#include "NGCal.h" #include "Detail.h" #include #include #include #define NUMBEROFCOMPONENTS 21 Detail *Detail_Construct(void) { Detail *pDetail = (Detail *) malloc(sizeof(Detail)); if (!pDetail) { return NULL; } memset(pDetail, 0, sizeof(Detail)); pDetail->iNCC = 0; for (int i = 0; i < NUMBEROFCOMPONENTS; i++) { pDetail->aiCID[i] = -1; } pDetail->dOldMixID = 0.0; pDetail->dOldPb = 0.0; pDetail->dOldTb = 0.0; pDetail->dOldPf = 0.0; pDetail->dOldTf = 0.0; for (int i = 0; i < NUMBEROFCOMPONENTS; i++) { pDetail->dXi[i] = 0.0; } if (Detail_table(pDetail) != 0) { free(pDetail); return NULL; } return pDetail; } void Detail_Destroy(Detail *pDetail) { if (pDetail) { free(pDetail); } } int Detail_compositionchange(Detail *pDetail, const NGParSTRUCT *ptNGPar) { double dMixID = 0.0; for (int i = 0; i < NUMBEROFCOMPONENTS; i++) dMixID += ((i + 2) * ptNGPar->adMixture[i]); if (dMixID != pDetail->dOldMixID) { pDetail->dOldMixID = dMixID; return 1; } return 0; } void Detail_Run(Detail *pDetail, NGParSTRUCT *ptNGPar) { const int bCompChange = Detail_compositionchange(pDetail, ptNGPar); ptNGPar->bForceUpdate = ptNGPar->bForceUpdate || bCompChange; if (ptNGPar->bForceUpdate) { pDetail->iNCC = 0; for (int i = 0; i < NUMBEROFCOMPONENTS; i++) { if (ptNGPar->adMixture[i] > 0.0) { pDetail->aiCID[pDetail->iNCC] = i; pDetail->dXi[pDetail->iNCC] = ptNGPar->adMixture[i]; pDetail->iNCC++; } } Detail_paramdl(pDetail); Detail_chardl(pDetail, ptNGPar); } if (fabs(ptNGPar->dPb - pDetail->dOldPb) > P_CHG_TOL || fabs(ptNGPar->dTb - pDetail->dOldTb) > T_CHG_TOL || ptNGPar->bForceUpdate) { pDetail->dP = ptNGPar->dPb * 1.0e-6; pDetail->dT = ptNGPar->dTb; Detail_temp(pDetail); Detail_ddetail(pDetail, ptNGPar); ptNGPar->dDb = pDetail->dRho; ptNGPar->dZb = Detail_zdetail(pDetail, pDetail->dRho); pDetail->dRhoTP = (pDetail->dP * ptNGPar->dMrx) / (ptNGPar->dZb * RGASKJ * pDetail->dT); Detail_relativedensity(pDetail, ptNGPar); ptNGPar->dRhob = pDetail->dRhoTP; pDetail->dOldTb = ptNGPar->dTb; pDetail->dOldPb = ptNGPar->dPb; ptNGPar->bForceUpdate = 1; } pDetail->dP = ptNGPar->dPf * 1.0e-6; pDetail->dT = ptNGPar->dTf; if ((fabs(ptNGPar->dTf - pDetail->dOldTf) > T_CHG_TOL) || (ptNGPar->bForceUpdate)) { Detail_temp(pDetail); ptNGPar->bForceUpdate = 1; } if ((fabs(ptNGPar->dPf - pDetail->dOldPf) > P_CHG_TOL) || (ptNGPar->bForceUpdate)) { Detail_ddetail(pDetail, ptNGPar); ptNGPar->dDf = pDetail->dRho; ptNGPar->dZf = Detail_zdetail(pDetail, pDetail->dRho); pDetail->dRhoTP = (pDetail->dP * ptNGPar->dMrx) / (ptNGPar->dZf * RGASKJ * pDetail->dT); ptNGPar->dRhof = pDetail->dRhoTP; pDetail->dOldTf = ptNGPar->dTf; pDetail->dOldPf = ptNGPar->dPf; } if ((ptNGPar->dZb > 0.0) && (ptNGPar->dZf > 0.0)) { ptNGPar->dFpv = sqrt(ptNGPar->dZb / ptNGPar->dZf); } else { ptNGPar->lStatus = GENERAL_CALCULATION_FAILURE; ptNGPar->bForceUpdate = 0; } } int Detail_table(Detail *pDetail) { if (!pDetail) { return -1; } double adAn[58]; double adUn[58]; adAn[0] = 0.153832600; adAn[1] = 1.341953000; adAn[2] = -2.998583000; adAn[3] = -0.048312280; adAn[4] = 0.375796500; adAn[5] = -1.589575000; adAn[6] = -0.053588470; adAn[7] = 0.886594630; adAn[8] = -0.710237040; adAn[9] = -1.471722000; adAn[10] = 1.321850350; adAn[11] = -0.786659250; adAn[12] = 2.29129E-09; adAn[13] = 0.157672400; adAn[14] = -0.436386400; adAn[15] = -0.044081590; adAn[16] = -0.003433888; adAn[17] = 0.032059050; adAn[18] = 0.024873550; adAn[19] = 0.073322790; adAn[20] = -0.001600573; adAn[21] = 0.642470600; adAn[22] = -0.416260100; adAn[23] = -0.066899570; adAn[24] = 0.279179500; adAn[25] = -0.696605100; adAn[26] = -0.002860589; adAn[27] = -0.008098836; adAn[28] = 3.150547000; adAn[29] = 0.007224479; adAn[30] = -0.705752900; adAn[31] = 0.534979200; adAn[32] = -0.079314910; adAn[33] = -1.418465000; adAn[34] = -5.99905E-17; adAn[35] = 0.105840200; adAn[36] = 0.034317290; adAn[37] = -0.007022847; adAn[38] = 0.024955870; adAn[39] = 0.042968180; adAn[40] = 0.746545300; adAn[41] = -0.291961300; adAn[42] = 7.294616000; adAn[43] = -9.936757000; adAn[44] = -0.005399808; adAn[45] = -0.243256700; adAn[46] = 0.049870160; adAn[47] = 0.003733797; adAn[48] = 1.874951000; adAn[49] = 0.002168144; adAn[50] = -0.658716400; adAn[51] = 0.000205518; adAn[52] = 0.009776195; adAn[53] = -0.020487080; adAn[54] = 0.015573220; adAn[55] = 0.006862415; adAn[56] = -0.001226752; adAn[57] = 0.002850908; adUn[0] = 0.0; adUn[1] = 0.5; adUn[2] = 1.0; adUn[3] = 3.5; adUn[4] = -0.5; adUn[5] = 4.5; adUn[6] = 0.5; adUn[7] = 7.5; adUn[8] = 9.5; adUn[9] = 6.0; adUn[10] = 12.0; adUn[11] = 12.5; adUn[12] = -6.0; adUn[13] = 2.0; adUn[14] = 3.0; adUn[15] = 2.0; adUn[16] = 2.0; adUn[17] = 11.0; adUn[18] = -0.5; adUn[19] = 0.5; adUn[20] = 0.0; adUn[21] = 4.0; adUn[22] = 6.0; adUn[23] = 21.0; adUn[24] = 23.0; adUn[25] = 22.0; adUn[26] = -1.0; adUn[27] = -0.5; adUn[28] = 7.0; adUn[29] = -1.0; adUn[30] = 6.0; adUn[31] = 4.0; adUn[32] = 1.0; adUn[33] = 9.0; adUn[34] = -13.0; adUn[35] = 21.0; adUn[36] = 8.0; adUn[37] = -0.5; adUn[38] = 0.0; adUn[39] = 2.0; adUn[40] = 7.0; adUn[41] = 9.0; adUn[42] = 22.0; adUn[43] = 23.0; adUn[44] = 1.0; adUn[45] = 9.0; adUn[46] = 3.0; adUn[47] = 8.0; adUn[48] = 23.0; adUn[49] = 1.5; adUn[50] = 5.0; adUn[51] = -0.5; adUn[52] = 4.0; adUn[53] = 7.0; adUn[54] = 3.0; adUn[55] = 0.0; adUn[56] = 1.0; adUn[57] = 0.0; memcpy(pDetail->adAn, adAn, sizeof(adAn)); memcpy(pDetail->adUn, adUn, sizeof(adUn)); for (int j = 0; j < NUMBEROFCOMPONENTS; j++) { for (int k = j; k < NUMBEROFCOMPONENTS; k++) { pDetail->adTable6Eij[j][k] = 1.0; pDetail->adTable6Uij[j][k] = 1.0; pDetail->adTable6Kij[j][k] = 1.0; pDetail->adTable6Gij[j][k] = 1.0; } } pDetail->adTable6Eij[0][1] = 0.971640; pDetail->adTable6Eij[0][2] = 0.960644; pDetail->adTable6Eij[0][4] = 0.994635; pDetail->adTable6Eij[0][5] = 0.708218; pDetail->adTable6Eij[0][6] = 0.931484; pDetail->adTable6Eij[0][7] = 1.170520; pDetail->adTable6Eij[0][8] = 0.990126; pDetail->adTable6Eij[0][10] = 1.019530; pDetail->adTable6Eij[0][11] = 0.989844; pDetail->adTable6Eij[0][12] = 1.002350; pDetail->adTable6Eij[0][13] = 0.999268; pDetail->adTable6Eij[0][14] = 1.107274; pDetail->adTable6Eij[0][15] = 0.880880; pDetail->adTable6Eij[0][16] = 0.880973; pDetail->adTable6Eij[0][17] = 0.881067; pDetail->adTable6Eij[0][18] = 0.881161; pDetail->adTable6Eij[1][2] = 1.022740; pDetail->adTable6Eij[1][3] = 0.970120; pDetail->adTable6Eij[1][4] = 0.945939; pDetail->adTable6Eij[1][5] = 0.746954; pDetail->adTable6Eij[1][6] = 0.902271; pDetail->adTable6Eij[1][7] = 1.086320; pDetail->adTable6Eij[1][8] = 1.005710; pDetail->adTable6Eij[1][9] = 1.021000; pDetail->adTable6Eij[1][10] = 0.946914; pDetail->adTable6Eij[1][11] = 0.973384; pDetail->adTable6Eij[1][12] = 0.959340; pDetail->adTable6Eij[1][13] = 0.945520; pDetail->adTable6Eij[2][3] = 0.925053; pDetail->adTable6Eij[2][4] = 0.960237; pDetail->adTable6Eij[2][5] = 0.849408; pDetail->adTable6Eij[2][6] = 0.955052; pDetail->adTable6Eij[2][7] = 1.281790; pDetail->adTable6Eij[2][8] = 1.500000; pDetail->adTable6Eij[2][10] = 0.906849; pDetail->adTable6Eij[2][11] = 0.897362; pDetail->adTable6Eij[2][12] = 0.726255; pDetail->adTable6Eij[2][13] = 0.859764; pDetail->adTable6Eij[2][14] = 0.855134; pDetail->adTable6Eij[2][15] = 0.831229; pDetail->adTable6Eij[2][16] = 0.808310; pDetail->adTable6Eij[2][17] = 0.786323; pDetail->adTable6Eij[2][18] = 0.765171; pDetail->adTable6Eij[3][4] = 1.022560; pDetail->adTable6Eij[3][5] = 0.693168; pDetail->adTable6Eij[3][6] = 0.946871; pDetail->adTable6Eij[3][7] = 1.164460; pDetail->adTable6Eij[3][11] = 1.013060; pDetail->adTable6Eij[3][13] = 1.005320; pDetail->adTable6Eij[4][7] = 1.034787; pDetail->adTable6Eij[4][11] = 1.004900; pDetail->adTable6Eij[6][14] = 1.008692; pDetail->adTable6Eij[6][15] = 1.010126; pDetail->adTable6Eij[6][16] = 1.011501; pDetail->adTable6Eij[6][17] = 1.012821; pDetail->adTable6Eij[6][18] = 1.014089; pDetail->adTable6Eij[7][8] = 1.100000; pDetail->adTable6Eij[7][10] = 1.300000; pDetail->adTable6Eij[7][11] = 1.300000; pDetail->adTable6Uij[0][1] = 0.886106; pDetail->adTable6Uij[0][2] = 0.963827; pDetail->adTable6Uij[0][4] = 0.990877; pDetail->adTable6Uij[0][6] = 0.736833; pDetail->adTable6Uij[0][7] = 1.156390; pDetail->adTable6Uij[0][11] = 0.992291; pDetail->adTable6Uij[0][13] = 1.003670; pDetail->adTable6Uij[0][14] = 1.302576; pDetail->adTable6Uij[0][15] = 1.191904; pDetail->adTable6Uij[0][16] = 1.205769; pDetail->adTable6Uij[0][17] = 1.219634; pDetail->adTable6Uij[0][18] = 1.233498; pDetail->adTable6Uij[1][2] = 0.835058; pDetail->adTable6Uij[1][3] = 0.816431; pDetail->adTable6Uij[1][4] = 0.915502; pDetail->adTable6Uij[1][6] = 0.993476; pDetail->adTable6Uij[1][7] = 0.408838; pDetail->adTable6Uij[1][11] = 0.993556; pDetail->adTable6Uij[2][3] = 0.969870; pDetail->adTable6Uij[2][6] = 1.045290; pDetail->adTable6Uij[2][8] = 0.900000; pDetail->adTable6Uij[2][14] = 1.066638; pDetail->adTable6Uij[2][15] = 1.077634; pDetail->adTable6Uij[2][16] = 1.088178; pDetail->adTable6Uij[2][17] = 1.098291; pDetail->adTable6Uij[2][18] = 1.108021; pDetail->adTable6Uij[3][4] = 1.065173; pDetail->adTable6Uij[3][6] = 0.971926; pDetail->adTable6Uij[3][7] = 1.616660; pDetail->adTable6Uij[3][10] = 1.250000; pDetail->adTable6Uij[3][11] = 1.250000; pDetail->adTable6Uij[3][12] = 1.250000; pDetail->adTable6Uij[3][13] = 1.250000; pDetail->adTable6Uij[6][14] = 1.028973; pDetail->adTable6Uij[6][15] = 1.033754; pDetail->adTable6Uij[6][16] = 1.038338; pDetail->adTable6Uij[6][17] = 1.042735; pDetail->adTable6Uij[6][18] = 1.046966; pDetail->adTable6Kij[0][1] = 1.003630; pDetail->adTable6Kij[0][2] = 0.995933; pDetail->adTable6Kij[0][4] = 1.007619; pDetail->adTable6Kij[0][6] = 1.000080; pDetail->adTable6Kij[0][7] = 1.023260; pDetail->adTable6Kij[0][11] = 0.997596; pDetail->adTable6Kij[0][13] = 1.002529; pDetail->adTable6Kij[0][14] = 0.982962; pDetail->adTable6Kij[0][15] = 0.983565; pDetail->adTable6Kij[0][16] = 0.982707; pDetail->adTable6Kij[0][17] = 0.981849; pDetail->adTable6Kij[0][18] = 0.980991; pDetail->adTable6Kij[1][2] = 0.982361; pDetail->adTable6Kij[1][3] = 1.007960; pDetail->adTable6Kij[1][6] = 0.942596; pDetail->adTable6Kij[1][7] = 1.032270; pDetail->adTable6Kij[2][3] = 1.008510; pDetail->adTable6Kij[2][6] = 1.007790; pDetail->adTable6Kij[2][14] = 0.910183; pDetail->adTable6Kij[2][15] = 0.895362; pDetail->adTable6Kij[2][16] = 0.881152; pDetail->adTable6Kij[2][17] = 0.867520; pDetail->adTable6Kij[2][18] = 0.854406; pDetail->adTable6Kij[3][4] = 0.986893; pDetail->adTable6Kij[3][6] = 0.999969; pDetail->adTable6Kij[3][7] = 1.020340; pDetail->adTable6Kij[6][14] = 0.968130; pDetail->adTable6Kij[6][15] = 0.962870; pDetail->adTable6Kij[6][16] = 0.957828; pDetail->adTable6Kij[6][17] = 0.952441; pDetail->adTable6Kij[6][18] = 0.948338; pDetail->adTable6Gij[0][2] = 0.807653; pDetail->adTable6Gij[0][7] = 1.957310; pDetail->adTable6Gij[1][2] = 0.982746; pDetail->adTable6Gij[2][3] = 0.370296; pDetail->adTable6Gij[2][5] = 1.673090; const double adTableHhvMol[4][NUMBEROFCOMPONENTS] = { { 892.97, 0, 0, 1564.34, 2224.01, 45.074, 562.94, 286.63, 282.8, 0, 2874.2, 2883.82, 3535.98, 3542.89, 4203.23, 4862.87, 5522.4, 6182.91, 6842.69, 0, 0 }, { 891.56, 0, 0, 1562.14, 2221.1, 44.433, 562.38, 286.15, 282.91, 0, 2870.58, 2879.76, 3531.68, 3538.6, 4198.24, 4857.18, 5516.01, 6175.82, 6834.9, 0, 0 }, { 891.09, 0, 0, 1561.41, 2220.13, 44.224, 562.19, 285.99, 282.95, 0, 2869.38, 2878.57, 3530.24, 3537.17, 4196.58, 4855.29, 5513.88, 6173.46, 6832.31, 0, 0 }, { 890.63, 0, 0, 1560.69, 2219.17, 44.016, 562.01, 285.83, 282.98, 0, 2868.2, 2877.4, 3528.83, 3535.77, 4194.95, 4853.43, 5511.8, 6171.15, 6829.77, 0, 0 } }; memcpy(pDetail->adTableHhvMol, adTableHhvMol, sizeof(adTableHhvMol)); const double adTableLhvMol[4][NUMBEROFCOMPONENTS] = { { 802.82, 0, 0, 1429.12, 2043.71, 0, 517.87, 241.56, 282.8, 0, 2648.83, 2658.45, 3265.54, 3272.45, 3887.71, 4502.28, 5116.73, 5732.17, 6346.88, 0, 0 }, { 802.69, 0, 0, 1428.84, 2043.37, 0, 517.95, 241.72, 282.91, 0, 2648.42, 2657.6, 3265.08, 3272, 3887.21, 4501.72, 5116.11, 5731.49, 6346.14, 0, 0 }, { 802.65, 0, 0, 1428.74, 2043.23, 0, 517.97, 241.76, 282.95, 0, 2648.26, 2657.45, 3264.89, 3271.83, 3887.01, 4501.49, 5115.87, 5731.22, 6345.85, 0, 0 }, { 802.6, 0, 0, 1428.64, 2043.11, 0, 517.99, 241.81, 282.98, 0, 2648.12, 2657.32, 3264.73, 3271.67, 3886.84, 4501.3, 5115.66, 5730.99, 6345.59, 0, 0 } }; memcpy(pDetail->adTableLhvMol, adTableLhvMol, sizeof(adTableLhvMol)); return 0; } void Detail_paramdl(Detail *pDetail) { for (int j = 0; j < NUMBEROFCOMPONENTS; j++) { pDetail->adTable5Qi[j] = 0.0; pDetail->adTable5Fi[j] = 0.0; pDetail->adTable5Si[j] = 0.0; pDetail->adTable5Wi[j] = 0.0; } pDetail->adTable5Qi[2] = 0.690000; pDetail->adTable5Qi[5] = 1.067750; pDetail->adTable5Qi[6] = 0.633276; pDetail->adTable5Fi[7] = 1.0000; pDetail->adTable5Si[5] = 1.5822; pDetail->adTable5Si[6] = 0.3900; pDetail->adTable5Wi[5] = 1.0000; for (int j = pDetail->iNCC - 1; j >= 0; j--) { const double adTable5Ki[21] = { 0.4619255, 0.4479153, 0.4557489, 0.5279209, 0.5837490, 0.3825868, 0.4618263, 0.3514916, 0.4533894, 0.4186954, 0.6406937, 0.6341423, 0.6738577, 0.6798307, 0.7175118, 0.7525189, 0.7849550, 0.8152731, 0.8437826, 0.3589888, 0.4216551 }; const double adTable5Mri[21] = { 16.0430, 28.0135, 44.0100, 30.0700, 44.0970, 18.0153, 34.0820, 2.0159, 28.0100, 31.9988, 58.1230, 58.1230, 72.1500, 72.1500, 86.1770, 100.2040, 114.2310, 128.2580, 142.2850, 4.0026, 39.9480 }; pDetail->dMri[j] = adTable5Mri[pDetail->aiCID[j]]; pDetail->dKi[j] = adTable5Ki[pDetail->aiCID[j]]; } for (int j = 0; j < pDetail->iNCC; j++) { const double adTable5Gi[21] = { 0.000000, 0.027815, 0.189065, 0.079300, 0.141239, 0.332500, 0.088500, 0.034369, 0.038953, 0.021000, 0.256692, 0.281835, 0.332267, 0.366911, 0.289731, 0.337542, 0.383381, 0.427354, 0.469659, 0.000000, 0.000000 }; const double adTable5Ei[21] = { 151.318300, 99.737780, 241.960600, 244.166700, 298.118300, 514.015600, 296.355000, 26.957940, 105.534800, 122.766700, 324.068900, 337.638900, 365.599900, 370.682300, 402.636293, 427.722630, 450.325022, 470.840891, 489.558373, 2.610111, 119.629900 }; pDetail->dGi[j] = adTable5Gi[pDetail->aiCID[j]]; pDetail->dEi[j] = adTable5Ei[pDetail->aiCID[j]]; } for (int j = 0; j < pDetail->iNCC; j++) { pDetail->dQi[j] = pDetail->adTable5Qi[pDetail->aiCID[j]]; pDetail->dFi[j] = 0.0; if (pDetail->aiCID[j] == 7) pDetail->dFi[j] = pDetail->adTable5Fi[7]; pDetail->dSi[j] = pDetail->adTable5Si[pDetail->aiCID[j]]; pDetail->dWi[j] = pDetail->adTable5Wi[pDetail->aiCID[j]]; } for (int j = 0; j < pDetail->iNCC; j++) { for (int k = j; k < pDetail->iNCC; k++) { pDetail->dUij[j][k] = pDetail->adTable6Uij[pDetail->aiCID[j]][pDetail->aiCID[k]]; pDetail->dKij[j][k] = pDetail->adTable6Kij[pDetail->aiCID[j]][pDetail->aiCID[k]]; pDetail->dEij[j][k] = pDetail->adTable6Eij[pDetail->aiCID[j]][pDetail->aiCID[k]]; pDetail->dGij[j][k] = pDetail->adTable6Gij[pDetail->aiCID[j]][pDetail->aiCID[k]]; } } } void Detail_chardl(Detail *pDetail, NGParSTRUCT *ptNGPar) { double tmfrac = 0.0; for (int j = 0; j < pDetail->iNCC; j++) { tmfrac += pDetail->dXi[j]; } for (int j = 0; j < pDetail->iNCC; j++) { pDetail->dXi[j] /= tmfrac; } for (int j = 0; j < 18; j++) { pDetail->adBcoef[j] = 0.0; } double k5p0 = 0.0, k2p5 = 0.0, u5p0 = 0.0, u2p5 = 0.0; pDetail->dW = 0.0; double q1p0 = 0.0; pDetail->dF = 0.0; ptNGPar->dMrx = 0.0; ptNGPar->dHhvMol = 0.0; ptNGPar->dLhvMol = 0.0; for (int i = 0; i < pDetail->iNCC; i++) { ptNGPar->dMrx += pDetail->dXi[i] * pDetail->dMri[i]; switch (ptNGPar->dCbtj) { case 2: ptNGPar->dHhvMol += pDetail->adTableHhvMol[0][i] * ptNGPar->adMixture[i]; ptNGPar->dLhvMol += pDetail->adTableHhvMol[0][i] * ptNGPar->adMixture[i]; break; case 1: ptNGPar->dHhvMol += pDetail->adTableHhvMol[1][i] * ptNGPar->adMixture[i]; ptNGPar->dLhvMol += pDetail->adTableLhvMol[1][i] * ptNGPar->adMixture[i]; break; case 0: ptNGPar->dHhvMol += pDetail->adTableHhvMol[2][i] * ptNGPar->adMixture[i]; ptNGPar->dLhvMol += pDetail->adTableLhvMol[2][i] * ptNGPar->adMixture[i]; break; default: ; } k2p5 += pDetail->dXi[i] * pow(pDetail->dKi[i], 2.5); u2p5 += pDetail->dXi[i] * pow(pDetail->dEi[i], 2.5); pDetail->dW += pDetail->dXi[i] * pDetail->dGi[i]; q1p0 += pDetail->dXi[i] * pDetail->dQi[i]; pDetail->dF += pDetail->dXi[i] * pDetail->dXi[i] * pDetail->dFi[i]; for (int j = i; j < pDetail->iNCC; j++) { const double Xij = (i == j) ? pDetail->dXi[i] * pDetail->dXi[j] : 2.0 * pDetail->dXi[i] * pDetail->dXi[j]; if (pDetail->dKij[i][j] != 1.0) { const double term = pow(pDetail->dKi[i] * pDetail->dKi[j], 2.5); k5p0 += Xij * (pow(pDetail->dKij[i][j], 5.0) - 1.0) * term; } if (pDetail->dUij[i][j] != 1.0) { const double term = pow(pDetail->dEi[i] * pDetail->dEi[j], 2.5); u5p0 += Xij * (pow(pDetail->dUij[i][j], 5.0) - 1.0) * term; } if (pDetail->dGij[i][j] != 1.0) { const double avgG = (pDetail->dGi[i] + pDetail->dGi[j]) / 2.0; pDetail->dW += Xij * (pDetail->dGij[i][j] - 1.0) * avgG; } const double Eij = pDetail->dEij[i][j] * sqrt(pDetail->dEi[i] * pDetail->dEi[j]); const double Gij = pDetail->dGij[i][j] * (pDetail->dGi[i] + pDetail->dGi[j]) / 2.0; const double e0p5 = sqrt(Eij); const double e2p0 = Eij * Eij; const double e3p0 = Eij * e2p0; const double e3p5 = e3p0 * e0p5; const double e4p5 = Eij * e3p5; const double e6p0 = e3p0 * e3p0; const double e7p5 = e4p5 * Eij * e2p0; const double e9p5 = e7p5 * e2p0; const double e11p0 = e4p5 * e4p5 * e2p0; const double e12p0 = e11p0 * Eij; const double e12p5 = e12p0 * e0p5; const double s3 = Xij * pow(pow(pDetail->dKi[i], 3.0) * pow(pDetail->dKi[j], 3.0), 0.5); pDetail->adBcoef[0] += s3; pDetail->adBcoef[1] += s3 * e0p5; pDetail->adBcoef[2] += s3 * Eij; pDetail->adBcoef[3] += s3 * e3p5; pDetail->adBcoef[4] += s3 * Gij / e0p5; pDetail->adBcoef[5] += s3 * Gij * e4p5; pDetail->adBcoef[6] += s3 * pDetail->dQi[i] * pDetail->dQi[j] * e0p5; pDetail->adBcoef[7] += s3 * pDetail->dSi[i] * pDetail->dSi[j] * e7p5; pDetail->adBcoef[8] += s3 * pDetail->dSi[i] * pDetail->dSi[j] * e9p5; pDetail->adBcoef[9] += s3 * pDetail->dWi[i] * pDetail->dWi[j] * e6p0; pDetail->adBcoef[10] += s3 * pDetail->dWi[i] * pDetail->dWi[j] * e12p0; pDetail->adBcoef[11] += s3 * pDetail->dWi[i] * pDetail->dWi[j] * e12p5; pDetail->adBcoef[12] += s3 * pDetail->dFi[i] * pDetail->dFi[j] / e6p0; pDetail->adBcoef[13] += s3 * e2p0; pDetail->adBcoef[14] += s3 * e3p0; pDetail->adBcoef[15] += s3 * pDetail->dQi[i] * pDetail->dQi[j] * e2p0; pDetail->adBcoef[16] += s3 * e2p0; pDetail->adBcoef[17] += s3 * e11p0; } } ptNGPar->dHhvMol = ptNGPar->dHhvMol ; ptNGPar->dLhvMol = ptNGPar->dLhvMol ; for (int i = 0; i < 18; i++) { pDetail->adBcoef[i] *= pDetail->adAn[i]; } pDetail->dKp3 = pow(k5p0 + pow(k2p5, 2.0), 0.6); pDetail->dU = pow(u5p0 + pow(u2p5, 2.0), 0.2); pDetail->dQp2 = q1p0 * q1p0; } void Detail_bvir(Detail *pDetail) { pDetail->dB = pDetail->ddBdT = pDetail->dd2BdT2 = 0.0; const double t = pDetail->dT; const double t0p5 = sqrt(t); const double t2p0 = t * t; const double t3p0 = t * t2p0; const double t3p5 = t3p0 * t0p5; const double t4p5 = t * t3p5; const double t6p0 = t3p0 * t3p0; const double t11p0 = t4p5 * t4p5 * t2p0; const double t7p5 = t6p0 * t * t0p5; const double t9p5 = t7p5 * t2p0; const double t12p0 = t9p5 * t0p5 * t2p0; const double t12p5 = t12p0 * t0p5; // double t1p5 = t * t0p5; // double t4p0 = t2p0 * t2p0; double Bx[18]; Bx[0] = pDetail->adBcoef[0]; Bx[1] = pDetail->adBcoef[1] / t0p5; Bx[2] = pDetail->adBcoef[2] / t; Bx[3] = pDetail->adBcoef[3] / t3p5; Bx[4] = pDetail->adBcoef[4] * t0p5; Bx[5] = pDetail->adBcoef[5] / t4p5; Bx[6] = pDetail->adBcoef[6] / t0p5; Bx[7] = pDetail->adBcoef[7] / t7p5; Bx[8] = pDetail->adBcoef[8] / t9p5; Bx[9] = pDetail->adBcoef[9] / t6p0; Bx[10] = pDetail-> adBcoef[10] / t12p0; Bx[11] = pDetail-> adBcoef[11] / t12p5; Bx[12] = pDetail-> adBcoef[12] * t6p0; Bx[13] = pDetail-> adBcoef[13] / t2p0; Bx[14] = pDetail-> adBcoef[14] / t3p0; Bx[15] = pDetail-> adBcoef[15] / t2p0; Bx[16] = pDetail-> adBcoef[16] / t2p0; Bx[17] = pDetail-> adBcoef[17] / t11p0; for (int i = 0; i < 18; i++) { pDetail->dB += Bx[i]; } for (int i = 0; i < 18; i++) { if (pDetail->adUn[i] != 0.0) { Bx[i] *= pDetail->adUn[i] ; } } for (int i = 0; i < 18; i++) { if (pDetail->adUn[i] != 0.0) { pDetail->ddBdT += Bx[i]/t; } } pDetail->ddBdT = -pDetail->ddBdT; for (int i = 0; i < 18; i++) { if (pDetail->adUn[i] != 0.0 && pDetail->adUn[i] != -1.0) { Bx[i] *= (pDetail->adUn[i] + 1.0) ; } } for (int i = 0; i < 18; i++) { if (pDetail->adUn[i] != 0.0 && pDetail->adUn[i] != -1.0) { pDetail->dd2BdT2 += Bx[i]/ t2p0; } } } void Detail_temp(Detail *pDetail) { Detail_bvir(pDetail); const double tr = pDetail->dT / pDetail->dU; const double tr0p5 = sqrt(tr); const double tr1p5 = tr * tr0p5; const double tr2p0 = tr * tr; const double tr3p0 = tr * tr2p0; const double tr4p0 = tr * tr3p0; const double tr5p0 = tr * tr4p0; const double tr6p0 = tr * tr5p0; const double tr7p0 = tr * tr6p0; const double tr8p0 = tr * tr7p0; const double tr9p0 = tr * tr8p0; const double tr11p0 = tr6p0 * tr5p0; const double tr13p0 = tr6p0 * tr7p0; const double tr21p0 = tr9p0 * tr9p0 * tr3p0; const double tr22p0 = tr * tr21p0; const double tr23p0 = tr * tr22p0; pDetail->adFn[12] = pDetail->adAn[12] * pDetail->dF * tr6p0; pDetail->adFn[13] = pDetail->adAn[13] / tr2p0; pDetail->adFn[14] = pDetail->adAn[14] / tr3p0; pDetail->adFn[15] = pDetail->adAn[15] * pDetail->dQp2 / tr2p0; pDetail->adFn[16] = pDetail->adAn[16] / tr2p0; pDetail->adFn[17] = pDetail->adAn[17] / tr11p0; pDetail->adFn[18] = pDetail->adAn[18] * tr0p5; pDetail->adFn[19] = pDetail->adAn[19] / tr0p5; pDetail->adFn[20] = pDetail->adAn[20]; pDetail->adFn[21] = pDetail->adAn[21] / tr4p0; pDetail->adFn[22] = pDetail->adAn[22] / tr6p0; pDetail->adFn[23] = pDetail->adAn[23] / tr21p0; pDetail->adFn[24] = pDetail->adAn[24] * pDetail->dW / tr23p0; pDetail->adFn[25] = pDetail->adAn[25] * pDetail->dQp2 / tr22p0; pDetail->adFn[26] = pDetail->adAn[26] * pDetail->dF * tr; pDetail->adFn[27] = pDetail->adAn[27] * pDetail->dQp2 * tr0p5; pDetail->adFn[28] = pDetail->adAn[28] * pDetail->dW / tr7p0; pDetail->adFn[29] = pDetail->adAn[29] * pDetail->dF * tr; pDetail->adFn[30] = pDetail->adAn[30] / tr6p0; pDetail->adFn[31] = pDetail->adAn[31] * pDetail->dW / tr4p0; pDetail->adFn[32] = pDetail->adAn[32] * pDetail->dW / tr; pDetail->adFn[33] = pDetail->adAn[33] * pDetail->dW / tr9p0; pDetail->adFn[34] = pDetail->adAn[34] * pDetail->dF * tr13p0; pDetail->adFn[35] = pDetail->adAn[35] / tr21p0; pDetail->adFn[36] = pDetail->adAn[36] * pDetail->dQp2 / tr8p0; pDetail->adFn[37] = pDetail->adAn[37] * tr0p5; pDetail->adFn[38] = pDetail->adAn[38]; pDetail->adFn[39] = pDetail->adAn[39] / tr2p0; pDetail->adFn[40] = pDetail->adAn[40] / tr7p0; pDetail->adFn[41] = pDetail->adAn[41] * pDetail->dQp2 / tr9p0; pDetail->adFn[42] = pDetail->adAn[42] / tr22p0; pDetail->adFn[43] = pDetail->adAn[43] / tr23p0; pDetail->adFn[44] = pDetail->adAn[44] / tr; pDetail->adFn[45] = pDetail->adAn[45] / tr9p0; pDetail->adFn[46] = pDetail->adAn[46] * pDetail->dQp2 / tr3p0; pDetail->adFn[47] = pDetail->adAn[47] / tr8p0; pDetail->adFn[48] = pDetail->adAn[48] * pDetail->dQp2 / tr23p0; pDetail->adFn[49] = pDetail->adAn[49] / tr1p5; pDetail->adFn[50] = pDetail->adAn[50] * pDetail->dW / tr5p0; pDetail->adFn[51] = pDetail->adAn[51] * pDetail->dQp2 * tr0p5; pDetail->adFn[52] = pDetail->adAn[52] / tr4p0; pDetail->adFn[53] = pDetail->adAn[53] * pDetail->dW / tr7p0; pDetail->adFn[54] = pDetail->adAn[54] / tr3p0; pDetail->adFn[55] = pDetail->adAn[55] * pDetail->dW; pDetail->adFn[56] = pDetail->adAn[56] / tr; pDetail->adFn[57] = pDetail->adAn[57] * pDetail->dQp2; } void Detail_ddetail(Detail *pDetail, NGParSTRUCT *ptNGPar) { double xnumer, xdenom; const int imax = 150; pDetail->dRho = 0.0; Detail_braket(pDetail, ptNGPar); if (ptNGPar->lStatus == MAX_NUM_OF_ITERATIONS_EXCEEDED || ptNGPar->lStatus == NEGATIVE_DENSITY_DERIVATIVE) { return; } double x1 = pDetail->dRhoL; double x2 = pDetail->dRhoH; double y1 = pDetail->dPRhoL - pDetail->dP; double y2 = pDetail->dPRhoH - pDetail->dP; double delx = x1 - x2; double delprv = delx; double x3 = x1; double y3 = y1; for (int i = 0; i < imax; i++) { const double epsmin = 1.e-7; const double epsr = 1.e-6; const double epsp = 1.e-6; if (y2 * y3 > 0.0) { x3 = x1; y3 = y1; delx = x1 - x2; delprv = delx; } if (fabs(y3) < fabs(y2)) { x1 = x2; x2 = x3; x3 = x1; y1 = y2; y2 = y3; y3 = y1; } const double delmin = epsmin * fabs(x2); const double delbis = 0.5 * (x3 - x2); if (fabs(delprv) < delmin || fabs(y1) < fabs(y2)) { delx = delbis; delprv = delbis; } else { if (x3 != x1) { const double y2my3 = y2 - y3; const double y3my1 = y3 - y1; const double y1my2 = y1 - y2; xdenom = -(y1my2) * (y2my3) * (y3my1); xnumer = x1 * y2 * y3 * (y2my3) + x2 * y3 * y1 * (y3my1) + x3 * y1 * y2 * (y1my2) - x2 * xdenom; } else { xnumer = (x2 - x1) * y2; xdenom = y1 - y2; } if (2.0 * fabs(xnumer) < fabs(delprv * xdenom)) { delprv = delx; delx = xnumer / xdenom; } else { delx = delbis; delprv = delbis; } } if ((fabs(y2) < epsp * pDetail->dP) && (fabs(delx) < epsr * fabs(x2))) { pDetail->dRho = x2 + delx; return; } if (fabs(delx) < delmin) { const double sgndel = delbis / fabs(delbis); delx = 1.0000009 * sgndel * delmin; delprv = delx; } const double boundn = delx * (x2 + delx - x3); if (boundn > 0.0) { delx = delbis; delprv = delbis; } x1 = x2; y1 = y2; x2 = x2 + delx; Detail_pdetail(pDetail, x2); y2 = pDetail->dPCalc - pDetail->dP; } ptNGPar->lStatus = MAX_NUM_OF_ITERATIONS_EXCEEDED; pDetail->dRho = x2; } void Detail_braket(Detail *pDetail, NGParSTRUCT *ptNGPar) { double rho2; const int imax = 200; double rho1 = 0.0; double p1 = 0.0; double rhomax = 1.0 / pDetail->dKp3; if (pDetail->dT > 1.2593 * pDetail->dU) rhomax = 20.0 * rhomax; const double videal = RGASKJ * pDetail->dT / pDetail->dP; if (fabs(pDetail->dB) < (0.167 * videal)) { rho2 = 0.95 / (videal + pDetail->dB); } else { rho2 = 1.15 / videal; } double del = rho2 / 20.0; for (int it = 0; it < imax; it++) { if (rho2 > rhomax && ptNGPar->lStatus != MAX_DENSITY_IN_BRAKET_EXCEEDED) { ptNGPar->lStatus = MAX_DENSITY_IN_BRAKET_EXCEEDED; del = 0.01 * (rhomax - rho1) + (pDetail->dP / (RGASKJ * pDetail->dT)) / 20.0; rho2 = rho1 + del; continue; } Detail_pdetail(pDetail, rho2); const double p2 = pDetail->dPCalc; if (p2 > pDetail->dP) { pDetail->dRhoL = rho1; pDetail->dPRhoL = p1; pDetail->dRhoH = rho2; pDetail->dPRhoH = p2; ptNGPar->lStatus = NORMAL; return; } else if (p2 > p1) { if (ptNGPar->lStatus == MAX_DENSITY_IN_BRAKET_EXCEEDED) del *= 2.0; rho1 = rho2; p1 = p2; rho2 = rho1 + del; continue; } else { ptNGPar->lStatus = NEGATIVE_DENSITY_DERIVATIVE; pDetail->dRho = rho1; return; } } ptNGPar->lStatus = MAX_NUM_OF_ITERATIONS_EXCEEDED; pDetail->dRho = rho2; } void Detail_pdetail(Detail *pDetail, double dD) { pDetail->dPCalc = Detail_zdetail(pDetail, dD) * dD * RGASKJ * pDetail->dT; } double Detail_zdetail(Detail *pDetail, double d) { const double D1 = pDetail->dKp3 * d; const double D2 = D1 * D1; const double D3 = D2 * D1; const double D4 = D3 * D1; const double D5 = D4 * D1; const double D6 = D5 * D1; const double D7 = D6 * D1; const double D8 = D7 * D1; const double D9 = D8 * D1; const double exp1 = exp(-D1); const double exp2 = exp(-D2); const double exp3 = exp(-D3); const double exp4 = exp(-D4); pDetail->dZ = 1.0 + pDetail->dB * d + pDetail->adFn[12] * D1 * (exp3 - 1.0 - 3.0 * D3 * exp3) + (pDetail->adFn[13] + pDetail->adFn[14] + pDetail->adFn[15]) * D1 * (exp2 - 1.0 - 2.0 * D2 * exp2) + (pDetail->adFn[16] + pDetail->adFn[17]) * D1 * (exp4 - 1.0 - 4.0 * D4 * exp4) + (pDetail->adFn[18] + pDetail->adFn[19]) * D2 * 2.0 + (pDetail->adFn[20] + pDetail->adFn[21] + pDetail->adFn[22]) * D2 * (2.0 - 2.0 * D2) * exp2 + (pDetail->adFn[23] + pDetail->adFn[24] + pDetail->adFn[25]) * D2 * (2.0 - 4.0 * D4) * exp4 + pDetail->adFn[26] * D2 * (2.0 - 4.0 * D4) * exp4 + pDetail->adFn[27] * D3 * 3.0 + (pDetail->adFn[28] + pDetail->adFn[29]) * D3 * (3.0 - D1) * exp1 + (pDetail->adFn[30] + pDetail->adFn[31]) * D3 * (3.0 - 2.0 * D2) * exp2 + (pDetail->adFn[32] + pDetail->adFn[33]) * D3 * (3.0 - 3.0 * D3) * exp3 + (pDetail->adFn[34] + pDetail->adFn[35] + pDetail->adFn[36]) * D3 * (3.0 - 4.0 * D4) * exp4 + (pDetail->adFn[37] + pDetail->adFn[38]) * D4 * 4.0 + (pDetail->adFn[39] + pDetail->adFn[40] + pDetail->adFn[41]) * D4 * (4.0 - 2.0 * D2) * exp2 + (pDetail->adFn[42] + pDetail->adFn[43]) * D4 * (4.0 - 4.0 * D4) * exp4 + pDetail->adFn[44] * D5 * 5.0 + (pDetail->adFn[45] + pDetail->adFn[46]) * D5 * (5.0 - 2.0 * D2) * exp2 + (pDetail->adFn[47] + pDetail->adFn[48]) * D5 * (5.0 - 4.0 * D4) * exp4 + pDetail->adFn[49] * D6 * 6.0 + pDetail->adFn[50] * D6 * (6.0 - 2.0 * D2) * exp2 + pDetail->adFn[51] * D7 * 7.0 + pDetail->adFn[52] * D7 * (7.0 - 2.0 * D2) * exp2 + pDetail->adFn[53] * D8 * (8.0 - D1) * exp1 + (pDetail->adFn[54] + pDetail->adFn[55]) * D8 * (8.0 - 2.0 * D2) * exp2 + (pDetail->adFn[56] + pDetail->adFn[57]) * D9 * (9.0 - 2.0 * D2) * exp2; return pDetail->dZ; } double Detail_dZdT(Detail *pDetail, double d) { const double D1 = pDetail->dKp3 * d; const double D2 = D1 * D1; const double D3 = D2 * D1; const double D4 = D3 * D1; const double D5 = D4 * D1; const double D6 = D5 * D1; const double D7 = D6 * D1; const double D8 = D7 * D1; const double exp1 = exp(-D1); const double exp2 = exp(-D2); const double exp3 = exp(-D3); const double exp4 = exp(-D4); for (int i = 12; i < 58; i++) { if (pDetail->adUn[i] && pDetail->adFn[i]) { pDetail->fx[i] = (pDetail->adFn[i] * pDetail->adUn[i] * D1) / pDetail->dT; } else { pDetail->fx[i] = 0.0; } } pDetail->ddZdT = d * pDetail->ddBdT; if (pDetail->dF) pDetail->ddZdT += pDetail->fx[12] - (pDetail->fx[12] * (1.0 - 3.0 * D3) * exp3); double tmp = (1.0 - 2.0 * D2) * exp2; pDetail->ddZdT += (pDetail->fx[13] - (pDetail->fx[13] * tmp)); pDetail->ddZdT += pDetail->fx[14] - (pDetail->fx[14] * tmp); pDetail->ddZdT += pDetail->fx[15] - (pDetail->fx[15] * tmp); tmp = (1.0 - 4.0 * D4) * exp4; pDetail->ddZdT += pDetail->fx[16] - (pDetail->fx[16] * tmp); pDetail->ddZdT += pDetail->fx[17] - (pDetail->fx[17] * tmp); pDetail->ddZdT = pDetail->ddZdT - (pDetail->fx[18] + pDetail->fx[19]) * D1 * 2.0 - (pDetail->fx[21] + pDetail->fx[22]) * D1 * (2.0 - 2.0 * D2) * exp2 - (pDetail->fx[23] + pDetail->fx[24] + pDetail->fx[25]) * D1 * (2.0 - 4.0 * D4) * exp4 - pDetail->fx[26] * D1 * (2.0 - 4.0 * D4) * exp4 - pDetail->fx[27] * D2 * 3.0 - (pDetail->fx[28] + pDetail->fx[29]) * D2 * (3.0 - D1) * exp1 - (pDetail->fx[30] + pDetail->fx[31]) * D2 * (3.0 - 2.0 * D2) * exp2 - (pDetail->fx[32] + pDetail->fx[33]) * D2 * (3.0 - 3.0 * D3) * exp3 - (pDetail->fx[34] + pDetail->fx[35] + pDetail->fx[36]) * D2 * (3.0 - 4.0 * D4) * exp4 - pDetail->fx[37] * D3 * 4.0 - (pDetail->fx[39] + pDetail->fx[40] + pDetail->fx[41]) * D3 * (4.0 - 2.0 * D2) * exp2 - (pDetail->fx[42] + pDetail->fx[43]) * D3 * (4.0 - 4.0 * D4) * exp4 - pDetail->fx[44] * D4 * 5.0 - (pDetail->fx[45] + pDetail->fx[46]) * D4 * (5.0 - 2.0 * D2) * exp2 - (pDetail->fx[47] + pDetail->fx[48]) * D4 * (5.0 - 4.0 * D4) * exp4 - pDetail->fx[49] * D5 * 6.0 - pDetail->fx[50] * D5 * (6.0 - 2.0 * D2) * exp2 - pDetail->fx[51] * D6 * 7.0 - pDetail->fx[52] * D6 * (7.0 - 2.0 * D2) * exp2 - pDetail->fx[53] * D7 * (8.0 - D1) * exp1 - pDetail->fx[54] * D7 * (8.0 - 2.0 * D2) * exp2 - pDetail->fx[56] * D8 * (9.0 - 2.0 * D2) * exp2; return pDetail->ddZdT; } double Detail_d2ZdT2(Detail *pDetail, double d) { const double D1 = pDetail->dKp3 * d; const double D2 = D1 * D1; const double D3 = D2 * D1; const double D4 = D3 * D1; const double D5 = D4 * D1; const double D6 = D5 * D1; const double D7 = D6 * D1; const double D8 = D7 * D1; const double exp1 = exp(-D1); const double exp2 = exp(-D2); const double exp3 = exp(-D3); const double exp4 = exp(-D4); for (int i = 12; i < 58; i++) { if (pDetail->adUn[i] && pDetail->adFn[i]) { pDetail->fx[i] = (pDetail->adFn[i] * D1 * pDetail->adUn[i] * (pDetail->adUn[i] + 1.0)) / ( pDetail->dT * pDetail->dT); } else { pDetail->fx[i] = 0.0; } } pDetail->dd2ZdT2 = d * pDetail->dd2BdT2; if (pDetail->dF) pDetail->dd2ZdT2 += pDetail->fx[12] - (pDetail->fx[12] * (1.0 - 3.0 * D3) * exp3); double tmp = (1.0 - 2.0 * D2) * exp2; pDetail->dd2ZdT2 += -pDetail->fx[13] + (pDetail->fx[13] * tmp); pDetail->dd2ZdT2 += -pDetail->fx[14] + (pDetail->fx[14] * tmp); pDetail->dd2ZdT2 += -pDetail->fx[15] + (pDetail->fx[15] * tmp); tmp = (1.0 - 4.0 * D4) * exp4; pDetail->dd2ZdT2 += -pDetail->fx[16] + (pDetail->fx[16] * tmp); pDetail->dd2ZdT2 += -pDetail->fx[17] + pDetail->fx[17] * tmp; pDetail->dd2ZdT2 = pDetail->dd2ZdT2 + (pDetail->fx[18] + pDetail->fx[19]) * D1 * 2.0 + (pDetail->fx[21] + pDetail->fx[22]) * D1 * (2.0 - 2.0 * D2) * exp2 + (pDetail->fx[23] + pDetail->fx[24] + pDetail->fx[25]) * D1 * (2.0 - 4.0 * D4) * exp4 + pDetail->fx[26] * D1 * (2.0 - 4.0 * D4) * exp4 + pDetail->fx[27] * D2 * 3.0 + (pDetail->fx[28] + pDetail->fx[29]) * D2 * (3.0 - D1) * exp1 + (pDetail->fx[30] + pDetail->fx[31]) * D2 * (3.0 - 2.0 * D2) * exp2 + (pDetail->fx[32] + pDetail->fx[33]) * D2 * (3.0 - 3.0 * D3) * exp3 + (pDetail->fx[34] + pDetail->fx[35] + pDetail->fx[36]) * D2 * (3.0 - 4.0 * D4) * exp4 + pDetail->fx[37] * D3 * 4.0 + (pDetail->fx[39] + pDetail->fx[40] + pDetail->fx[41]) * D3 * (4.0 - 2.0 * D2) * exp2 + (pDetail->fx[42] + pDetail->fx[43]) * D3 * (4.0 - 4.0 * D4) * exp4 + pDetail->fx[44] * D4 * 5.0 + (pDetail->fx[45] + pDetail->fx[46]) * D4 * (5.0 - 2.0 * D2) * exp2 + (pDetail->fx[47] + pDetail->fx[48]) * D4 * (5.0 - 4.0 * D4) * exp4 + pDetail->fx[49] * D5 * 6.0 + pDetail->fx[50] * D5 * (6.0 - 2.0 * D2) * exp2 + pDetail->fx[51] * D6 * 7.0 + pDetail->fx[52] * D6 * (7.0 - 2.0 * D2) * exp2 + pDetail->fx[53] * D7 * (8.0 - D1) * exp1 + pDetail->fx[54] * D7 * (8.0 - 2.0 * D2) * exp2 + pDetail->fx[56] * D8 * (9.0 - 2.0 * D2) * exp2; return pDetail->dd2ZdT2; } double Detail_dZdD(Detail *pDetail, double d) { double temp, temp1, temp2, temp3; const double D1 = pDetail->dKp3 * d; const double D2 = D1 * D1; const double D3 = D2 * D1; const double D4 = D3 * D1; const double D5 = D4 * D1; const double D6 = D5 * D1; const double D7 = D6 * D1; const double D8 = D7 * D1; const double exp1 = exp(-D1); const double exp2 = exp(-D2); const double exp3 = exp(-D3); const double exp4 = exp(-D4); for (int i = 12; i < 58; i++) { pDetail->fx[i] = pDetail->adFn[i]; } pDetail->ddZdD = pDetail->dB / pDetail->dKp3; if (pDetail->dF) { temp1 = -9.0 * D3 * exp3; temp2 = (1.0 - 3.0 * D3) * exp3; temp3 = -temp2 * 3.0 * D6; temp = temp1 + temp2 + temp3; pDetail->ddZdD += -pDetail->fx[12] + pDetail->fx[12] * temp; } temp1 = -4.0 * D2 * exp2; temp2 = (1.0 - 2.0 * D2) * exp2; temp3 = -temp2 * 2.0 * D2; temp = temp1 + temp2 + temp3; pDetail->ddZdD += -pDetail->fx[13] + pDetail->fx[13] * temp; pDetail->ddZdD += -pDetail->fx[14] + pDetail->fx[14] * temp; pDetail->ddZdD += -pDetail->fx[15] + pDetail->fx[15] * temp; temp1 = -16.0 * D4 * exp4; temp2 = (1.0 - 4.0 * D4) * exp4; temp3 = -temp2 * 4.0 * D4; temp = temp1 + temp2 + temp3; pDetail->ddZdD += -pDetail->fx[16] + pDetail->fx[16] * temp; pDetail->ddZdD += -pDetail->fx[17] + pDetail->fx[17] * temp; temp = 4.0 * D1; pDetail->ddZdD += pDetail->fx[18] * temp; pDetail->ddZdD += pDetail->fx[19] * temp; temp1 = -4.0 * D3 * exp2; temp2 = (2.0 - 2.0 * D2) * 2.0 * D1 * exp2; temp3 = -temp2 * D2; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[20] * temp; pDetail->ddZdD += pDetail->fx[21] * temp; pDetail->ddZdD += pDetail->fx[22] * temp; temp1 = -16.0 * D5 * exp4; temp2 = (2.0 - 4.0 * D4) * 2.0 * D1 * exp4; temp3 = -temp2 * 2.0 * D4; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[23] * temp; pDetail->ddZdD += pDetail->fx[24] * temp; pDetail->ddZdD += pDetail->fx[25] * temp; pDetail->ddZdD += pDetail->fx[26] * temp; temp = 9.0 * D2; pDetail->ddZdD += pDetail->fx[27] * temp; temp = -D3 * exp1 + (3.0 - D1) * 3.0 * D2 * exp1; temp -= (3.0 - D1) * D3 * exp1; pDetail->ddZdD += pDetail->fx[28] * temp; pDetail->ddZdD += pDetail->fx[29] * temp; temp1 = -4.0 * D4 * exp2; temp2 = (3.0 - 2.0 * D2) * 3.0 * D2 * exp2; temp3 = -(3.0 - 2.0 * D2) * 2.0 * D4 * exp2; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[30] * temp; pDetail->ddZdD += pDetail->fx[31] * temp; temp1 = -9.0 * D5 * exp3; temp2 = (3.0 - 3.0 * D3) * 3.0 * D2 * exp3; temp3 = -(3.0 - 3.0 * D3) * 3.0 * D5 * exp3; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[32] * temp; pDetail->ddZdD += pDetail->fx[33] * temp; temp1 = -16.0 * D6 * exp4; temp2 = (3.0 - 4.0 * D4) * 3.0 * D2 * exp4; temp3 = -(3.0 - 4.0 * D4) * D6 * 4.0 * exp4; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[34] * temp; pDetail->ddZdD += pDetail->fx[35] * temp; pDetail->ddZdD += pDetail->fx[36] * temp; temp = 16.0 * D3; pDetail->ddZdD += pDetail->fx[37] * temp; pDetail->ddZdD += pDetail->fx[38] * temp; temp1 = -4.0 * D5 * exp2; temp2 = (4.0 - 2.0 * D2) * 4.0 * D3 * exp2; temp3 = -(4.0 - 2.0 * D2) * 2.0 * D5 * exp2; temp = temp1 + temp2 + temp3; pDetail->ddZdD += pDetail->fx[39] * temp; pDetail->ddZdD += pDetail->fx[40] * temp; pDetail->ddZdD += pDetail->fx[41] * temp; temp = -16.0 * D7 * exp4 + (4.0 - 4.0 * D4) * 4.0 * D3 * exp4; temp -= (4.0 - 4.0 * D4) * D7 * 4.0 * exp4; pDetail->ddZdD += pDetail->fx[42] * temp; pDetail->ddZdD += pDetail->fx[43] * temp; temp = 25.0 * D4; pDetail->ddZdD += pDetail->fx[44] * temp; temp = -4.0 * D6 * exp2 + (5.0 - 2.0 * D2) * 5.0 * D4 * exp2; temp -= (5.0 - 2.0 * D2) * D6 * 2.0 * exp2; pDetail->ddZdD += pDetail->fx[45] * temp; pDetail->ddZdD += pDetail->fx[46] * temp; temp = -16.0 * D8 * exp4 + (5.0 - 4.0 * D4) * 5.0 * D4 * exp4; temp -= (5.0 - 4.0 * D4) * D8 * 4.0 * exp4; pDetail->ddZdD += pDetail->fx[47] * temp; pDetail->ddZdD += pDetail->fx[48] * temp; temp = 36.0 * D5; pDetail->ddZdD += pDetail->fx[49] * temp; temp = -4.0 * D7 * exp2 + (6.0 - 2.0 * D2) * 6.0 * D5 * exp2; temp -= (6.0 - 2.0 * D2) * D7 * 2.0 * exp2; pDetail->ddZdD += pDetail->fx[50] * temp; temp = 49.0 * D6; pDetail->ddZdD += pDetail->fx[51] * temp; temp = -4.0 * D8 * exp2 + (7.0 - 2.0 * D2) * 7.0 * D6 * exp2; temp -= (7.0 - 2.0 * D2) * D8 * 2.0 * exp2; pDetail->ddZdD += pDetail->fx[52] * temp; temp = -1.0 * D8 * exp1 + (8.0 - D1) * 8.0 * D7 * exp1; temp -= (8.0 - D1) * D8 * exp1; pDetail->ddZdD += pDetail->fx[53] * temp; temp = -4.0 * D1 * D8 * exp2 + (8.0 - 2.0 * D2) * 8.0 * D7 * exp2; temp -= (8.0 - 2.0 * D2) * D8 * 2.0 * D1 * exp2; pDetail->ddZdD += pDetail->fx[54] * temp; pDetail->ddZdD += pDetail->fx[55] * temp; temp = -4.0 * D2 * D8 * exp2 + (9.0 - 2.0 * D2) * 9.0 * D8 * exp2; temp -= (9.0 - 2.0 * D2) * D2 * D8 * 2.0 * exp2; pDetail->ddZdD += pDetail->fx[56] * temp; pDetail->ddZdD += pDetail->fx[57] * temp; pDetail->ddZdD *= pDetail->dKp3; return pDetail->ddZdD; } void Detail_relativedensity(const Detail *pDetail, NGParSTRUCT *ptNGPar) { const double dMWair = 28.96256; const double dBX = -0.12527 + 5.91e-4 * ptNGPar->dTb - 6.62e-7 * ptNGPar->dTb * ptNGPar->dTb; const double dZa = 1.0 + (dBX * pDetail->dP) / (RGASKJ * ptNGPar->dTb); ptNGPar->dRD_Ideal = ptNGPar->dMrx / dMWair; ptNGPar->dRD_Real = ptNGPar->dRD_Ideal * (dZa / ptNGPar->dZb); }