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Embedded and high-order meshes : two alternatives to linear body-fitted meshes

Abstract : The numerical simulation of complex physical phenomenons usually requires a mesh. In Computational Fluid Dynamics, it consists in representing an object inside a huge control volume. This object is then the subject of some physical study. In general, this object and its bounding box are represented by linear surface meshes and the intermediary zone is filled by a volume mesh. The aim of this thesis is to have a look on two different approaches for representing the object. The first approach called embedded method consist in integrally meshing the bounding box volume without explicitly meshing the object in it. In this case, the presence of the object is implicitly simulated by the CFD solver. The coupling of this method with linear mesh adaptation is in particular discussed.The second approach called high-order method consist on the contrary by increasing the polynomial order of the surface mesh of the object. The first step is therefore to generate a suitable high-order mesh and then to propagate the high-order information in the neighboring volume if necessary. In this context, it is mandatory to make sure that such modifications are valid and then the extension of classic mesh modification techniques has to be considered.
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Submitted on : Thursday, December 19, 2019 - 10:51:10 AM
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  • HAL Id : tel-02418864, version 1

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Rémi Feuillet. Embedded and high-order meshes : two alternatives to linear body-fitted meshes. Numerical Analysis [math.NA]. Université Paris-Saclay, 2019. English. ⟨NNT : 2019SACLY010⟩. ⟨tel-02418864⟩

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