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Adjoint sensitivity on specified surface

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Old   April 29, 2013, 06:05
Default Adjoint sensitivity on specified surface
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Roberto Pieri
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Hi Foamers,

I would like to compute shape sensitivity of a specified surface after every time cycle of adjointShapeOptimizationFoam.
The formula is:

G = \frac{\vec{d} \cdot \nabla p}{C_{\infty}} - \nu \left[ \left( \vec{n} \cdot \nabla \right) \left( \vec{n} \cdot \nabla \right) \vec{v} \right] \cdot \vec{\Psi}^u

where:

\vec{d} = (\cos (\alpha), \sin (\alpha))

C_{\infty} = \frac{1}{2} \rho U_{\infty}^2

\vec{v} primal vector velocity

p pressure

\vec{\Psi}^u vector adjoint velocity

Is it possible to create a post-processing script like forceCoeffs.C in order to store the sensitivity of every cell on the specified surface? Is it also possible to store its integral on the surface?

Another idea is to compute the sensitivity at each time step in the solver (adjointShapeOptimizationFoam.C), is it a simpler way to proceed?

Thank you,
Roberto
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