| 6 | 
  | 
 * redistribute this software in source and binary code form, provided | 
| 7 | 
  | 
 * that the following conditions are met: | 
| 8 | 
  | 
 * | 
| 9 | 
< | 
 * 1. Acknowledgement of the program authors must be made in any | 
| 10 | 
< | 
 *    publication of scientific results based in part on use of the | 
| 11 | 
< | 
 *    program.  An acceptable form of acknowledgement is citation of | 
| 12 | 
< | 
 *    the article in which the program was described (Matthew | 
| 13 | 
< | 
 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher | 
| 14 | 
< | 
 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented | 
| 15 | 
< | 
 *    Parallel Simulation Engine for Molecular Dynamics," | 
| 16 | 
< | 
 *    J. Comput. Chem. 26, pp. 252-271 (2005)) | 
| 17 | 
< | 
 * | 
| 18 | 
< | 
 * 2. Redistributions of source code must retain the above copyright | 
| 9 | 
> | 
 * 1. Redistributions of source code must retain the above copyright | 
| 10 | 
  | 
 *    notice, this list of conditions and the following disclaimer. | 
| 11 | 
  | 
 * | 
| 12 | 
< | 
 * 3. Redistributions in binary form must reproduce the above copyright | 
| 12 | 
> | 
 * 2. Redistributions in binary form must reproduce the above copyright | 
| 13 | 
  | 
 *    notice, this list of conditions and the following disclaimer in the | 
| 14 | 
  | 
 *    documentation and/or other materials provided with the | 
| 15 | 
  | 
 *    distribution. | 
| 28 | 
  | 
 * arising out of the use of or inability to use software, even if the | 
| 29 | 
  | 
 * University of Notre Dame has been advised of the possibility of | 
| 30 | 
  | 
 * such damages. | 
| 31 | 
+ | 
 * | 
| 32 | 
+ | 
 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your | 
| 33 | 
+ | 
 * research, please cite the appropriate papers when you publish your | 
| 34 | 
+ | 
 * work.  Good starting points are: | 
| 35 | 
+ | 
 *                                                                       | 
| 36 | 
+ | 
 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
| 37 | 
+ | 
 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
| 38 | 
+ | 
 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
| 39 | 
+ | 
 * [4]  Vardeman & Gezelter, in progress (2009).                         | 
| 40 | 
  | 
 */ | 
| 41 | 
+ | 
#include "applications/hydrodynamics/HydrodynamicsModel.hpp" | 
| 42 | 
+ | 
#include "hydrodynamics/Shape.hpp" | 
| 43 | 
+ | 
#include "hydrodynamics/Sphere.hpp" | 
| 44 | 
+ | 
#include "hydrodynamics/Ellipsoid.hpp" | 
| 45 | 
+ | 
#include "applications/hydrodynamics/CompositeShape.hpp" | 
| 46 | 
  | 
 | 
| 47 | 
< | 
#include "applications/hydrodynamics/HydrodynamicsModel.hpp"  | 
| 48 | 
< | 
#include "math/LU.hpp" | 
| 49 | 
< | 
#include "math/DynamicRectMatrix.hpp" | 
| 50 | 
< | 
#include "math/SquareMatrix3.hpp" | 
| 51 | 
< | 
namespace oopse { | 
| 52 | 
< | 
/** | 
| 53 | 
< | 
 * Reference: | 
| 49 | 
< | 
 * Beatriz Carrasco and Jose Gracia de la Torre, Hydrodynamic Properties of Rigid Particles: | 
| 50 | 
< | 
 * Comparison of Different Modeling and Computational Procedures.  | 
| 51 | 
< | 
 * Biophysical Journal, 75(6), 3044, 1999 | 
| 52 | 
< | 
 */ | 
| 53 | 
< | 
bool HydrodynamicsModel::calcHydrodyanmicsProps(double eta) { | 
| 54 | 
< | 
    if (!createBeads(beads_)) { | 
| 55 | 
< | 
        std::cout << "can not create beads" << std::endl; | 
| 56 | 
< | 
        return false; | 
| 57 | 
< | 
    } | 
| 58 | 
< | 
     | 
| 59 | 
< | 
    int nbeads = beads_.size(); | 
| 60 | 
< | 
    DynamicRectMatrix<double> B(3*nbeads, 3*nbeads); | 
| 61 | 
< | 
    DynamicRectMatrix<double> C(3*nbeads, 3*nbeads); | 
| 62 | 
< | 
    Mat3x3d I; | 
| 63 | 
< | 
    for (std::size_t i = 0; i < nbeads; ++i) { | 
| 64 | 
< | 
        for (std::size_t j = 0; j < nbeads; ++j) { | 
| 65 | 
< | 
            Mat3x3d Tij; | 
| 66 | 
< | 
            if (i != j ) { | 
| 67 | 
< | 
                Vector3d Rij = beads_[i].pos - beads_[j].pos; | 
| 68 | 
< | 
                double rij = Rij.length(); | 
| 69 | 
< | 
                double rij2 = rij * rij; | 
| 70 | 
< | 
                double sumSigma2OverRij2 = ((beads_[i].radius*beads_[i].radius) + (beads_[i].radius*beads_[i].radius)) / rij2;                 | 
| 71 | 
< | 
                Mat3x3d tmpMat; | 
| 72 | 
< | 
                tmpMat = outProduct(beads_[i].pos, beads_[j].pos) / rij2; | 
| 73 | 
< | 
                double constant = 8.0 * NumericConstant::PI * eta * rij; | 
| 74 | 
< | 
                Tij = ((1.0 + sumSigma2OverRij2/3.0) * I + (1.0 - sumSigma2OverRij2) * tmpMat ) / constant; | 
| 75 | 
< | 
            }else { | 
| 76 | 
< | 
                double constant = 1.0 / (6.0 * NumericConstant::PI * eta * beads_[i].radius); | 
| 77 | 
< | 
                Tij(0, 0) = constant; | 
| 78 | 
< | 
                Tij(1, 1) = constant; | 
| 79 | 
< | 
                Tij(2, 2) = constant; | 
| 80 | 
< | 
            } | 
| 81 | 
< | 
            B.setSubMatrix(i*3, j*3, Tij); | 
| 82 | 
< | 
        } | 
| 83 | 
< | 
    } | 
| 47 | 
> | 
namespace OpenMD { | 
| 48 | 
> | 
   | 
| 49 | 
> | 
  bool HydrodynamicsModel::calcHydroProps(Shape* shape, RealType viscosity, RealType temperature) { | 
| 50 | 
> | 
    return false; | 
| 51 | 
> | 
  } | 
| 52 | 
> | 
   | 
| 53 | 
> | 
  void HydrodynamicsModel::writeHydroProps(std::ostream& os) { | 
| 54 | 
  | 
 | 
| 55 | 
< | 
    //invert B Matrix | 
| 56 | 
< | 
    invertMatrix(B, C); | 
| 55 | 
> | 
    Vector3d center; | 
| 56 | 
> | 
    Mat6x6d Xi, D; | 
| 57 | 
  | 
     | 
| 58 | 
< | 
    //prepare U Matrix relative to arbitrary origin O(0.0, 0.0, 0.0) | 
| 89 | 
< | 
    std::vector<Mat3x3d> U; | 
| 90 | 
< | 
    for (int i = 0; i < nbeads; ++i) { | 
| 91 | 
< | 
        Mat3x3d currU; | 
| 92 | 
< | 
        currU.setupSkewMat(beads_[i].pos); | 
| 93 | 
< | 
        U.push_back(currU); | 
| 94 | 
< | 
    } | 
| 58 | 
> | 
    os << sd_->getType() << "\t"; | 
| 59 | 
  | 
     | 
| 60 | 
< | 
    //calculate Xi matrix at arbitrary origin O | 
| 97 | 
< | 
    Mat3x3d Xitt; | 
| 98 | 
< | 
    Mat3x3d Xirr; | 
| 99 | 
< | 
    Mat3x3d Xitr; | 
| 100 | 
< | 
         | 
| 101 | 
< | 
    for (std::size_t i = 0; i < nbeads; ++i) { | 
| 102 | 
< | 
        for (std::size_t j = 0; j < nbeads; ++j) { | 
| 103 | 
< | 
            Mat3x3d Cij; | 
| 104 | 
< | 
            C.getSubMatrix(i*3, j*3, Cij); | 
| 105 | 
< | 
             | 
| 106 | 
< | 
            Xitt += Cij; | 
| 107 | 
< | 
            Xirr += U[i] * Cij; | 
| 108 | 
< | 
            Xitr += U[i] * Cij * U[j];             | 
| 109 | 
< | 
        } | 
| 110 | 
< | 
    } | 
| 60 | 
> | 
    //center of resistance | 
| 61 | 
  | 
 | 
| 62 | 
< | 
    //invert Xi to get Diffusion Tensor at arbitrary origin O | 
| 113 | 
< | 
    RectMatrix<double, 6, 6> Xi;     | 
| 114 | 
< | 
    RectMatrix<double, 6, 6> Do; | 
| 115 | 
< | 
    Xi.setSubMatrix(0, 0, Xitt); | 
| 116 | 
< | 
    Xi.setSubMatrix(0, 3, Xitr.transpose()); | 
| 117 | 
< | 
    Xi.setSubMatrix(3, 0, Xitr); | 
| 118 | 
< | 
    Xi.setSubMatrix(3, 3, Xitt); | 
| 119 | 
< | 
    invertMatrix(Xi, Do); | 
| 62 | 
> | 
    center = cr_->getCOR(); | 
| 63 | 
  | 
 | 
| 64 | 
< | 
    Mat3x3d Dott; //translational diffusion tensor at arbitrary origin O | 
| 65 | 
< | 
    Mat3x3d Dorr; //rotational diffusion tensor at arbitrary origin O | 
| 66 | 
< | 
    Mat3x3d Dotr; //translation-rotation couplingl diffusion tensor at arbitrary origin O | 
| 67 | 
< | 
    Do.getSubMatrix(0, 0 , Dott); | 
| 125 | 
< | 
    Do.getSubMatrix(3, 0, Dotr); | 
| 126 | 
< | 
    Do.getSubMatrix(3, 3, Dorr); | 
| 64 | 
> | 
    os << center[0] <<  "\t" << center[1] <<  "\t" << center[2] <<  "\t";  | 
| 65 | 
> | 
     | 
| 66 | 
> | 
    //resistance tensor at center of resistance | 
| 67 | 
> | 
    //translation | 
| 68 | 
  | 
 | 
| 69 | 
< | 
    //calculate center of diffusion | 
| 129 | 
< | 
    Mat3x3d tmpMat; | 
| 130 | 
< | 
    tmpMat(0, 0) = Dorr(1, 1) + Dorr(2, 2); | 
| 131 | 
< | 
    tmpMat(0, 1) = - Dorr(0, 1); | 
| 132 | 
< | 
    tmpMat(0, 2) = -Dorr(0, 2); | 
| 133 | 
< | 
    tmpMat(1, 0) = -Dorr(0, 1); | 
| 134 | 
< | 
    tmpMat(1, 1) = Dorr(0, 0)  + Dorr(2, 2); | 
| 135 | 
< | 
    tmpMat(1, 2) = -Dorr(1, 2); | 
| 136 | 
< | 
    tmpMat(2, 0) = -Dorr(0, 2); | 
| 137 | 
< | 
    tmpMat(2, 1) = -Dorr(1, 2); | 
| 138 | 
< | 
    tmpMat(2, 2) = Dorr(1, 1) + Dorr(0, 0); | 
| 69 | 
> | 
    Xi = cr_->getXi(); | 
| 70 | 
  | 
 | 
| 71 | 
< | 
    Vector3d tmpVec; | 
| 72 | 
< | 
    tmpVec[0] = Dotr(1, 2) - Dotr(2, 1); | 
| 73 | 
< | 
    tmpVec[1] = Dotr(2, 0) - Dotr(0, 2); | 
| 74 | 
< | 
    tmpVec[2] = Dotr(0, 1) - Dotr(1, 0); | 
| 75 | 
< | 
         | 
| 76 | 
< | 
    Vector3d rod = tmpMat.inverse() * tmpVec; | 
| 71 | 
> | 
    os << Xi(0, 0) <<  "\t" << Xi(0, 1) <<  "\t" << Xi(0, 2) <<  "\t"  | 
| 72 | 
> | 
       << Xi(1, 0) <<  "\t" << Xi(1, 1) <<  "\t" << Xi(1, 2) <<  "\t"  | 
| 73 | 
> | 
       << Xi(2, 0) <<  "\t" << Xi(2, 1) <<  "\t" << Xi(2, 2) <<  "\t";  | 
| 74 | 
> | 
     | 
| 75 | 
> | 
    //rotation-translation | 
| 76 | 
> | 
    os << Xi(0, 3) <<  "\t" << Xi(0, 4) <<  "\t" << Xi(0, 5) <<  "\t"  | 
| 77 | 
> | 
       << Xi(1, 3) <<  "\t" << Xi(1, 4) <<  "\t" << Xi(1, 5) <<  "\t"  | 
| 78 | 
> | 
       << Xi(2, 3) <<  "\t" << Xi(2, 4) <<  "\t" << Xi(2, 5) <<  "\t"; | 
| 79 | 
> | 
     | 
| 80 | 
> | 
    //translation-rotation | 
| 81 | 
> | 
    os << Xi(3, 0) <<  "\t" << Xi(3, 1) <<  "\t" << Xi(3, 2) <<  "\t"  | 
| 82 | 
> | 
       << Xi(4, 0) <<  "\t" << Xi(4, 1) <<  "\t" << Xi(4, 2) <<  "\t"  | 
| 83 | 
> | 
       << Xi(5, 0) <<  "\t" << Xi(5, 1) <<  "\t" << Xi(5, 2) <<  "\t";  | 
| 84 | 
> | 
     | 
| 85 | 
> | 
    //rotation | 
| 86 | 
> | 
    os << Xi(3, 3) <<  "\t" << Xi(3, 4) <<  "\t" << Xi(3, 5) <<  "\t"  | 
| 87 | 
> | 
       << Xi(4, 3) <<  "\t" << Xi(4, 4) <<  "\t" << Xi(4, 5) <<  "\t"  | 
| 88 | 
> | 
       << Xi(5, 3) <<  "\t" << Xi(5, 4) <<  "\t" << Xi(5, 5) <<  "\t";  | 
| 89 | 
> | 
     | 
| 90 | 
> | 
     | 
| 91 | 
> | 
    //diffusion tensor at center of resistance | 
| 92 | 
> | 
    //translation | 
| 93 | 
  | 
 | 
| 94 | 
< | 
    //calculate Diffusion Tensor at center of diffusion | 
| 95 | 
< | 
    Mat3x3d Uod; | 
| 96 | 
< | 
    Uod.setupSkewMat(rod); | 
| 94 | 
> | 
    D = cr_->getD(); | 
| 95 | 
> | 
 | 
| 96 | 
> | 
    os << D(0, 0) <<  "\t" << D(0, 1) <<  "\t" << D(0, 2) <<  "\t"  | 
| 97 | 
> | 
       << D(1, 0) <<  "\t" << D(1, 1) <<  "\t" << D(1, 2) <<  "\t"  | 
| 98 | 
> | 
       << D(2, 0) <<  "\t" << D(2, 1) <<  "\t" << D(2, 2) <<  "\t";  | 
| 99 | 
  | 
     | 
| 100 | 
< | 
    Mat3x3d Ddtt; //translational diffusion tensor at diffusion center | 
| 101 | 
< | 
    Mat3x3d Ddtr; //rotational diffusion tensor at diffusion center | 
| 102 | 
< | 
    Mat3x3d Ddrr; //translation-rotation couplingl diffusion tensor at diffusion tensor | 
| 100 | 
> | 
    //rotation-translation | 
| 101 | 
> | 
    os << D(0, 3) <<  "\t" << D(0, 4) <<  "\t" << D(0, 5) <<  "\t"  | 
| 102 | 
> | 
       << D(1, 3) <<  "\t" << D(1, 4) <<  "\t" << D(1, 5) <<  "\t"  | 
| 103 | 
> | 
       << D(2, 3) <<  "\t" << D(2, 4) <<  "\t" << D(2, 5) <<  "\t";  | 
| 104 | 
  | 
     | 
| 105 | 
< | 
    Ddtt = Dott - Uod * Dorr * Uod + Dotr.transpose() * Uod - Uod * Dotr; | 
| 106 | 
< | 
    Ddrr = Dorr; | 
| 107 | 
< | 
    Ddtr = Dotr + Dorr * Uod; | 
| 105 | 
> | 
    //translation-rotation | 
| 106 | 
> | 
    os << D(3, 0) <<  "\t" << D(3, 1) <<  "\t" << D(3, 2) <<  "\t"  | 
| 107 | 
> | 
       << D(4, 0) <<  "\t" << D(4, 1) <<  "\t" << D(4, 2) <<  "\t"  | 
| 108 | 
> | 
       << D(5, 0) <<  "\t" << D(5, 1) <<  "\t" << D(5, 2) <<  "\t";  | 
| 109 | 
  | 
     | 
| 110 | 
< | 
    props_.diffCenter = rod; | 
| 111 | 
< | 
    props_.transDiff = Ddtt; | 
| 112 | 
< | 
    props_.transRotDiff = Ddtr; | 
| 113 | 
< | 
    props_.rotDiff = Ddrr; | 
| 110 | 
> | 
    //rotation | 
| 111 | 
> | 
    os << D(3, 3) <<  "\t" << D(3, 4) <<  "\t" << D(3, 5) <<  "\t"  | 
| 112 | 
> | 
       << D(4, 3) <<  "\t" << D(4, 4) <<  "\t" << D(4, 5) <<  "\t"  | 
| 113 | 
> | 
       << D(5, 3) <<  "\t" << D(5, 4) <<  "\t" << D(5, 5) <<  "\t";  | 
| 114 | 
> | 
     | 
| 115 | 
> | 
    //--------------------------------------------------------------------- | 
| 116 | 
> | 
     | 
| 117 | 
> | 
    //center of diffusion | 
| 118 | 
  | 
 | 
| 119 | 
< | 
    return true;     | 
| 165 | 
< | 
} | 
| 119 | 
> | 
    center = cd_->getCOR(); | 
| 120 | 
  | 
 | 
| 121 | 
< | 
void HydrodynamicsModel::writeBeads(std::ostream& os) { | 
| 121 | 
> | 
    os << center[0] <<  "\t" << center[1] <<  "\t" << center[2] <<  "\t";  | 
| 122 | 
> | 
     | 
| 123 | 
> | 
    //resistance tensor at center of diffusion | 
| 124 | 
> | 
    //translation | 
| 125 | 
  | 
 | 
| 126 | 
< | 
} | 
| 126 | 
> | 
    Xi = cd_->getXi(); | 
| 127 | 
  | 
 | 
| 128 | 
< | 
void HydrodynamicsModel::writeDiffCenterAndDiffTensor(std::ostream& os) { | 
| 128 | 
> | 
    os << Xi(0, 0) <<  "\t" << Xi(0, 1) <<  "\t" << Xi(0, 2) <<  "\t"  | 
| 129 | 
> | 
       << Xi(1, 0) <<  "\t" << Xi(1, 1) <<  "\t" << Xi(1, 2) <<  "\t"  | 
| 130 | 
> | 
       << Xi(2, 0) <<  "\t" << Xi(2, 1) <<  "\t" << Xi(2, 2) <<  "\t";  | 
| 131 | 
> | 
     | 
| 132 | 
> | 
    //rotation-translation | 
| 133 | 
> | 
    os << Xi(0, 3) <<  "\t" << Xi(0, 4) <<  "\t" << Xi(0, 5) <<  "\t"  | 
| 134 | 
> | 
       << Xi(1, 3) <<  "\t" << Xi(1, 4) <<  "\t" << Xi(1, 5) <<  "\t"  | 
| 135 | 
> | 
       << Xi(2, 3) <<  "\t" << Xi(2, 4) <<  "\t" << Xi(2, 5) <<  "\t";  | 
| 136 | 
> | 
     | 
| 137 | 
> | 
    //translation-rotation | 
| 138 | 
> | 
    os << Xi(3, 0) <<  "\t" << Xi(3, 1) <<  "\t" << Xi(3, 2) <<  "\t"  | 
| 139 | 
> | 
       << Xi(4, 0) <<  "\t" << Xi(4, 1) <<  "\t" << Xi(4, 2) <<  "\t"  | 
| 140 | 
> | 
       << Xi(5, 0) <<  "\t" << Xi(5, 1) <<  "\t" << Xi(5, 2) <<  "\t";  | 
| 141 | 
> | 
     | 
| 142 | 
> | 
    //rotation | 
| 143 | 
> | 
    os << Xi(3, 3) <<  "\t" << Xi(3, 4) <<  "\t" << Xi(3, 5) <<  "\t"  | 
| 144 | 
> | 
       << Xi(4, 3) <<  "\t" << Xi(4, 4) <<  "\t" << Xi(4, 5) <<  "\t"  | 
| 145 | 
> | 
       << Xi(5, 3) <<  "\t" << Xi(5, 4) <<  "\t" << Xi(5, 5) <<  "\t";  | 
| 146 | 
> | 
     | 
| 147 | 
> | 
     | 
| 148 | 
> | 
    //diffusion tensor at center of diffusion | 
| 149 | 
> | 
    //translation | 
| 150 | 
  | 
 | 
| 151 | 
< | 
} | 
| 151 | 
> | 
    D = cd_->getD(); | 
| 152 | 
  | 
 | 
| 153 | 
+ | 
    os << D(0, 0) <<  "\t" << D(0, 1) <<  "\t" << D(0, 2) <<  "\t"  | 
| 154 | 
+ | 
       << D(1, 0) <<  "\t" << D(1, 1) <<  "\t" << D(1, 2) <<  "\t"  | 
| 155 | 
+ | 
       << D(2, 0) <<  "\t" << D(2, 1) <<  "\t" << D(2, 2) <<  "\t";  | 
| 156 | 
+ | 
     | 
| 157 | 
+ | 
    //rotation-translation | 
| 158 | 
+ | 
    os << D(0, 3) <<  "\t" << D(0, 4) <<  "\t" << D(0, 5) <<  "\t"  | 
| 159 | 
+ | 
       << D(1, 3) <<  "\t" << D(1, 4) <<  "\t" << D(1, 5) <<  "\t"  | 
| 160 | 
+ | 
       << D(2, 3) <<  "\t" << D(2, 4) <<  "\t" << D(2, 5) <<  "\t";  | 
| 161 | 
+ | 
     | 
| 162 | 
+ | 
    //translation-rotation | 
| 163 | 
+ | 
    os << D(3, 0) <<  "\t" << D(3, 1) <<  "\t" << D(3, 2) <<  "\t"  | 
| 164 | 
+ | 
       << D(4, 0) <<  "\t" << D(4, 1) <<  "\t" << D(4, 2) <<  "\t"  | 
| 165 | 
+ | 
       << D(5, 0) <<  "\t" << D(5, 1) <<  "\t" << D(5, 2) <<  "\t";  | 
| 166 | 
+ | 
     | 
| 167 | 
+ | 
    //rotation | 
| 168 | 
+ | 
    os << D(3, 3) <<  "\t" << D(3, 4) <<  "\t" << D(3, 5) <<  "\t"  | 
| 169 | 
+ | 
       << D(4, 3) <<  "\t" << D(4, 4) <<  "\t" << D(4, 5) <<  "\t"  | 
| 170 | 
+ | 
       << D(5, 3) <<  "\t" << D(5, 4) <<  "\t" << D(5, 5) <<  "\n";     | 
| 171 | 
+ | 
     | 
| 172 | 
+ | 
  } | 
| 173 | 
+ | 
   | 
| 174 | 
  | 
} |