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shielding.cpp
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166 lines (155 loc) · 24.2 KB
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#include "shielding.h"
#include "stdio.h"
/*CO column density for DB table*/
const double Shielding::logNCOvDB_[len_NCO_DB_] = {0, 13, 14, 15, 16, 17, 18, 19};
/* H2 column densities for DB table*/
const double Shielding::logNH2vDB_[len_NH2_DB_] = {0, 19, 20, 21, 22, 23};
/* Tabulated shielding factors */
const double Shielding::ThetavDB_[len_NH2_DB_][len_NCO_DB_] = {
{1.0, 9.681e-1, 7.764e-1, 3.631e-1, 7.013e-2, 1.295e-2, 1.738e-3, 9.985e-5},
{8.215e-1, 7.916e-1, 6.160e-1, 2.749e-1, 5.351e-2, 1.065e-2, 1.519e-3, 8.818e-5},
{7.160e-1, 6.900e-1, 5.360e-1, 2.359e-1, 4.416e-2, 8.769e-3, 1.254e-3, 7.558e-5},
{3.500e-1, 3.415e-1, 2.863e-1, 1.360e-1, 2.500e-2, 4.983e-3, 7.151e-4, 3.796e-5},
{4.973e-2, 4.877e-2, 4.296e-2, 2.110e-2, 4.958e-3, 9.245e-4, 1.745e-4, 8.377e-6},
{1.310e-4, 1.293e-4, 1.160e-4, 6.346e-5, 1.822e-5, 6.842e-6, 3.622e-6, 3.572e-7}
};
/*-------------------Visser 2009 Table 5---------------------------*/
const double Shielding::logNCOV09_[len_NCO_V09_] = {
0.000,10.000,10.200,10.400,10.600,10.800,11.000,11.200,11.400,11.600,11.800,12.000,12.200,12.400,12.600,12.800,13.000,13.200,13.400,13.600,13.800,14.000,14.200,14.400,14.600,14.800,15.000,15.200,15.400,15.600,15.800,16.000,16.200,16.400,16.600,16.800,17.000,17.200,17.400,17.600,17.800,18.000,18.200,18.400,18.600,18.800,19.000};
const double Shielding::logNH2V09_[len_NH2_V09_] = {
0.000,15.000,15.200,15.400,15.600,15.800,16.000,16.200,16.400,16.600,16.800,17.000,17.200,17.400,17.600,17.800,18.000,18.200,18.400,18.600,18.800,19.000,19.200,19.400,19.600,19.800,20.000,20.200,20.400,20.600,20.800,21.000,21.200,21.400,21.600,21.800,22.000,22.200,22.400,22.600,22.800,23.000};
const double Shielding::ThetaV09_[len_NH2_V09_][len_NCO_V09_] = {
{1.000e+00,9.997e-01,9.995e-01,9.992e-01,9.988e-01,9.981e-01,9.970e-01,9.953e-01,9.926e-01,9.883e-01,9.817e-01,9.716e-01,9.563e-01,9.338e-01,9.021e-01,8.599e-01,8.080e-01,7.498e-01,6.900e-01,6.323e-01,5.777e-01,5.250e-01,4.720e-01,4.177e-01,3.614e-01,3.028e-01,2.434e-01,1.871e-01,1.387e-01,1.012e-01,7.401e-02,5.467e-02,4.075e-02,3.063e-02,2.323e-02,1.775e-02,1.362e-02,1.044e-02,7.963e-03,6.037e-03,4.541e-03,3.378e-03,2.470e-03,1.759e-03,1.210e-03,8.046e-04,5.240e-04},
{8.985e-01,8.983e-01,8.981e-01,8.978e-01,8.974e-01,8.967e-01,8.956e-01,8.939e-01,8.913e-01,8.871e-01,8.807e-01,8.707e-01,8.558e-01,8.338e-01,8.030e-01,7.621e-01,7.122e-01,6.569e-01,6.014e-01,5.494e-01,5.021e-01,4.578e-01,4.137e-01,3.681e-01,3.201e-01,2.694e-01,2.177e-01,1.683e-01,1.256e-01,9.224e-02,6.786e-02,5.034e-02,3.767e-02,2.844e-02,2.167e-02,1.664e-02,1.282e-02,9.868e-03,7.556e-03,5.743e-03,4.325e-03,3.223e-03,2.363e-03,1.690e-03,1.169e-03,7.815e-04,5.112e-04},
{8.966e-01,8.963e-01,8.962e-01,8.959e-01,8.955e-01,8.948e-01,8.937e-01,8.920e-01,8.894e-01,8.852e-01,8.788e-01,8.688e-01,8.539e-01,8.319e-01,8.011e-01,7.602e-01,7.103e-01,6.551e-01,5.996e-01,5.476e-01,5.004e-01,4.562e-01,4.122e-01,3.667e-01,3.190e-01,2.685e-01,2.171e-01,1.679e-01,1.254e-01,9.214e-02,6.781e-02,5.031e-02,3.765e-02,2.842e-02,2.166e-02,1.663e-02,1.282e-02,9.865e-03,7.554e-03,5.741e-03,4.323e-03,3.222e-03,2.362e-03,1.689e-03,1.169e-03,7.811e-04,5.110e-04},
{8.949e-01,8.946e-01,8.944e-01,8.941e-01,8.937e-01,8.930e-01,8.920e-01,8.903e-01,8.876e-01,8.834e-01,8.770e-01,8.671e-01,8.521e-01,8.302e-01,7.993e-01,7.585e-01,7.086e-01,6.533e-01,5.979e-01,5.460e-01,4.988e-01,4.546e-01,4.107e-01,3.655e-01,3.179e-01,2.677e-01,2.165e-01,1.676e-01,1.252e-01,9.204e-02,6.776e-02,5.028e-02,3.763e-02,2.841e-02,2.165e-02,1.662e-02,1.281e-02,9.861e-03,7.551e-03,5.739e-03,4.322e-03,3.220e-03,2.361e-03,1.689e-03,1.168e-03,7.808e-04,5.108e-04},
{8.932e-01,8.929e-01,8.927e-01,8.924e-01,8.920e-01,8.913e-01,8.903e-01,8.886e-01,8.859e-01,8.818e-01,8.753e-01,8.654e-01,8.504e-01,8.285e-01,7.976e-01,7.568e-01,7.069e-01,6.517e-01,5.962e-01,5.444e-01,4.972e-01,4.531e-01,4.094e-01,3.642e-01,3.169e-01,2.669e-01,2.159e-01,1.672e-01,1.250e-01,9.193e-02,6.770e-02,5.025e-02,3.761e-02,2.839e-02,2.164e-02,1.661e-02,1.281e-02,9.858e-03,7.549e-03,5.737e-03,4.320e-03,3.219e-03,2.360e-03,1.688e-03,1.168e-03,7.805e-04,5.106e-04},
{8.915e-01,8.912e-01,8.911e-01,8.908e-01,8.904e-01,8.897e-01,8.886e-01,8.869e-01,8.843e-01,8.801e-01,8.737e-01,8.637e-01,8.488e-01,8.269e-01,7.960e-01,7.551e-01,7.053e-01,6.501e-01,5.947e-01,5.428e-01,4.957e-01,4.517e-01,4.080e-01,3.630e-01,3.159e-01,2.661e-01,2.154e-01,1.669e-01,1.248e-01,9.182e-02,6.764e-02,5.022e-02,3.759e-02,2.838e-02,2.162e-02,1.661e-02,1.280e-02,9.854e-03,7.546e-03,5.735e-03,4.319e-03,3.218e-03,2.359e-03,1.687e-03,1.167e-03,7.802e-04,5.104e-04},
{8.899e-01,8.896e-01,8.895e-01,8.892e-01,8.888e-01,8.881e-01,8.870e-01,8.853e-01,8.827e-01,8.785e-01,8.721e-01,8.621e-01,8.472e-01,8.253e-01,7.944e-01,7.536e-01,7.037e-01,6.485e-01,5.931e-01,5.413e-01,4.942e-01,4.503e-01,4.067e-01,3.618e-01,3.148e-01,2.653e-01,2.148e-01,1.665e-01,1.246e-01,9.170e-02,6.758e-02,5.018e-02,3.757e-02,2.837e-02,2.161e-02,1.660e-02,1.280e-02,9.851e-03,7.544e-03,5.733e-03,4.317e-03,3.216e-03,2.358e-03,1.686e-03,1.167e-03,7.799e-04,5.103e-04},
{8.855e-01,8.852e-01,8.850e-01,8.848e-01,8.843e-01,8.837e-01,8.826e-01,8.809e-01,8.782e-01,8.741e-01,8.676e-01,8.577e-01,8.428e-01,8.209e-01,7.900e-01,7.492e-01,6.993e-01,6.442e-01,5.888e-01,5.371e-01,4.901e-01,4.463e-01,4.028e-01,3.582e-01,3.114e-01,2.622e-01,2.120e-01,1.642e-01,1.227e-01,9.024e-02,6.640e-02,4.917e-02,3.667e-02,2.759e-02,2.096e-02,1.608e-02,1.239e-02,9.538e-03,7.308e-03,5.558e-03,4.189e-03,3.123e-03,2.290e-03,1.638e-03,1.133e-03,7.572e-04,4.958e-04},
{8.834e-01,8.831e-01,8.829e-01,8.826e-01,8.822e-01,8.815e-01,8.805e-01,8.788e-01,8.761e-01,8.720e-01,8.655e-01,8.556e-01,8.406e-01,8.187e-01,7.879e-01,7.471e-01,6.972e-01,6.421e-01,5.867e-01,5.350e-01,4.881e-01,4.443e-01,4.010e-01,3.565e-01,3.099e-01,2.609e-01,2.111e-01,1.635e-01,1.223e-01,9.003e-02,6.629e-02,4.911e-02,3.664e-02,2.757e-02,2.095e-02,1.607e-02,1.238e-02,9.533e-03,7.305e-03,5.555e-03,4.187e-03,3.121e-03,2.289e-03,1.637e-03,1.132e-03,7.567e-04,4.955e-04},
{8.814e-01,8.811e-01,8.809e-01,8.807e-01,8.802e-01,8.796e-01,8.785e-01,8.768e-01,8.741e-01,8.700e-01,8.635e-01,8.536e-01,8.387e-01,8.168e-01,7.859e-01,7.451e-01,6.953e-01,6.401e-01,5.848e-01,5.331e-01,4.862e-01,4.425e-01,3.993e-01,3.549e-01,3.085e-01,2.597e-01,2.101e-01,1.629e-01,1.219e-01,8.978e-02,6.616e-02,4.905e-02,3.661e-02,2.755e-02,2.094e-02,1.606e-02,1.237e-02,9.529e-03,7.302e-03,5.553e-03,4.185e-03,3.120e-03,2.288e-03,1.636e-03,1.131e-03,7.562e-04,4.952e-04},
{8.792e-01,8.789e-01,8.788e-01,8.785e-01,8.781e-01,8.774e-01,8.763e-01,8.746e-01,8.720e-01,8.678e-01,8.614e-01,8.515e-01,8.365e-01,8.146e-01,7.838e-01,7.429e-01,6.931e-01,6.380e-01,5.827e-01,5.310e-01,4.842e-01,4.405e-01,3.974e-01,3.531e-01,3.068e-01,2.583e-01,2.090e-01,1.620e-01,1.214e-01,8.948e-02,6.601e-02,4.897e-02,3.657e-02,2.753e-02,2.092e-02,1.605e-02,1.237e-02,9.523e-03,7.297e-03,5.549e-03,4.182e-03,3.117e-03,2.286e-03,1.634e-03,1.130e-03,7.557e-04,4.948e-04},
{8.766e-01,8.764e-01,8.762e-01,8.759e-01,8.755e-01,8.748e-01,8.737e-01,8.720e-01,8.694e-01,8.652e-01,8.588e-01,8.489e-01,8.339e-01,8.120e-01,7.812e-01,7.404e-01,6.906e-01,6.355e-01,5.802e-01,5.285e-01,4.817e-01,4.381e-01,3.951e-01,3.509e-01,3.049e-01,2.566e-01,2.076e-01,1.611e-01,1.207e-01,8.911e-02,6.581e-02,4.887e-02,3.652e-02,2.749e-02,2.090e-02,1.603e-02,1.235e-02,9.515e-03,7.291e-03,5.545e-03,4.178e-03,3.114e-03,2.284e-03,1.633e-03,1.129e-03,7.549e-04,4.943e-04},
{8.735e-01,8.732e-01,8.730e-01,8.728e-01,8.723e-01,8.716e-01,8.706e-01,8.689e-01,8.662e-01,8.621e-01,8.556e-01,8.457e-01,8.308e-01,8.089e-01,7.781e-01,7.372e-01,6.874e-01,6.324e-01,5.771e-01,5.255e-01,4.787e-01,4.352e-01,3.923e-01,3.483e-01,3.025e-01,2.546e-01,2.060e-01,1.598e-01,1.199e-01,8.861e-02,6.554e-02,4.874e-02,3.644e-02,2.745e-02,2.087e-02,1.601e-02,1.234e-02,9.504e-03,7.284e-03,5.539e-03,4.173e-03,3.111e-03,2.281e-03,1.630e-03,1.128e-03,7.540e-04,4.937e-04},
{8.697e-01,8.694e-01,8.692e-01,8.689e-01,8.685e-01,8.678e-01,8.668e-01,8.651e-01,8.624e-01,8.583e-01,8.518e-01,8.419e-01,8.270e-01,8.051e-01,7.743e-01,7.335e-01,6.837e-01,6.286e-01,5.734e-01,5.218e-01,4.751e-01,4.317e-01,3.889e-01,3.451e-01,2.996e-01,2.520e-01,2.039e-01,1.582e-01,1.188e-01,8.795e-02,6.517e-02,4.854e-02,3.634e-02,2.738e-02,2.083e-02,1.598e-02,1.232e-02,9.490e-03,7.273e-03,5.530e-03,4.167e-03,3.105e-03,2.277e-03,1.628e-03,1.126e-03,7.527e-04,4.929e-04},
{8.652e-01,8.649e-01,8.647e-01,8.644e-01,8.640e-01,8.633e-01,8.623e-01,8.606e-01,8.579e-01,8.538e-01,8.473e-01,8.374e-01,8.225e-01,8.006e-01,7.698e-01,7.290e-01,6.793e-01,6.242e-01,5.690e-01,5.175e-01,4.709e-01,4.276e-01,3.849e-01,3.414e-01,2.962e-01,2.490e-01,2.014e-01,1.563e-01,1.175e-01,8.712e-02,6.469e-02,4.828e-02,3.619e-02,2.729e-02,2.077e-02,1.594e-02,1.229e-02,9.471e-03,7.259e-03,5.519e-03,4.158e-03,3.098e-03,2.271e-03,1.624e-03,1.123e-03,7.509e-04,4.919e-04},
{8.600e-01,8.597e-01,8.595e-01,8.593e-01,8.588e-01,8.582e-01,8.571e-01,8.554e-01,8.528e-01,8.486e-01,8.422e-01,8.323e-01,8.173e-01,7.955e-01,7.647e-01,7.239e-01,6.742e-01,6.192e-01,5.640e-01,5.126e-01,4.660e-01,4.229e-01,3.804e-01,3.371e-01,2.923e-01,2.456e-01,1.985e-01,1.541e-01,1.159e-01,8.608e-02,6.406e-02,4.791e-02,3.598e-02,2.717e-02,2.069e-02,1.589e-02,1.226e-02,9.445e-03,7.239e-03,5.504e-03,4.146e-03,3.089e-03,2.264e-03,1.618e-03,1.119e-03,7.486e-04,4.904e-04},
{8.543e-01,8.540e-01,8.539e-01,8.536e-01,8.532e-01,8.525e-01,8.514e-01,8.497e-01,8.471e-01,8.429e-01,8.365e-01,8.266e-01,8.117e-01,7.898e-01,7.591e-01,7.183e-01,6.686e-01,6.137e-01,5.586e-01,5.072e-01,4.608e-01,4.178e-01,3.755e-01,3.325e-01,2.880e-01,2.418e-01,1.953e-01,1.516e-01,1.140e-01,8.481e-02,6.326e-02,4.743e-02,3.569e-02,2.699e-02,2.058e-02,1.582e-02,1.221e-02,9.411e-03,7.213e-03,5.483e-03,4.130e-03,3.076e-03,2.254e-03,1.611e-03,1.115e-03,7.456e-04,4.885e-04},
{8.482e-01,8.479e-01,8.477e-01,8.475e-01,8.470e-01,8.464e-01,8.453e-01,8.436e-01,8.410e-01,8.368e-01,8.304e-01,8.205e-01,8.056e-01,7.838e-01,7.531e-01,7.124e-01,6.627e-01,6.079e-01,5.529e-01,5.016e-01,4.553e-01,4.125e-01,3.704e-01,3.277e-01,2.836e-01,2.379e-01,1.920e-01,1.489e-01,1.120e-01,8.334e-02,6.227e-02,4.680e-02,3.530e-02,2.675e-02,2.043e-02,1.572e-02,1.214e-02,9.363e-03,7.177e-03,5.456e-03,4.108e-03,3.059e-03,2.241e-03,1.602e-03,1.108e-03,7.415e-04,4.859e-04},
{8.416e-01,8.414e-01,8.412e-01,8.409e-01,8.405e-01,8.398e-01,8.387e-01,8.371e-01,8.344e-01,8.303e-01,8.238e-01,8.140e-01,7.991e-01,7.773e-01,7.466e-01,7.060e-01,6.565e-01,6.017e-01,5.468e-01,4.957e-01,4.496e-01,4.069e-01,3.651e-01,3.228e-01,2.792e-01,2.340e-01,1.886e-01,1.461e-01,1.098e-01,8.169e-02,6.110e-02,4.602e-02,3.479e-02,2.643e-02,2.023e-02,1.559e-02,1.205e-02,9.298e-03,7.129e-03,5.419e-03,4.079e-03,3.037e-03,2.225e-03,1.590e-03,1.100e-03,7.364e-04,4.827e-04},
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{3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.938e-07,3.937e-07,3.937e-07,3.937e-07,3.937e-07,3.936e-07,3.935e-07,3.933e-07,3.931e-07,3.928e-07,3.923e-07,3.918e-07,3.913e-07,3.908e-07,3.904e-07,3.901e-07,3.898e-07,3.896e-07,3.894e-07,3.893e-07,3.893e-07,3.892e-07,3.891e-07,3.891e-07,3.890e-07,3.890e-07,3.889e-07,3.887e-07,3.885e-07,3.881e-07,3.875e-07}};
/*------------------Constructor and Destructor---------------------*/
Shielding::Shielding() {}
Shielding::~Shielding() {}
/*-----------------------CO self-sheilding and sheilding by * H2-------------*/
double Shielding::fShield_CO_vDB(const double NCO, const double NH2) {
const double logNCO = log10(NCO);
const double logNH2 = log10(NH2);
int iCO0, iCO1;
int iH20, iH21;
/*interpretation value of first, second line, and final value*/
double fl1, fl2, fl;
/*find which two points are we interpolate/extroplating*/
iCO0 = LinearInterpIndex(len_NCO_DB_, logNCOvDB_, logNCO);
iCO1 = iCO0+1;
iH20 = LinearInterpIndex(len_NH2_DB_, logNH2vDB_, logNH2);
iH21 = iH20+1;
/*linear interpretation of the rows*/
fl1 = LinearInterp(logNCOvDB_[iCO0], logNCOvDB_[iCO1],
log(ThetavDB_[iH20][iCO0]), log(ThetavDB_[iH20][iCO1]), logNCO);
fl2 = LinearInterp(logNCOvDB_[iCO0], logNCOvDB_[iCO1],
log(ThetavDB_[iH21][iCO0]), log(ThetavDB_[iH21][iCO1]), logNCO);
/*linear interpretation of the column*/
fl = LinearInterp(logNH2vDB_[iH20], logNH2vDB_[iH21],
fl1, fl2, logNH2);
return exp(fl);
}
double Shielding::fShield_CO_V09(const double NCO, const double NH2) {
const double N_small_ = 1.0e10;
double logNCO, logNH2;
//restrain values on the table
if (NCO < N_small_ && NH2 < N_small_) {
return 1.0;
}
if (NCO < N_small_) {
logNCO = 10.;
logNH2 = log10(NH2);
} else if (NH2 < N_small_) {
logNH2 = 10.;
logNCO = log10(NCO);
} else {
logNCO = log10(NCO);
logNH2 = log10(NH2);
}
int iCO0, iCO1;
int iH20, iH21;
/*interpretation value of first, second line, and final value*/
double fl1, fl2, fl;
/*find which two points are we interpolate/extroplating*/
iCO0 = LinearInterpIndex(len_NCO_V09_, logNCOV09_, logNCO);
iCO1 = iCO0+1;
iH20 = LinearInterpIndex(len_NH2_V09_, logNH2V09_, logNH2);
iH21 = iH20+1;
/*linear interpretation of the rows*/
fl1 = LinearInterp(logNCOV09_[iCO0], logNCOV09_[iCO1],
log(ThetaV09_[iH20][iCO0]), log(ThetaV09_[iH20][iCO1]), logNCO);
fl2 = LinearInterp(logNCOV09_[iCO0], logNCOV09_[iCO1],
log(ThetaV09_[iH21][iCO0]), log(ThetaV09_[iH21][iCO1]), logNCO);
/*linear interpretation of the column*/
fl = LinearInterp(logNH2V09_[iH20], logNH2V09_[iH21],
fl1, fl2, logNH2);
return exp(fl);
}
double Shielding::fShield_H2(const double NH2, const double bH2) {
const double N_small_ = 10.;
if (NH2 < N_small_) {
return 1.;
}
const double b5 = bH2 / 1.0e5;
const double x = NH2 / 5.0e14;
double p1, p2, term; /*first and second term*/
p1 = 0.965 / ( (1.+x/b5) * (1.+x/b5) );
term = sqrt(1. + x);
p2 = 0.035/term * exp(-8.5e-4*term);
return p1 + p2;
}
double Shielding::fShield_C(const double NC, const double NH2) {
//Tielens+Hollenbach1985 (A6) and (A7). Also see Wolfire's email on April 18,
//2016.
const double AH2 = 1.17e-8;
const double tau_H2 = 1.2e-14 * 2. * NH2;
const double y = AH2 * tau_H2;
const double ry = exp(-y) / (1. + y);
const double rc = exp(-1.6e-17*NC);
return rc * ry;
}
double Shielding::fShield_CO_C(const double NC) {
if (NC < 0) {
return 0.;
} else {
return exp(-1.6e-17*NC);
}
}