Universität zu Köln

Beck, Andrea D., Flad, David G., Tonhaeuser, Claudia, Gassner, Gregor J. ORCID: 0000-0002-1752-1158 and Munz, Claus-Dieter (2016). On the Influence of Polynomial De-aliasing on Subgrid Scale Models. Flow Turbul. Combust., 97 (2). S. 475 - 512. DORDRECHT: SPRINGER. ISSN 1573-1987

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Abstract

In this work we investigate the interplay of polynomial de-aliasing and sub-grid scale models for large eddy simulations based on discontinuous Galerkin discretizations. It is known that stability is a major concern when simulating underresolved turbulent flows with high order nodal collocation type discretizations. By changing the interpolatory character of the nodal collocation type discretization to a projection based discretization by increasing the number of quadrature points (polynomial de-aliasing), one is able to remove the aliasing induced stability problems. We focus on this effect and on the consequence for large eddy simulations with explicit subgrid scale models. Often, subgrid scale models have to achieve two possibly conflicting tasks in a single simulation: firstly stabilizing the numerics and secondly modeling the physical effect of the missing scales. Within a discontinuous Galerkin approach, it is possible to use either a fast (but potentially aliasing afflicted) nodal collocation discretization or a projection-based (but computationally costly) variant in combination with an explicit subgrid scale model. We use this framework to investigate the effect on the appropriate model parameter of a standard Smagorinsky subgrid scale model and of a Variational Multiscale Smagorinsky formulation. For this we first consider the 3-D viscous Taylor-Green vortex example to investigate the impact on the stability of the method and second the turbulent flow past a circular cylinder to investigate and compare the accuracy of the results. We show that the aliasing instabilities of collocative discretizations severely limit the choice of the model constant, in particular for high order schemes, while for de-aliased DG schemes, the closure model parameters can be chosen independently from the numerical scheme. For the cylinder flow, we also find that for the same model settings, the projection-based results are in better agreement with the reference DNS than those of the collocative scheme.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Beck, Andrea D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Flad, David G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tonhaeuser, Claudia UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. ggassner@math.uni-koeln.de orcid.org/0000-0002-1752-1158 UNSPECIFIED Munz, Claus-Dieter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-265256
DOI:	10.1007/s10494-016-9704-y
Journal or Publication Title:	Flow Turbul. Combust.
Volume:	97
Number:	2
Page Range:	S. 475 - 512
Date:	2016
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1573-1987
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LARGE-EDDY SIMULATION; FINITE-ELEMENT-METHOD; DISCONTINUOUS GALERKIN METHODS; CIRCULAR-CYLINDER; CONSERVATION-LAWS; TURBULENCE; FLOW; ERRORS Multiple languages Thermodynamics; Mechanics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26525