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Optimization with the Source term in NS equation

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Old   November 3, 2014, 01:57
Default Optimization with the Source term in NS equation
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I am interested in shape optimization of a 3D wing shape in Incompressible flow conditions with a source term in the NS equation. can I get help in doing so? However I already have my own subroutine which calculates the flux and I want to put as a source term in the governing equation and finally use it in the optimization procedure this will also include to modify the adjoint equation. Please let me know if this is possible.

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Old   January 5, 2015, 15:53
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Thomas D. Economon
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Sorry for a slow reply. Indeed, it is straightforward to include source terms in the flow and adjoint problems.

You can add an additional source term in the direct problem in the routine CEulerSolver::Source_Residual(...) in the file solver_direct_mean.cpp. You might follow the rotating frame source term at the top of the routine as an example.

Similarly, the source term can be included for the adjoint equations: after the proper derivation, the required adjoint source term should be the transpose of the Jacobian of the direct source term with respect to the conservative variables multiplied by the adjoint state. This can then be included in the CAdjNSSolver::Source_Residual(...) routine in the solver_adjoint_mean.cpp file.

Hope this helps,

Thomas D. Economon
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