fixed the derivatives in PengRobinsonMixture with a rewrite of a term to get pri_jac correct, also a getValue to get sec_jac equal, did rewriting and printing in ugly way jus t compare with Julia-code values
This commit is contained in:
Trine Mykkeltvedt
parent
756c68042d
commit
83d4194876
@ -955,6 +955,9 @@ protected:
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auto local_res = (fluid_state.fugacity(oilPhaseIdx, compIdx) -
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fluid_state.fugacity(gasPhaseIdx, compIdx));
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res[compIdx + numComponents] = Opm::getValue(local_res);
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//std::cout << "fugacity oil = " << local_res.derivative(i) << " gas = " << fluid_state.fugacity(gasPhaseIdx, compIdx) << " comp " << compIdx << std::endl; trine
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for (unsigned i = 0; i < num_primary; ++i) {
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jac[compIdx + numComponents][i] = local_res.derivative(i);
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}
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@ -1084,11 +1087,66 @@ protected:
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assembleNewton_<PrimaryFlashFluidState, PrimaryComponentVector, primary_num_pv, num_equations>
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(primary_fluid_state, primary_z, pri_jac, pri_res);
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// not totally sure the following matrix operations are correct
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pri_jac.invert();
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sec_jac.template leftmultiply(pri_jac);
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//corresponds to julias J_s
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std::cout << "sec_jac:" << std::endl;
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std::cout << "[" << sec_jac[0][0] << " " << sec_jac[0][1] << " " << sec_jac[0][2] << " " << sec_jac[0][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[1][0] << " " << sec_jac[1][1] << " " << sec_jac[1][2] << " " << sec_jac[1][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[2][0] << " " << sec_jac[2][1] << " " << sec_jac[2][2] << " " << sec_jac[2][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[3][0] << " " << sec_jac[3][1] << " " << sec_jac[3][2] << " " << sec_jac[3][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[4][0] << " " << sec_jac[4][1] << " " << sec_jac[4][2] << " " << sec_jac[4][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[5][0] << " " << sec_jac[5][1] << " " << sec_jac[5][2] << " " << sec_jac[5][3] << "] " << std::endl;
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std::cout << "[" << sec_jac[6][0] << " " << sec_jac[6][1] << " " << sec_jac[6][2] << " " << sec_jac[6][3] << "] " << std::endl;
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//corresponds to julias J_p (we miss d/dt, and have d/dL instead of d/dV)
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std::cout << "pri_jac:" << std::endl;
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std::cout << "[" << pri_jac[0][0] << " " << pri_jac[0][1] << " " << pri_jac[0][2] << " " << pri_jac[0][3] << " " << pri_jac[0][4]<< " " << pri_jac[0][5] << " " << pri_jac[0][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[1][0] << " " << pri_jac[1][1] << " " << pri_jac[1][2] << " " << pri_jac[1][3] << " " << pri_jac[1][4]<< " " << pri_jac[1][5] << " " << pri_jac[1][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[2][0] << " " << pri_jac[2][1] << " " << pri_jac[2][2] << " " << pri_jac[2][3] << " " << pri_jac[2][4]<< " " << pri_jac[2][5] << " " << pri_jac[2][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[3][0] << " " << pri_jac[3][1] << " " << pri_jac[3][2] << " " << pri_jac[3][3] << " " << pri_jac[3][4]<< " " << pri_jac[3][5] << " " << pri_jac[3][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[4][0] << " " << pri_jac[4][1] << " " << pri_jac[4][2] << " " << pri_jac[4][3] << " " << pri_jac[4][4]<< " " << pri_jac[4][5] << " " << pri_jac[4][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[5][0] << " " << pri_jac[5][1] << " " << pri_jac[5][2] << " " << pri_jac[5][3] << " " << pri_jac[5][4]<< " " << pri_jac[5][5] << " " << pri_jac[5][6]<< "] " << std::endl;
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std::cout << "[" << pri_jac[6][0] << " " << pri_jac[6][1] << " " << pri_jac[6][2] << " " << pri_jac[6][3] << " " << pri_jac[6][4]<< " " << pri_jac[6][5] << " " << pri_jac[6][6]<< "] " << std::endl;
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SecondaryNewtonMatrix xx;
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pri_jac.solve(xx,sec_jac);
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std::cout << " corresponding to julia-code value and updated J_s " << std::endl;
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std::cout << "x1 = [" << x[0] << " " << xx[0][0] << " " << xx[0][1] << " " << xx[0][2] << " " << xx[0][3] << "] " << std::endl;
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std::cout << "x2 = [" << x[1] << " " << xx[1][0] << " " <<xx[1][1] << " " << xx[1][2] << " " << xx[1][3] << "] " << std::endl;
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std::cout << "x3 = [" << x[2] << " " << xx[2][0] << " " << xx[2][1] << " " << xx[2][2] << " " << xx[2][3] << "] " << std::endl;
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std::cout << "y1 = [" << y[0] << " " << xx[3][0] << " " << xx[3][1] << " " << xx[3][2] << " " << xx[3][3] << "] " << std::endl;
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std::cout << "y2 = [" << y[1] << " " << xx[4][0] << " " << xx[4][1] << " " << xx[4][2] << " " << xx[4][3] << "] " << std::endl;
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std::cout << "y3 = [" << y[2] << " " << xx[5][0] << " " << xx[5][1] << " " << xx[5][2] << " " << xx[5][3] << "] " << std::endl;
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std::cout << "L = [" << L << " " << xx[6][0] << " " << xx[6][1] << " " << xx[6][2] << " " << xx[6][3] << "] " << std::endl;
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// rewrite like Olav xx --> xxx (do this properly to clean up =)
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// z3 = 1 -z2 -z1;
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// dx1/dp dx1/dt (dx1/dz1-dx1/dz3) (dx1/dz2 - dx1/dz3)
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using TertiaryMatrix = Dune::FieldMatrix<Scalar, num_equations, secondary_num_pv-1>;
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TertiaryMatrix xxx;
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xxx[0][0] = xx[0][0];
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xxx[1][0] = xx[1][0];
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xxx[2][0] = xx[2][0];
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xxx[3][0] = xx[0][0];
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xxx[4][0] = xx[1][0];
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xxx[5][0] = xx[2][0];
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xxx[6][0] = xx[3][0];
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for (unsigned i = 0; i < primary_num_pv; ++i) { // 7 rekker
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xxx[i][1] = Opm::getValue(xx[i][1])-Opm::getValue(xx[i][3]);
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xxx[i][2] = Opm::getValue(xx[i][2])-Opm::getValue(xx[i][3]);
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}
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std::cout << " corresponding to julia-code value and derivatives listed in test_setup NB CHANGE SIGN, and we dont have d/dT " << std::endl;
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std::cout << "x1 = [" << x[0] << " " << xxx[0][0] << " " << xxx[0][1] << " " << xxx[0][2] << "] " << std::endl;
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std::cout << "x2 = [" << x[1] << " " << xxx[1][0] << " " <<xxx[1][1] << " " << xxx[1][2] << "] " << std::endl;
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std::cout << "x3 = [" << x[2] << " " << xxx[2][0] << " " << xxx[2][1] << " " << xxx[2][2] << "] " << std::endl;
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std::cout << "y1 = [" << y[0] << " " << xxx[3][0] << " " << xxx[3][1] << " " << xxx[3][2] << "] " << std::endl;
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std::cout << "y2 = [" << y[1] << " " << xxx[4][0] << " " << xxx[4][1] << " " << xxx[4][2] << "] " << std::endl;
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std::cout << "y3 = [" << y[2] << " " << xxx[5][0] << " " << xxx[5][1] << " " << xxx[5][2] << "] " << std::endl;
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std::cout << "L = [" << L << " " << xxx[6][0] << " " << xxx[6][1] << " " << xxx[6][2] << " " << xx[6][3] << "] " << std::endl;
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// TODO: then beginning from that point
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}
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}//end updateDerivative
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/* template <class Vector, class Matrix, class Eval, class ComponentVector>
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static void evalJacobian(const ComponentVector& globalComposition,
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@ -94,21 +94,21 @@ public:
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unsigned phaseIdx,
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unsigned compIdx)
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{
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#warning also a HACK, should investigate why
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auto fs = fs2;
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double sumx = 0.0;
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for (int i = 0; i < FluidState::numComponents; ++i)
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sumx += Opm::scalarValue(fs.moleFraction(phaseIdx, i));
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if (sumx < 0.95) {
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double alpha = 0.95/sumx;
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std::cerr << "normalize: " << sumx
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<< " alpha: " << alpha << "\n";
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for (int i = 0; i < FluidState::numComponents; ++i)
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fs.setMoleFraction(phaseIdx, i, alpha*fs.moleFraction(phaseIdx, i));
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}
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// #warning also a HACK, should investigate why
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auto fs = fs2;
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// double sumx = 0.0;
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// for (int i = 0; i < FluidState::numComponents; ++i)
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// sumx += Opm::scalarValue(fs.moleFraction(phaseIdx, i));
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// if (sumx < 0.95) {
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// double alpha = 0.95/sumx;
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// std::cerr << "normalize: " << sumx
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// << " alpha: " << alpha << "\n";
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// for (int i = 0; i < FluidState::numComponents; ++i)
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// fs.setMoleFraction(phaseIdx, i, alpha*fs.moleFraction(phaseIdx, i));
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// }
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auto params = params2;
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params.updatePhase(fs, phaseIdx);
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auto params = params2;
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// params.updatePhase(fs, phaseIdx);
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// note that we normalize the component mole fractions, so
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// that their sum is 100%. This increases numerical stability
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// considerably if the fluid state is not physical.
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@ -126,29 +126,69 @@ public:
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LhsEval Astar = params.a(phaseIdx)*p/(RT*RT);
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LhsEval Bstar = params.b(phaseIdx)*p/(RT);
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//MAYBE REMOVE THIS COMPLETELY ??
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// calculate delta_i (see: Reid, p. 145)
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LhsEval sumMoleFractions = 0.0;
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for (unsigned compJIdx = 0; compJIdx < numComponents; ++compJIdx)
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sumMoleFractions += fs.moleFraction(phaseIdx, compJIdx);
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LhsEval deltai = 2*sqrt(params.aPure(phaseIdx, compIdx))/params.a(phaseIdx);
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LhsEval tmp = 0;
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for (unsigned compJIdx = 0; compJIdx < numComponents; ++compJIdx) {
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tmp +=
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fs.moleFraction(phaseIdx, compJIdx)
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/ sumMoleFractions
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* sqrt(params.aPure(phaseIdx, compJIdx))
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* (1.0 - StaticParameters::interactionCoefficient(compIdx, compJIdx));
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};
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deltai *= tmp;
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//std::cout << "params.aPure [" << params.aPure(phaseIdx, compIdx) << "] " << std::endl;
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LhsEval tmp = 0;
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for (unsigned compJIdx = 0; compJIdx < numComponents; ++compJIdx) {
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tmp +=
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fs.moleFraction(phaseIdx, compJIdx)
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/ sumMoleFractions
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* sqrt(params.aPure(phaseIdx, compJIdx));
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//* (1.0 - StaticParameters::interactionCoefficient(compIdx, compJIdx));
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};
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deltai *= tmp;
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// Calculate A_s LIKE IN JULIA CODE
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LhsEval A_s = 0.0;
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for (unsigned compJIdx = 0; compJIdx < numComponents; ++compJIdx)
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{
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//param
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A_s += params.aCache(phaseIdx, compIdx, compJIdx) * fs.moleFraction(phaseIdx, compJIdx) * p / (RT * RT);
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}
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//LhsEval A_s = 0.5*Astar*deltai;
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LhsEval julia_alpha;
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LhsEval julia_betta;
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LhsEval julia_gamma;
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LhsEval ln_phi;
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LhsEval fugCoeff;
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Scalar m1;
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Scalar m2;
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m1 = 0.5*(u + std::sqrt(u*u - 4*w));
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m2 = 0.5*(u - std::sqrt(u*u - 4*w));
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LhsEval base =
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(2*Z + Bstar*(u + std::sqrt(u*u - 4*w))) /
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(2*Z + Bstar*(u - std::sqrt(u*u - 4*w)));
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(Z + Bstar*m1) /
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(Z + Bstar*m2);
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LhsEval expo = Astar/(Bstar*std::sqrt(u*u - 4*w))*(bi_b - deltai);
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LhsEval fugCoeff =
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exp(bi_b*(Z - 1))/max(1e-9, Z - Bstar) *
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pow(base, expo);
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//julia:
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//α = -log(Z - B) + (B_i[i]/B)*(Z - 1)
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//β = log((Z + m2*B)/(Z + m1*B))*A/(Δm*B)
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//γ = (2/A)*A_s - B_i[i]/B
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//return α + β*γ
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julia_alpha = -log(Z-Bstar)+bi_b*(Z - 1);
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julia_betta = log((Z+m2*Bstar)/(Z+m1*Bstar))*Astar/((m1-m2)*Bstar);
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//julia_gamma = -bi_b+deltai;//expo;//(2/Astar)*A_s -bi_b/Bstar;
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julia_gamma = (2 / Astar )* A_s - bi_b;
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ln_phi = julia_alpha + (julia_betta*julia_gamma);
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fugCoeff = exp(ln_phi);
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//exp(bi_b*(Z - 1))/max(1e-9, Z - Bstar) * pow(base, expo);
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////////
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// limit the fugacity coefficient to a reasonable range:
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@ -66,6 +66,15 @@ class PengRobinsonParamsMixture
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typedef MathToolbox<Scalar> Toolbox;
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public:
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/*!
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* \brief TODO
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*/
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Scalar getaCache(unsigned compIIdx, unsigned compJIdx )
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{
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return aCache_[compIIdx][compJIdx];
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}
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/*!
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* \brief Update Peng-Robinson parameters for the pure components.
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*/
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@ -99,12 +108,12 @@ public:
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Scalar f_omega;
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if (useSpe5Relations) {
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// if (useSpe5Relations) {
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if (omega < 0.49) f_omega = 0.37464 + omega*(1.54226 + omega*(-0.26992));
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else f_omega = 0.379642 + omega*(1.48503 + omega*(-0.164423 + omega*0.016666));
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}
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else
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f_omega = 0.37464 + omega*(1.54226 - omega*0.26992);
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// }
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// else
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// f_omega = 0.37464 + omega*(1.54226 - omega*0.26992);
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Valgrind::CheckDefined(f_omega);
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@ -135,6 +144,7 @@ public:
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template <class FluidState>
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void updateMix(const FluidState& fs)
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{
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using FlashEval = typename FluidState::Scalar;
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Scalar sumx = 0.0;
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for (unsigned compIdx = 0; compIdx < numComponents; ++compIdx)
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sumx += fs.moleFraction(phaseIdx, compIdx);
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@ -144,16 +154,16 @@ public:
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//
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// See: R. Reid, et al.: The Properties of Gases and Liquids,
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// 4th edition, McGraw-Hill, 1987, p. 82
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Scalar newA = 0;
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Scalar newB = 0;
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FlashEval newA = 0;
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FlashEval newB = 0;
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for (unsigned compIIdx = 0; compIIdx < numComponents; ++compIIdx) {
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const Scalar moleFracI = fs.moleFraction(phaseIdx, compIIdx);
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Scalar xi = max(0.0, min(1.0, moleFracI));
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const FlashEval moleFracI = fs.moleFraction(phaseIdx, compIIdx);
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FlashEval xi = max(0.0, min(1.0, moleFracI));
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Valgrind::CheckDefined(xi);
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for (unsigned compJIdx = 0; compJIdx < numComponents; ++compJIdx) {
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const Scalar moleFracJ = fs.moleFraction(phaseIdx, compJIdx );
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Scalar xj = max(0.0, min(1.0, moleFracJ));
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const FlashEval moleFracJ = fs.moleFraction(phaseIdx, compJIdx );
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FlashEval xj = max(0.0, min(1.0, moleFracJ));
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Valgrind::CheckDefined(xj);
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// mixing rule from Reid, page 82
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@ -177,6 +177,27 @@ public:
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};
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}
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/*!
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* \brief TODO
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*
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* \param phaseIdx The fluid phase of interest
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* \param compIdx The component phase of interest
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* \param compJIdx Additional component index
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*/
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Scalar aCache(unsigned phaseIdx, unsigned compIdx, unsigned compJIdx)
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{
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switch (phaseIdx)
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{
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case oilPhaseIdx: return oilPhaseParams_.getaCache(compIdx,compJIdx);
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case gasPhaseIdx: return gasPhaseParams_.getaCache(compIdx,compJIdx);
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default:
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throw std::logic_error("The aCache() parameter is only defined for "
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"oil phase");
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};
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}
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/*!
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* \brief Returns the molar volume of a phase [m^3/mol]
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*
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@ -160,8 +160,9 @@ namespace Opm {
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// TODO: here the derivatives for the phi are dropped. Should we keep the derivatives against the pressure
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// and temperature?
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Scalar phi = Opm::getValue(
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PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx));
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LhsEval phi = PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx);
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//Scalar phi = Opm::getValue(
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// PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx));
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return phi;
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}
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@ -272,8 +272,9 @@ public:
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assert(0 <= phaseIdx && phaseIdx < numPhases);
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assert(0 <= compIdx && compIdx < numComponents);
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Scalar phi = Opm::getValue(
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PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx));
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LhsEval phi = PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx);
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//Scalar phi = Opm::getValue(
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// PengRobinsonMixture::computeFugacityCoefficient(fluidState, paramCache, phaseIdx, compIdx));
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return phi;
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