Skip to Main content Skip to Navigation
Conference papers

A NURBS-based Discontinuous Galerkin method for CAD compliant flow simulations

Abstract : In this work, we explain how a classical nodal Discontinuous Galerkin (DG) method for conservation laws can be modified to be geometrically exact with respect to CAD (Computer-Aided Design) data. The proposed approach relies on the use of rational Bézier elements, that can exactly match geometries defined by NURBS (Non-Uniform Rational B-Splines) after some basic transformations. It has been found convenient to use the same basis to describe the solution, yielding a so-called isogeometric formulation. The resulting method exhibits optimal convergence rates and facilitates couplings with geometry, e.g. for local refinement, shape sensitivity analysis, or moving computational domains. Illustrations are provided for two-dimensional compressible Euler and Navier-Stokes equations.
Complete list of metadata

Cited literature [5 references]  Display  Hide  Download

https://hal.inria.fr/hal-02303621
Contributor : Régis Duvigneau <>
Submitted on : Wednesday, October 2, 2019 - 2:30:13 PM
Last modification on : Wednesday, January 6, 2021 - 9:44:42 AM

File

Duvigneau_NURBS-DG_SHARK-FV201...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02303621, version 1

Citation

Régis Duvigneau, Stefano Pezzano, Maxime Stauffert. A NURBS-based Discontinuous Galerkin method for CAD compliant flow simulations. SHARK-VF 2019 - Conference on Sharing Higher-order Advanced Research Know-how on Finite Volume, May 2019, Minho, Portugal. ⟨hal-02303621⟩

Share

Metrics

Record views

93

Files downloads

494