Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. III: Unstructured meshes. (English) Zbl 1101.76356
Summary: The present paper is the third article (see Zbl 1101.76350 for Part II) in a three-part series on anisotropic mesh adaptation and its application to two- and three-dimensional, structured and unstructured meshes. This third paper concerns the application of the full adaptation methodology to 2-D unstructured meshes, including all four mesh modification strategies presented in Part I (Zbl 0981.76052), i.e. refinement/coarsening, edge swapping and node movement. The mesh adaptation procedure is validated through a careful monitoring of a single adaptation step and of the solution-adaptation loop. Independence from the initial mesh and from the flow solver is illustrated. The efficiency of the overall methodology is investigated on relevant laminar and turbulent flow benchmarks.
MSC:
76M10 | Finite element methods applied to problems in fluid mechanics |
76N15 | Gas dynamics (general theory) |
65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |
Keywords:
edge-based error estimator; anisotropic mesh adaptation; unstructured meshes; coupled solution–adaptationReferences:
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