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#include "math/LU.hpp" |
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#include "math/DynamicRectMatrix.hpp" |
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#include "math/SquareMatrix3.hpp" |
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#include "utils/OOPSEConstant.hpp" |
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namespace oopse { |
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/** |
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* Reference: |
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* Comparison of Different Modeling and Computational Procedures. |
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* Biophysical Journal, 75(6), 3044, 1999 |
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*/ |
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bool HydrodynamicsModel::calcHydrodyanmicsProps(double eta) { |
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|
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HydrodynamicsModel::HydrodynamicsModel(StuntDouble* sd, const DynamicProperty& extraParams) : sd_(sd){ |
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DynamicProperty::const_iterator iter; |
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|
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iter = extraParams.find("Viscosity"); |
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if (iter != extraParams.end()) { |
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boost::any param = iter->second; |
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viscosity_ = boost::any_cast<double>(param); |
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}else { |
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std::cout << "HydrodynamicsModel Error\n" ; |
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} |
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|
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iter = extraParams.find("Temperature"); |
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if (iter != extraParams.end()) { |
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boost::any param = iter->second; |
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temperature_ = boost::any_cast<double>(param); |
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}else { |
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std::cout << "HydrodynamicsModel Error\n" ; |
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} |
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} |
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|
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bool HydrodynamicsModel::calcHydrodyanmicsProps() { |
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if (!createBeads(beads_)) { |
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std::cout << "can not create beads" << std::endl; |
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return false; |
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DynamicRectMatrix<double> B(3*nbeads, 3*nbeads); |
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DynamicRectMatrix<double> C(3*nbeads, 3*nbeads); |
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Mat3x3d I; |
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I(0, 0) = 1.0; |
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I(1, 1) = 1.0; |
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I(2, 2) = 1.0; |
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|
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for (std::size_t i = 0; i < nbeads; ++i) { |
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for (std::size_t j = 0; j < nbeads; ++j) { |
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Mat3x3d Tij; |
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double rij2 = rij * rij; |
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double sumSigma2OverRij2 = ((beads_[i].radius*beads_[i].radius) + (beads_[i].radius*beads_[i].radius)) / rij2; |
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Mat3x3d tmpMat; |
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tmpMat = outProduct(beads_[i].pos, beads_[j].pos) / rij2; |
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double constant = 8.0 * NumericConstant::PI * eta * rij; |
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tmpMat = outProduct(Rij, Rij) / rij2; |
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double constant = 8.0 * NumericConstant::PI * viscosity_ * rij; |
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Tij = ((1.0 + sumSigma2OverRij2/3.0) * I + (1.0 - sumSigma2OverRij2) * tmpMat ) / constant; |
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}else { |
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double constant = 1.0 / (6.0 * NumericConstant::PI * eta * beads_[i].radius); |
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double constant = 1.0 / (6.0 * NumericConstant::PI * viscosity_ * beads_[i].radius); |
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Tij(0, 0) = constant; |
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Tij(1, 1) = constant; |
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Tij(2, 2) = constant; |
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} |
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B.setSubMatrix(i*3, j*3, Tij); |
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std::cout << Tij << std::endl; |
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} |
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} |
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|
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std::cout << "B=\n" |
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<< B << std::endl; |
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//invert B Matrix |
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invertMatrix(B, C); |
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|
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|
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std::cout << "C=\n" |
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<< C << std::endl; |
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|
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//prepare U Matrix relative to arbitrary origin O(0.0, 0.0, 0.0) |
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std::vector<Mat3x3d> U; |
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for (int i = 0; i < nbeads; ++i) { |
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Mat3x3d Xitt; |
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Mat3x3d Xirr; |
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Mat3x3d Xitr; |
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|
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//calculate the total volume |
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|
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double volume = 0.0; |
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for (std::vector<BeadParam>::iterator iter = beads_.begin(); iter != beads_.end(); ++iter) { |
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volume = 4.0/3.0 * NumericConstant::PI * pow((*iter).radius,3); |
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} |
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|
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for (std::size_t i = 0; i < nbeads; ++i) { |
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for (std::size_t j = 0; j < nbeads; ++j) { |
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C.getSubMatrix(i*3, j*3, Cij); |
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|
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Xitt += Cij; |
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Xirr += U[i] * Cij; |
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Xitr += U[i] * Cij * U[j]; |
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Xitr += U[i] * Cij; |
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Xirr += -U[i] * Cij * U[j]; |
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//Xirr += -U[i] * Cij * U[j] + (0.166*6 * viscosity_ * volume) * I; |
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} |
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} |
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|
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Xi.setSubMatrix(0, 0, Xitt); |
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Xi.setSubMatrix(0, 3, Xitr.transpose()); |
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Xi.setSubMatrix(3, 0, Xitr); |
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Xi.setSubMatrix(3, 3, Xitt); |
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invertMatrix(Xi, Do); |
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Xi.setSubMatrix(3, 3, Xirr); |
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//invertMatrix(Xi, Do); |
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double kt = OOPSEConstant::kB * temperature_ * 1.66E-2; |
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//Do *= kt; |
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|
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|
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Mat3x3d Dott; //translational diffusion tensor at arbitrary origin O |
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Mat3x3d Dorr; //rotational diffusion tensor at arbitrary origin O |
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Mat3x3d Dotr; //translation-rotation couplingl diffusion tensor at arbitrary origin O |
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Do.getSubMatrix(0, 0 , Dott); |
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Do.getSubMatrix(3, 0, Dotr); |
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Do.getSubMatrix(3, 3, Dorr); |
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|
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const static Mat3x3d zeroMat(0.0); |
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|
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Mat3x3d XittInv(0.0); |
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XittInv = Xitt.inverse(); |
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|
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//Xirr may not be inverted,if it one of the diagonal element is zero, for example |
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//( a11 a12 0) |
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//( a21 a22 0) |
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//( 0 0 0) |
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Mat3x3d XirrInv; |
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XirrInv = Xirr.inverse(); |
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|
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Mat3x3d tmp; |
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Mat3x3d tmpInv; |
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tmp = Xitt - Xitr.transpose() * XirrInv * Xitr; |
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tmpInv = tmp.inverse(); |
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|
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Dott = kt * tmpInv; |
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Dotr = -kt*XirrInv * Xitr * tmpInv* 1.0E8; |
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|
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tmp = Xirr - Xitr * XittInv * Xitr.transpose(); |
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tmpInv = tmp.inverse(); |
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|
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Dorr = kt * tmpInv*1.0E16; |
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|
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//Do.getSubMatrix(0, 0 , Dott); |
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//Do.getSubMatrix(3, 0, Dotr); |
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//Do.getSubMatrix(3, 3, Dorr); |
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|
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//calculate center of diffusion |
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Mat3x3d tmpMat; |
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tmpMat(0, 0) = Dorr(1, 1) + Dorr(2, 2); |
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tmpMat(0, 1) = - Dorr(0, 1); |
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tmpMat(0, 2) = -Dorr(0, 2); |
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tmpMat(1, 0) = -Dorr(0, 1); |
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tmpMat(1, 1) = Dorr(0, 0) + Dorr(2, 2); |
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tmpMat(1, 2) = -Dorr(1, 2); |
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tmpMat(2, 0) = -Dorr(0, 2); |
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tmpMat(2, 1) = -Dorr(1, 2); |
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tmpMat(2, 2) = Dorr(1, 1) + Dorr(0, 0); |
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tmp(0, 0) = Dorr(1, 1) + Dorr(2, 2); |
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tmp(0, 1) = - Dorr(0, 1); |
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tmp(0, 2) = -Dorr(0, 2); |
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tmp(1, 0) = -Dorr(0, 1); |
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tmp(1, 1) = Dorr(0, 0) + Dorr(2, 2); |
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tmp(1, 2) = -Dorr(1, 2); |
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tmp(2, 0) = -Dorr(0, 2); |
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tmp(2, 1) = -Dorr(1, 2); |
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tmp(2, 2) = Dorr(1, 1) + Dorr(0, 0); |
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|
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Vector3d tmpVec; |
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tmpVec[0] = Dotr(1, 2) - Dotr(2, 1); |
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tmpVec[1] = Dotr(2, 0) - Dotr(0, 2); |
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tmpVec[2] = Dotr(0, 1) - Dotr(1, 0); |
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|
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Vector3d rod = tmpMat.inverse() * tmpVec; |
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|
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tmpInv = tmp.inverse(); |
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|
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Vector3d rod = tmpInv * tmpVec; |
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|
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//calculate Diffusion Tensor at center of diffusion |
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Mat3x3d Uod; |
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Uod.setupSkewMat(rod); |
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} |
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|
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void HydrodynamicsModel::writeBeads(std::ostream& os) { |
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std::vector<BeadParam>::iterator iter; |
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os << beads_.size() << std::endl; |
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os << "Generated by Hydro" << std::endl; |
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for (iter = beads_.begin(); iter != beads_.end(); ++iter) { |
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os << iter->atomName << "\t" << iter->pos[0] << "\t" << iter->pos[1] << "\t" << iter->pos[2] << std::endl; |
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} |
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|
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} |
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|
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void HydrodynamicsModel::writeDiffCenterAndDiffTensor(std::ostream& os) { |
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os << "//viscosity = " << viscosity_ << std::endl; |
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os << "//temperature = " << temperature_<< std::endl; |
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std::vector<BeadParam>::iterator iter; |
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os << sd_->getType() << "\n"; |
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|
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os << "//diffusion center" << std::endl; |
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os << props_.diffCenter << std::endl; |
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|
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os << "//translational diffusion tensor" << std::endl; |
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os << props_.transDiff << std::endl; |
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|
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os << "//translation-rotation coupling diffusion tensor" << std::endl; |
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os << props_.transRotDiff << std::endl; |
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|
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os << "//rotational diffusion tensor" << std::endl; |
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os << props_.rotDiff << std::endl; |
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|
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/* |
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os << props_.diffCenter[0] << "\t" << props_.diffCenter[1] << "\t" << props_.diffCenter[2] << "\n" |
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|
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os << props_.transDiff(0, 0) << "\t" << props_.transDiff(0, 1) << "\t" << props_.transDiff(0, 2) << "\t" |
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<< props_.transDiff(1, 0) << "\t" << props_.transDiff(1, 1) << "\t" << props_.transDiff(1, 2) << "\t" |
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<< props_.transDiff(2, 0) << "\t" << props_.transDiff(2, 1) << "\t" << props_.transDiff(2, 2) << "\n"; |
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|
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os << props_.transRotDiff(0, 0) << "\t" << props_.transRotDiff(0, 1) << "\t" << props_.transRotDiff(0, 2) << "\t" |
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<< props_.transRotDiff(1, 0) << "\t" << props_.transRotDiff(1, 1) << "\t" << props_.transRotDiff(1, 2) << "\t" |
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<< props_.transRotDiff(2, 0) << "\t" << props_.transRotDiff(2, 1) << "\t" << props_.transRotDiff(2, 2) << "\t" |
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|
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os << props_.rotDiff(0, 0) << "\t" << props_.rotDiff(0, 1) << "\t" << props_.rotDiff(0, 2) << "\t" |
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<< props_.rotDiff(1, 0) << "\t" << props_.rotDiff(1, 1) << "\t" << props_.rotDiff(1, 2) << "\t" |
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<< props_.rotDiff(2, 0) << "\t" << props_.rotDiff(2, 1) << "\t" << props_.rotDiff(2, 2) << ";" |
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<< std::endl; |
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*/ |
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} |
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|
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} |