Universität zu Köln

Beck, Andrea D., Bolemann, Thomas, Flad, David ORCID: 0000-0003-1155-9355, Frank, Hannes, Gassner, Gregor J., Hindenlang, Florian and Munz, Claus-Dieter (2014). RESEARCH PAPER PRESENTED AT ANADE 2013: ADVANCES IN NUMERICAL AND ANALYTICAL TOOLS FOR DETACHED FLOW PREDICTION. Int. J. Numer. Methods Fluids, 76 (8). S. 522 - 549. HOBOKEN: WILEY-BLACKWELL. ISSN 1097-0363

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Abstract

In this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral method simulations of under-resolved transitional and turbulent flows at moderate Reynolds numbers, where the accurate prediction of closely coupled laminar regions, transition and developed turbulence presents a great challenge to large eddy simulation modelling. We take full advantage of the low numerical errors and associated superior scale resolving capabilities of high-order spectral methods by using high-order ansatz functions up to 12th order. We employ polynomial de-aliasing techniques to prevent instabilities arising from inexact quadrature of nonlinearities. Without the need for any additional filtering, explicit or implicit modelling, or artificial dissipation, our high-order schemes capture the turbulent flow at the considered Reynolds number range very well. Three classical large eddy simulation benchmark problems are considered: a circular cylinder flow at Re-D=3900, a confined periodic hill flow at Re-h=2800 and the transitional flow over a SD7003 airfoil at Re-c=60,000. For all computations, the total number of degrees of freedom used for the discontinuous Galerkin spectral method simulations is chosen to be equal or considerably less than the reported data in literature. In all three cases, we achieve an equal or better match to direct numerical simulation results, compared with other schemes of lower order with explicitly or implicitly added subgrid scale models. Copyright (c) 2014 John Wiley & Sons, Ltd.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Beck, Andrea D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Bolemann, Thomas UNSPECIFIED UNSPECIFIED UNSPECIFIED Flad, David UNSPECIFIED orcid.org/0000-0003-1155-9355 UNSPECIFIED Frank, Hannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Hindenlang, Florian UNSPECIFIED UNSPECIFIED UNSPECIFIED Munz, Claus-Dieter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-423121
DOI:	10.1002/fld.3943
Journal or Publication Title:	Int. J. Numer. Methods Fluids
Volume:	76
Number:	8
Page Range:	S. 522 - 549
Date:	2014
Publisher:	WILEY-BLACKWELL
Place of Publication:	HOBOKEN
ISSN:	1097-0363
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LARGE-EDDY SIMULATION; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT-METHOD; NAVIER-STOKES EQUATIONS; STREAMWISE PERIODIC CONSTRICTIONS; CONSERVATION-LAWS; CIRCULAR-CYLINDER; ELLIPTIC PROBLEMS; REYNOLDS-NUMBER; EULER EQUATIONS Multiple languages Computer Science, Interdisciplinary Applications; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42312