145390398476E-07,
},
{
1.209545317879E-02, 2.709299760454E-03, -2.139257298118E-03,
-5.371179699661E-04, -1.634580516353E-05, 5.942193980802E-05,
-2.944873763540E-06, -9.387290785993E-07, 7.381435237585E-08,
},
{
-2.436630799820E-03, -7.745129766167E-04, 4.603883706734E-04,
1.543350502150E-04, -9.601036952725E-06, -1.211851723717E-05,
1.002105099354E-06, 1.392391630459E-07, -1.299713684966E-08,
},
{
2.837893719800E-04, 1.142444698207E-04, -5.991636837395E-05,
-2.257565836876E-05, 3.425262385387E-06, 1.118965496365E-06,
-1.291320799814E-07, -1.139093288575E-08, 1.265189576423E-09,
},
{
-1.886511169084E-05, -9.382783518064E-06, 4.729262545726E-06,
1.730782954588E-06, -4.077019941998E-07, -4.275321573501E-08,
7.786155463269E-09, 5.178505597480E-10, -6.854203970018E-11,
},
{
6.752155602894E-07, 3.902800099653E-07, -1.993485395689E-07,
-6.618240780594E-08, 2.042041097083E-08, 3.708616111085E-10,
-2.441127783437E-10, -9.452402157390E-12, 1.836615031798E-12,
},
{
-1.005893858779E-08, -6.387411585521E-09, 3.352589865190E-09,
1.013364275013E-09, -3.707977721109E-10, 7.068450112690E-12,
3.773208484020E-12, -4.672724022059E-14, -1.640492364811E-14,
},
};
RDNE = n;
RTE = T;
DNE = RDNE;
TT = RTE;
E = DNE * 1.0E-14;
if (TT < 1.0)
TT = 1.0;
RN = log(E);
RT = log(TT);
suma = 0.0;
for (i = 1; i <= 9; i++) {
i1 = i - 1;
for (j = 1; j <= 9; j++) {
j1 = j - 1;
RNJ = pow(RN, j1);
if ((RN == 0.0) && (j1 == 0))
RNJ = 1.0;
RTI = pow(RT, i1);
if ((RT == 0.0) && (i1 == 0))
RTI = 1.0;
suma = suma + MATA[j - 1][i - 1] * RNJ * RTI;
}
}
fREC = exp(suma) * 1.0E-6;
return fREC;
}
// <sigma*v> [m3/s]
BoutReal HydrogenRadiatedPower::chargeExchange(BoutReal Te) {
double fCX; //<sigma*v> [m3/s]
double TT, S;
TT = Te;
if (TT < 1.0)
TT = 1.0;
S = -14.0 + log10(TT) / 3.0;
fCX = pow(10.0, S);
return fCX;
}
// <sigma*v> [m3/s]
BoutReal HydrogenRadiatedPower::excitation(BoutReal Te) {
double fEXC; //<sigma*v> [m3/s]
double TT, Y;
TT = Te;
if (TT < 1.0)
TT = 1.0;
Y = 10.2 / TT;
fEXC = 49.0E-14 / (0.28 + Y) * exp(-Y) * sqrt(Y * (1.0 + Y));
return fEXC;
}
/////////////////////////////////////////////////////////////////////////////
// Collision rate coefficient <sigma*v> [m3/s]
BoutReal UpdatedRadiatedPower::ionisation(BoutReal T) {
double fION; // Rate coefficient
double TT;
TT = T;
double ioncoeffs[9] = {-3.271397E1, 1.353656E1, -5.739329,
1.563155, -2.877056E-1, 3.482560e-2,
-2.631976E-3, 1.119544E-4, -2.039150E-6};
double lograte = 0.0;
for (int i = 0; i <= 8; i++) {
lograte = lograte + ioncoeffs[i] * pow(log(TT), i);
}
fION = exp(lograte) * 1.0E-6;
return fION;
}
//<sigma*v> [m3/s]
BoutReal UpdatedRadiatedPower::recombination(BoutReal n, BoutReal T) {
double TT, RDNE, RTE, DNE, E, RN, RT, RNJ, RTI, suma, fHAV, fRAD;
int i, j, i1, j1;
if (n < 1e3) // Log(n) used, so prevent NaNs
return 0.0;
double MATA[9][9] = {
{
-2.855728479302E+01, -7.664042607917E-01, -4.930424003280E-03,
-5.386830982777E-03, -1.626039237665E-04, 6.080907650243E-06,
2.101102051942E-05, -2.770717597683E-06, 1.038235939800E-07,
},
{
3.488563234375E-02, -3.583233366133E-03, -3.620245352252E-03,
-9.532840484460E-04, 1.888048628708E-04, -1.014890683861E-05,
2.245676563601E-05, -4.695982369246E-06, 2.523166611507E-07,
},
{
-2.799644392058E-02, -7.452514292790E-03, 6.958711963182E-03,
4.631753807534E-04, 1.288577690147E-04, -1.145028889459E-04,
-2.245624273814E-06, 3.250878872873E-06, -2.145390398476E-07,
},
{
1.209545317879E-02, 2.709299760454E-03, -2.139257298118E-03,
-5.371179699661E-04, -1.634580516353E-05, 5.942193980802E-05,
-2.944873763540E-06, -9.387290785993E-07, 7.381435237585E-08,
},
{
-2.436630799820E-03, -7.745129766167E-04, 4.603883706734E-04,
1.543350502150E-04, -9.601036952725E-06, -1.211851723717E-05,
1.002105099354E-06, 1.392391630459E-07, -1.299713684966E-08,
},
{
2.837893719800E-04, 1.142444698207E-04, -5.991636837395E-05,
-2.257565836876E-05, 3.425262385387E-06, 1.118965496365E-06,
-1.291320799814E-07, -1.139093288575E-08, 1.265189576423E-09,
},
{
-1.886511169084E-05, -9.382783518064E-06, 4.729262545726E-06,
1.730782954588E-06, -4.077019941998E-07, -4.275321573501E-08,
7.786155463269E-09, 5.178505597480E-10, -6.854203970018E-11,
},
{
6.752155602894E-07, 3.902800099653E-07, -1.993485395689E-07,
-6.618240780594E-08, 2.042041097083E-08, 3.708616111085E-10,
-2.441127783437E-10, -9.452402157390E-12, 1.836615031798E-12,
},
{
-1.005893858779E-08, -6.387411585521E-09, 3.352589865190E-09,
1.013364275013E-09, -3.707977721109E-10, 7.068450112690E-12,
3.773208484020E-12, -4.672724022059E-14, -1.640492364811E-14,
},
};
RDNE = n;
RTE = T;
DNE = RDNE;
TT = RTE;
E = DNE * 1.0E-14;
RN = log(E);
RT = log(TT);
suma = 0.0;
for (i = 1; i <= 9; i++) {
i1 = i - 1;
for (j = 1; j <= 9; j++) {
j1 = j - 1;
RNJ = pow(RN, j1);
if ((RN == 0.0) && (j1 == 0))
RNJ = 1.0;
RTI = pow(RT, i1);
if ((RT == 0.0) && (i1 == 0))
RTI = 1.0;
suma = suma + MATA[j - 1][i - 1] * RNJ * RTI;
}
}
fHAV = exp(suma) * 1.0E-6 / (1.0 + 0.125 * TT);
double A = 3.92E-20;
double B = 3.0E-124 * pow(1.6E-19, -4.5);
double Ry = 13.60569;
double chi = 0.35;
fRAD = A * pow(Ry, 1.5) * 1.0 / (sqrt(TT) * (Ry + chi * TT));
double fREC = fHAV + fRAD + B * DNE * pow(TT, -5.0);
return fREC;
}
// <sigma*v> [m3/s]
BoutReal UpdatedRadiatedPower::chargeExchange(BoutReal T) {
double fCX;
double TT;
TT = T;
double E = 10.0;
double cxcoeffs[9][9] = {
{
-1.829079582E1, 1.640252721E-1, 3.364564509E-2, 9.530225559E-3,
-8.519413900E-4, -1.247583861E-3, 3.014307546E-4, -2.499323170E-5,
6.932627238E-7,
},
{
2.169137616E-1, -1.106722014E-1, -1.382158680E-3, 7.348786287E-3,
-6.343059502E-4, -1.919569450E-4, 4.075019352E-5, -2.850044983E-6,
6.966822400E-8,
},
{
4.307131244E-2, 8.948693625E-3, -1.209480567E-2, -3.675019470E-4,
1.039643391E-3, -1.553840718E-4, 2.670827249E-6, 7.695300598E-7,
-3.783302282E-8,
},
{
-5.754895093E-4, 6.062141761E-3, 1.075907882E-3, -8.119301728E-4,
8.911036876E-6, 3.175388950E-5, -4.515123642E-6, 2.187439284E-7,
-2.911233952E-9,
},
{
-1.552077120E-3, -1.210431588E-3, 8.297212634E-4, 1.361661817E-4,
-1.008928628E-4, 1.080693990E-5, 5.106059414E-7, -1.299275586E-7,
5.117133050E-9,
},
{
-1.876800283E-4, -4.052878752E-5, -1.907025663E-4, 1.141663042E-5,
1.775681984E-5, -3.149286924E-6, 3.105491555E-8, 2.274394089E-8,
-1.130988251E-9,
},
{
1.125490271E-4, 2.875900436E-5, 1.338839629E-5, -4.340802793E-6,
-7.003521917E-7, 2.318308730E-7, -6.030983538E-9, -1.755944926E-9,
1.005189187E-10,
},
{
-1.238982763E-5, -2.616998140E-6, -1.171762874E-7, 3.517971869E-7,
-4.928692833E-8, 1.756388999E-10, -1.446756796E-10, 7.143183138E-11,
-3.989884106E-12,
},
{
4.163596197E-7, 7.558092849E-8, -1.328404104E-8, -9.170850254E-9,
3.208853884E-9, -3.952740759E-10, 2.739558476E-11, -1.693040209E-12,
6.388219930E-14,
},
};
double lograte = 0.0;
for (int i = 0; i <= 8; i++) {
for (int j = 0; j <= 8; j++) {
lograte = lograte + cxcoeffs[i][j] * pow(log(TT), i) * pow(log(E), j);
}
}
fCX = 1.0E-6 * exp(lograte);
return fCX;
}
// <sigma*v> [m3/s]
BoutReal UpdatedRadiatedPower::excitation(BoutReal Te) {
double fEXC; //<sigma*v> [m3/s]
double TT, Y;
TT = Te;
if (TT < 1.0)
TT = 1.0;
Y = 10.2 / TT;
fEXC = 49.0E-14 / (0.28 + Y) * exp(-Y) * sqrt(Y * (1.0 + Y));
return fEXC;
}