Discontinuous Galerkin (DG) methods are very well suited for the construction of very high-order approximations of the Euler and Navier–Stokes equations on unstructured and possibly nonconforming grids, but are rather demanding in terms of computational resources. In order to improve the computational efficiency of this class of methods, a high-order spectral element DG approximation of the Navier–Stokes equations coupled with a p-multigrid solution strategy based on a semi-implicit Runge–Kutta smoother is considered here. The effectiveness of the proposed approach in the solution of compressible shockless flow problems is demonstrated on 2D inviscid and viscous test cases by comparison with both a p-multigrid scheme with non-spectral elements and a spectral element DG approach with an implicit time integration scheme.

Spectral p-multigrid discontinuous Galerkin solution of the Navier-Stokes equations

BASSI, Francesco;FRANCHINA, Nicoletta;
2011-01-01

Abstract

Discontinuous Galerkin (DG) methods are very well suited for the construction of very high-order approximations of the Euler and Navier–Stokes equations on unstructured and possibly nonconforming grids, but are rather demanding in terms of computational resources. In order to improve the computational efficiency of this class of methods, a high-order spectral element DG approximation of the Navier–Stokes equations coupled with a p-multigrid solution strategy based on a semi-implicit Runge–Kutta smoother is considered here. The effectiveness of the proposed approach in the solution of compressible shockless flow problems is demonstrated on 2D inviscid and viscous test cases by comparison with both a p-multigrid scheme with non-spectral elements and a spectral element DG approach with an implicit time integration scheme.
journal article - articolo
2011
Bassi, Francesco; Franchina, Nicoletta; Ghidoni, Antonio; Rebay, Stefano
File allegato/i alla scheda:
File Dimensione del file Formato  
Spectral p-multigrid discontinuous Galerkin solution of the Navier–Stokes equations.pdf

Solo gestori di archivio

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 283.38 kB
Formato Adobe PDF
283.38 kB Adobe PDF   Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/24603
Citazioni
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 17
social impact