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Preprints, Working Papers, ... Year : 2017

Isogeometric analysis for compressible flows using a Discontinuous Galerkin method

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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Dates and versions

hal-01589344 , version 1 (18-09-2017)
hal-01589344 , version 2 (16-11-2017)
hal-01589344 , version 3 (01-02-2018)

Identifiers

  • HAL Id : hal-01589344 , version 1

Cite

Régis Duvigneau. Isogeometric analysis for compressible flows using a Discontinuous Galerkin method. 2017. ⟨hal-01589344v1⟩
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