| 95 |
|
double rij2 = rij * rij; |
| 96 |
|
double sumSigma2OverRij2 = ((beads_[i].radius*beads_[i].radius) + (beads_[i].radius*beads_[i].radius)) / rij2; |
| 97 |
|
Mat3x3d tmpMat; |
| 98 |
< |
tmpMat = outProduct(beads_[i].pos, beads_[j].pos) / rij2; |
| 98 |
> |
tmpMat = outProduct(Rij, Rij) / rij2; |
| 99 |
|
double constant = 8.0 * NumericConstant::PI * viscosity_ * rij; |
| 100 |
|
Tij = ((1.0 + sumSigma2OverRij2/3.0) * I + (1.0 - sumSigma2OverRij2) * tmpMat ) / constant; |
| 101 |
|
}else { |
| 105 |
|
Tij(2, 2) = constant; |
| 106 |
|
} |
| 107 |
|
B.setSubMatrix(i*3, j*3, Tij); |
| 108 |
+ |
std::cout << Tij << std::endl; |
| 109 |
|
} |
| 110 |
|
} |
| 111 |
|
|
| 112 |
+ |
std::cout << "B=\n" |
| 113 |
+ |
<< B << std::endl; |
| 114 |
|
//invert B Matrix |
| 115 |
|
invertMatrix(B, C); |
| 116 |
+ |
|
| 117 |
+ |
std::cout << "C=\n" |
| 118 |
+ |
<< C << std::endl; |
| 119 |
+ |
|
| 120 |
|
//prepare U Matrix relative to arbitrary origin O(0.0, 0.0, 0.0) |
| 121 |
|
std::vector<Mat3x3d> U; |
| 122 |
|
for (int i = 0; i < nbeads; ++i) { |
| 129 |
|
Mat3x3d Xitt; |
| 130 |
|
Mat3x3d Xirr; |
| 131 |
|
Mat3x3d Xitr; |
| 132 |
+ |
|
| 133 |
+ |
//calculate the total volume |
| 134 |
+ |
|
| 135 |
+ |
double volume = 0.0; |
| 136 |
+ |
for (std::vector<BeadParam>::iterator iter = beads_.begin(); iter != beads_.end(); ++iter) { |
| 137 |
+ |
volume = 4.0/3.0 * NumericConstant::PI * pow((*iter).radius,3); |
| 138 |
+ |
} |
| 139 |
|
|
| 140 |
|
for (std::size_t i = 0; i < nbeads; ++i) { |
| 141 |
|
for (std::size_t j = 0; j < nbeads; ++j) { |
| 143 |
|
C.getSubMatrix(i*3, j*3, Cij); |
| 144 |
|
|
| 145 |
|
Xitt += Cij; |
| 146 |
< |
Xirr += U[i] * Cij; |
| 147 |
< |
Xitr += U[i] * Cij * U[j]; |
| 146 |
> |
Xitr += U[i] * Cij; |
| 147 |
> |
Xirr += -U[i] * Cij * U[j]; |
| 148 |
> |
//Xirr += -U[i] * Cij * U[j] + (0.166*6 * viscosity_ * volume) * I; |
| 149 |
|
} |
| 150 |
|
} |
| 151 |
|
|
| 165 |
|
Mat3x3d Dorr; //rotational diffusion tensor at arbitrary origin O |
| 166 |
|
Mat3x3d Dotr; //translation-rotation couplingl diffusion tensor at arbitrary origin O |
| 167 |
|
|
| 168 |
< |
Mat3x3d XirrInv(0.0); |
| 154 |
< |
Mat3x3d XirrCopy; |
| 155 |
< |
XirrCopy = Xirr; |
| 168 |
> |
const static Mat3x3d zeroMat(0.0); |
| 169 |
|
|
| 170 |
|
Mat3x3d XittInv(0.0); |
| 171 |
< |
Mat3x3d XittCopy; |
| 172 |
< |
XittCopy = Xitt; |
| 173 |
< |
invertMatrix(XittCopy, XittInv); |
| 171 |
> |
XittInv = Xitt.inverse(); |
| 172 |
> |
|
| 173 |
> |
//Xirr may not be inverted,if it one of the diagonal element is zero, for example |
| 174 |
> |
//( a11 a12 0) |
| 175 |
> |
//( a21 a22 0) |
| 176 |
> |
//( 0 0 0) |
| 177 |
> |
Mat3x3d XirrInv; |
| 178 |
> |
XirrInv = Xirr.inverse(); |
| 179 |
|
|
| 180 |
|
Mat3x3d tmp; |
| 181 |
|
Mat3x3d tmpInv; |
| 182 |
|
tmp = Xitt - Xitr.transpose() * XirrInv * Xitr; |
| 183 |
+ |
tmpInv = tmp.inverse(); |
| 184 |
|
|
| 166 |
– |
const static Mat3x3d zeroMat(0.0); |
| 167 |
– |
if (!invertMatrix(tmp, tmpInv)) { |
| 168 |
– |
tmpInv = zeroMat; |
| 169 |
– |
} |
| 170 |
– |
|
| 185 |
|
Dott = kt * tmpInv; |
| 186 |
< |
Dotr = -kt*XirrInv * Xitr * tmpInv; |
| 186 |
> |
Dotr = -kt*XirrInv * Xitr * tmpInv* 1.0E8; |
| 187 |
|
|
| 188 |
< |
tmp = Xirr - Xitr * XittInv * Xitr.transpose(); |
| 188 |
> |
tmp = Xirr - Xitr * XittInv * Xitr.transpose(); |
| 189 |
> |
tmpInv = tmp.inverse(); |
| 190 |
|
|
| 191 |
< |
if(!invertMatrix(tmp, tmpInv)) { |
| 177 |
< |
tmpInv = zeroMat; |
| 178 |
< |
} |
| 179 |
< |
Dorr = kt * tmpInv; |
| 191 |
> |
Dorr = kt * tmpInv*1.0E16; |
| 192 |
|
|
| 193 |
|
//Do.getSubMatrix(0, 0 , Dott); |
| 194 |
|
//Do.getSubMatrix(3, 0, Dotr); |
| 210 |
|
tmpVec[1] = Dotr(2, 0) - Dotr(0, 2); |
| 211 |
|
tmpVec[2] = Dotr(0, 1) - Dotr(1, 0); |
| 212 |
|
|
| 213 |
< |
if(!invertMatrix(tmp, tmpInv)) { |
| 202 |
< |
tmpInv = zeroMat; |
| 203 |
< |
} |
| 213 |
> |
tmpInv = tmp.inverse(); |
| 214 |
|
|
| 215 |
|
Vector3d rod = tmpInv * tmpVec; |
| 216 |
|
|
| 256 |
|
os << "//translational diffusion tensor" << std::endl; |
| 257 |
|
os << props_.transDiff << std::endl; |
| 258 |
|
|
| 259 |
< |
os << "//translational diffusion tensor" << std::endl; |
| 259 |
> |
os << "//translation-rotation coupling diffusion tensor" << std::endl; |
| 260 |
|
os << props_.transRotDiff << std::endl; |
| 261 |
|
|
| 262 |
|
os << "//rotational diffusion tensor" << std::endl; |