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Numerical flux functions for Reynolds-averaged Navier–Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver

Wallraff, Marcel and Leicht, Tobias and Lange-Hegermann, Markus (2012) Numerical flux functions for Reynolds-averaged Navier–Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver. International Journal for Numerical Methods in Fluids. DOI: 10.1002/fld.3702. ISSN 1097-0363.

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.3702/abstract

Abstract

We present an eigen-decomposition of the quasi-linear convective flux formulation of the completely coupled Reynolds-averaged Navier–Stokes and kω turbulence model equations. Based on these results, we formulate different approximate Riemann solvers that can be used as numerical flux functions in a DG discretization. The effect of the different strategies on the solution accuracy is investigated with numerical examples. The actual computations are performed using a p-multigrid algorithm. To this end, we formulate a framework with a backward-Euler smoother in which the linear systems are solved with a general preconditioned Krylov method. We present matrix-free implementations and memory-lean line-Jacobi preconditioners and compare the effects of some parameter choices. In particular, p-multigrid is found to be less efficient than might be expected from recent findings by other authors. This might be due to the consideration of turbulent flow. Copyright © 2012 John Wiley & Sons, Ltd.

Document Type:Article
Title:Numerical flux functions for Reynolds-averaged Navier–Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver
Authors:
AuthorsInstitution or Email of Authors
Wallraff, MarcelMarcel.Wallraff@dlr.de
Leicht, TobiasTobias.Leicht@dlr.de
Lange-Hegermann, Markus markus.lange.hegermann@rwth-aachen.de
Date:28 June 2012
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
In Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI:10.1002/fld.3702
ISSN:1097-0363
Status:Published
Keywords:Reynolds-averaged Navier–Stokes and kω turbulence model p-multigrid algorithm numerical flux functions
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Marcel Wallraff
Deposited On:03 Jul 2012 15:13
Last Modified:26 Mar 2013 13:39

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