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Communication Dans Un Congrès Année : 2023

Vertex-centered MEV MUSCL scheme in mixed-element meshes

Résumé

In the context of fluid dynamics calculations, unstruc- tured mesh adaptation has proven to reduce significantly the mesh size while keeping a high level of accuracy and automating the process of mesh generation [2]–[5]. However some kinds of phenomena, such as boundary layers, are better captured by numerical schemes designed for structured meshes that are aligned with the boundary of the domain. In order to take advantage of unstructured mesh adaptation and meet some directional requirements, mixed-element meshes appear to be a good compromise. In this talk, we describe how gradient discretization in such cases is clearly not trivial and three different formulations are required to maintain a second-order accuracy. Convective fluxes are discretized using an appropriate modified version of the Vertex Centered Mixed Element-Volume (V4) MUSCL scheme [1], enabling the treatment of quadrilateral and prismatic elements. Viscous fluxes are discretized using the APproximated Finite Element (APFE) method [6]. Nodal gradients in boundary and sources terms are discretized with a generalization of Clement’s L2-operator for mixed-element meshes. Some numerical results for 3D mixed-element meshes involving tetrahedra, prisms and pyramids will be shown. Some of these will be those obtained on best practice meshes of AIAA DPW6.

Dates et versions

hal-04401296 , version 1 (17-01-2024)

Identifiants

Citer

Cosimo Tarsia Morisco, Julien Vanharen, Frédéric Alauzet. Vertex-centered MEV MUSCL scheme in mixed-element meshes. CSME/CFD 2023 - Canadian Society for Mechanical Engineering / Computational Fluid Dynamics Society of Canada, May 2023, Sherbrooke, Canada. ⟨10.17118/11143/20887⟩. ⟨hal-04401296⟩
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