A high-order h-adaptive discontinuous Galerkin method for unstructured grids based on a posteriori error estimation
| Autor: | Pascal Frey, Francesca Basile, Romain Laraufie, Jean-Baptiste Chapelier, Marta de la Llave Plata |
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| Přispěvatelé: | DAAA, ONERA, Université Paris-Saclay [Châtillon], ONERA-Université Paris-Saclay, ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Airbus Operation S.A.S., Airbus [France], Sorbonne Université (SU) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Airfoil
[PHYS]Physics [physics] Degrees of freedom (statistics) Estimator Laminar flow 010103 numerical & computational mathematics 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics [SPI]Engineering Sciences [physics] méthodes d'ordre élevé Discontinuous Galerkin method maillage non-structuré 0103 physical sciences A priori and a posteriori Cylinder Applied mathematics adaptation hp Degree of a polynomial Galerkin discontinu 0101 mathematics estimation d'erreur a posteriori Mathematics |
| Zdroj: | AIAA Scitech 2021 Forum AIAA Scitech 2021 Forum, Jan 2021, VIRTUAL EVENT, United States. ⟨10.2514/6.2021-1696⟩ Scopus-Elsevier |
| DOI: | 10.2514/6.2021-1696⟩ |
| Popis: | International audience; In this paper, we present a mesh h-adaptation strategy suited for the discontinuous Galerkin formulation of the compressible Navier-Stokes equations on unstructured grids, based on the simplicial remeshing library MMG. A novel a posteriori error estimator, combining the measure of the energy associated with the highest-order modes and the inter-element jumps, is used to build the metric field. The performance of the developed mesh adaptation algorithm is assessed for steady laminar viscous flows past a square cylinder and past a NACA0012 airfoil, and for the unsteady laminar viscous flow past a circular cylinder. The gain in accuracy for a given number of degrees of freedom (DoFs) is demonstrated for = 1, = 2 and = 3 polynomial degrees, with respect to uniformly refined simulations. |
| Databáze: | OpenAIRE |
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