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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2021 013, 44 pp. (Mi ipmp2931)

On the use of a cell-centered finite-volume scheme on prismatic meshes in boundary layers

P. A. Bakhvalov


Abstract: We consider the cell-centered finite-volume scheme with the quasi-one-dimensional reconstruction and generalize it to anisotropic prismatic meshes suitable for high-Reynolds-number problems. We offer a new algorithm of flux computation based on the reconstruction along the wall surface, whereas in the original schemes it was along the tangent to the wall surface. We also study how does the curvature of mesh elements influence the accuracy if taken into account.

Keywords: unstructured mesh, prismatic layer, finite­volume method, cellcentered scheme, multislope MUSCL method.

DOI: 10.20948/prepr-2021-13



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