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Mono-block and non-matching multi-block structured mesh adaptation based on aerodynamic functional total derivatives for RANS flow

Abstract : An enhanced goal-oriented mesh adaptation method is presented based on aerodynamic functional total derivatives with respect to mesh nodes in a Reynolds-Averaged Navier-Stokes (RANS) finite-volume mono-block and non-matching multi-block-structured grid framework. This method falls under the category of methods involving the adjoint vector of the function of interest. The contribution of a Spalart–Allmaras turbulence model is taken into account through its linearization. Meshes are adapted accordingly to the proposed indicator. Applications to 2D RANS flow about a RAE2822 airfoil in transonic, and detached subsonic conditions are presented for the drag coefficient estimation. The asset of the proposed method is patent. The obtained 2D anisotropic mono-block mesh well captures flow features as well as global aerodynamic functionals. Interestingly, the constraints imposed by structured grids may be relaxed by the use of non-matching multi-block approach that limits the outward propagation of local mesh refinement through all of the computational domain. The proposed method also leads to accurate results for these multi-block meshes but at a fraction of the cost. Finally, the method is also successfully applied to a more complex geometry, namely, a mono-block mesh in a 3D RANS transonic flow about an M6 wing.
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https://hal.archives-ouvertes.fr/hal-01426042
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Submitted on : Monday, November 22, 2021 - 3:37:22 PM
Last modification on : Saturday, June 25, 2022 - 10:52:47 PM
Long-term archiving on: : Wednesday, February 23, 2022 - 8:00:45 PM

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A. Resmini, J. Peter, Didier Lucor. Mono-block and non-matching multi-block structured mesh adaptation based on aerodynamic functional total derivatives for RANS flow. International Journal for Numerical Methods in Fluids, Wiley, 2016, ⟨10.1002/fld.4296⟩. ⟨hal-01426042⟩

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