Article Dans Une Revue ESAIM: Proceedings Année : 2011

Extension of ALE methodology to unstructured conical meshes

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We propose a bi-dimensional nite volume extension of a continuous ALE method on unstructured cells whose edges are parameterized by rational quadratic Bezier curves. For each edge, the control point possess a weight that permits to represent any conic (see for example [LIGACH]) and thanks to [WAGUSEDE,WAGU], we are able to compute the exact area of our cells. We then give an extension of scheme for remapping step based on volume uxing [MARSHA] and selfintersection ux [ALE2DHAL]. For the rezoning phase, we propose a three step process based on moving nodes, followed by control point and weight re-adjustment. Finally, for the hydrodynamic step, we present the GLACE scheme [GLACE] extension (at rst-order) on conic cell using the same formalism. We only propose some preliminary rst-order simulations for each steps: Remap, Pure Lagrangian and nally ALE (rezoning and remapping).

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hal-00777271 , version 1 (05-04-2022)

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Benjamin Boutin, Erwan Deriaz, Philippe Hoch, Pierre Navaro. Extension of ALE methodology to unstructured conical meshes. ESAIM: Proceedings, 2011, 32, pp.32-55. ⟨10.1051/proc/2011011⟩. ⟨hal-00777271⟩
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