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Application of a line implicit method to fully coupled system of equations for turbulent flow problems

Langer, Stefan (2013) Application of a line implicit method to fully coupled system of equations for turbulent flow problems. International Journal of Computational Fluid Dynamics, 27 (3), pp. 131-150. Taylor & Francis. doi: 10.1080/10618562.2013.784902. ISSN 1061-8562.

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For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smoother in an agglomerated multigrid algorithm to significantly improve the reliability and convergence rate to approximate steady-state solutions of the Reynolds-averaged Navier–Stokes equations. To describe turbulence, we consider a one-equation Spalart–Allmaras turbulence model. The line implicit Runge–Kutta method extends a basic explicit Runge–Kutta method by a preconditioner given by an approximate derivative of the residual function. The approximate derivative is only constructed along predetermined lines which resolve anisotropies in the given grid. Therefore, the method is a canonical generalisation of point implicit methods. Numerical examples demonstrate the improvements of the line implicit Runge–Kutta when compared with explicit Runge–Kutta methods accelerated with local time stepping.

Item URL in elib:https://elib.dlr.de/86373/
Document Type:Article
Title:Application of a line implicit method to fully coupled system of equations for turbulent flow problems
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:3 June 2013
Journal or Publication Title:International Journal of Computational Fluid Dynamics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 131-150
Publisher:Taylor & Francis
Keywords:preconditioned Runge–Kutta methods, line implicit, point implicit, high Reynolds number, turbulent flow problems, agglomerated multigrid
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 - Flight Physics (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Langer, Dr.rer.nat. Stefan
Deposited On:06 Dec 2013 14:21
Last Modified:06 Sep 2019 15:20

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