Isogeometric analysis for compressible flows using a Discontinuous Galerkin method

Régis Duvigneau 1
1 Acumes - Analysis and Control of Unsteady Models for Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The objective of this work is to investigate a Discontinuous Galerkin (DG) method for compressible Euler equations, based on an isogeometric formulation: the partial differential equations governing the flow are solved on rational parametric elements, that preserve exactly the geometry of boundaries defined by Non-Uniform Rational B-Splines (NURBS), while the same rational approximation space is adopted for the solution. We propose a new approach to construct a DG-compliant computational domain based on NURBS boundaries and examine the resulting modifications that occur in the DG method. Some two-dimensional test-cases with analytical solutions are finally considered to assess the accuracy and illustrate the capabilities of the proposed approach. The critical role of boundary curvature is especially investigated.
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Soumis le : jeudi 16 novembre 2017 - 15:45:02
Dernière modification le : vendredi 12 janvier 2018 - 01:49:54

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  • HAL Id : hal-01589344, version 2

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Régis Duvigneau. Isogeometric analysis for compressible flows using a Discontinuous Galerkin method. Pre-print submitted to Computer Methods in Applied Mechanics and Engineering. 2017. 〈hal-01589344v2〉

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