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| #include "SIBS.H" |
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| |
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| void Foam::SIBS::SIMPR |
| ( |
| const scalar xStart, |
| const scalarField& y, |
| const label li, |
| const scalarField& dydx, |
| const scalarField& dfdx, |
| const scalarSquareMatrix& dfdy, |
| const scalar deltaX, |
| const label nSteps, |
| scalarField& yEnd |
| ) const |
| { |
| scalar h = deltaX/nSteps; |
|
|
| scalarSquareMatrix a(n_); |
| for (label i=0; i<n_; i++) |
| { |
| for (label j=0; j<n_; j++) |
| { |
| a(i, j) = -h*dfdy(i, j); |
| } |
| ++a(i, i); |
| } |
|
|
| labelList pivotIndices(n_); |
|
|
| if (pivot_) |
| { |
| LUDecompose(a, pivotIndices); |
| } |
| else |
| { |
| LUDecompose(a); |
| } |
|
|
| for (label i=0; i<n_; i++) |
| { |
| yEnd[i] = h*(dydx[i] + h*dfdx[i]); |
| } |
|
|
| if (pivot_) |
| { |
| LUBacksubstitute(a, pivotIndices, yEnd); |
| } |
| else |
| { |
| LUBacksubstitute(a, yEnd); |
| } |
|
|
| scalarField del(yEnd); |
| scalarField ytemp(n_); |
|
|
| for (label i=0; i<n_; i++) |
| { |
| ytemp[i] = y[i] + del[i]; |
| } |
|
|
| scalar x = xStart + h; |
|
|
| odes_.derivatives(x, ytemp, li, yEnd); |
|
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| for (label nn=2; nn<=nSteps; nn++) |
| { |
| for (label i=0; i<n_; i++) |
| { |
| yEnd[i] = h*yEnd[i] - del[i]; |
| } |
|
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| if (pivot_) |
| { |
| LUBacksubstitute(a, pivotIndices, yEnd); |
| } |
| else |
| { |
| LUBacksubstitute(a, yEnd); |
| } |
|
|
| for (label i=0; i<n_; i++) |
| { |
| ytemp[i] += (del[i] += 2*yEnd[i]); |
| } |
|
|
| x += h; |
|
|
| odes_.derivatives(x, ytemp, li, yEnd); |
| } |
| for (label i=0; i<n_; i++) |
| { |
| yEnd[i] = h*yEnd[i] - del[i]; |
| } |
|
|
| if (pivot_) |
| { |
| LUBacksubstitute(a, pivotIndices, yEnd); |
| } |
| else |
| { |
| LUBacksubstitute(a, yEnd); |
| } |
|
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| for (label i=0; i<n_; i++) |
| { |
| yEnd[i] += ytemp[i]; |
| } |
| } |
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