Wallraff, Marcel and Leicht, Tobias and Lange-Hegermann, Markus (2013) 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, 71 (8), pp. 1055-1072. DOI: DOI: 10.1002/fld.3702. ISSN 0271-2091.
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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.
|Title:||Numerical flux functions for Reynolds-averaged Navier–Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver|
|Date:||28 June 2013|
|Journal or Publication Title:||International Journal for Numerical Methods in Fluids|
|In Open Access:||No|
|In ISI Web of Science:||Yes|
|Page Range:||pp. 1055-1072|
|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 (old)|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L AR - Aircraft Research|
|DLR - Research theme (Project):||L - Simulation & Validation (old)|
|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 2015 13:20|
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