Anisotropic Adaptive Nearly Body-Fitted Meshes for CFD
(2013) International Conference on Adaptive Modeling and Simulation (ADMOS 2013) — Location: Lisbonne, Portugal (3.June.2013)
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- Abstract
- This paper presents a numerical study of a recent technique that consists in modeling embedded geometries by a level-set representation in combination with local anisotropic mesh refinement. This method proves beneficial in CFD simulations involving complex geometries, as it suppresses the need for the tedious process of body-fitted mesh generation, without altering the finite element formulation nor the prescription of boundary conditions. The first part of the study deals with a simple Laplace problem featuring a planar interface on which a Dirichlet boundary condition is imposed. It is shown that the appropriate amount of local isotropic refinement yields the optimal convergence, unlike uniform refinement. Anisotropic refinement further ensures geometric convergence and limits the growth of the number of unknowns. The second part deals with the adaptive strategy for CFD problems. We show that the methodology yields accurate flow solutions, despite very limited user interaction.
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Citations
Toulorge, T., Quan, D. L., Marchandise, E., & Remacle, J.-F. (2013). Anisotropic Adaptive Nearly Body-Fitted Meshes for CFD. In J. P. Moitinho de Almeida ; P. Díez ; C. Tiago ; N. Parés (Eds.) (ed.), Adaptive Modeling and Simulation 2013 (p. p. 652-657). International Center for Numerical Methods in Engineering (CIMNE). https://hdl.handle.net/2078.5/40701