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Absence of a term in adjointShapeOptimizationFoam outlet boundary conditions

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April 8, 2013, 08:02	Absence of a term in adjointShapeOptimizationFoam outlet boundary conditions	#1
robyTKD Member Roberto Pieri Join Date: Feb 2012 Location: Milan Posts: 57 Rep Power: 14	Hi Foamers, I have a question about boundary conditions of adjointShapeOptimizationFoam. In particular, following Othmer's procedure in A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows, boundary conditions for the Outlet are: $q = \textbf{u} \cdot \textbf{v} + u_n v_n + \nu (\textbf{n} \cdot \nabla) u_n + \frac{\partial J_{\Gamma}}{v_n}$ $0 = v_n \textbf{u}_t + \nu (\textbf{n} \cdot \nabla) \textbf{u}_t + \frac{\partial J_{\Gamma}}{\textbf{v}_t}$ but I can't find $\nu (\textbf{n} \cdot \nabla) \textbf{u}_t$ and $\nu (\textbf{n} \cdot \nabla) u_n$ in adjointOutletPressureFvPatchScalarField.C and adjointOutletVelocityFvPatchScalarField.C. Are they neglected because they are irrelevant or is simply the normal gradient of adjoint velocity forced to be null? Best regards, Roberto samiam1000, Dome and Garry974 like this.

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