UNSPECIFIED (2003) Differential equation-based wall distance computation for DES and RANS. JOURNAL OF COMPUTATIONAL PHYSICS, 190 (1). pp. 229-248. ISSN 0021-9991

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Abstract

Surprisingly expensive to compute wall distances are still used in a range of key turbulence and peripheral physics models. Potentially economical, accuracy improving differential equation-based distance algorithms are considered. These involve elliptic Poisson and a hyperbolic-natured Eikonal equation approaches. Numerical issues relating to non-orthogonal curvilinear grid solution of the latter are addressed. Eikonal extension to a Hamilton-Jacob equation is discussed. Use of this extension to improve turbulence model accuracy and, along with the Eikonal, enhance detached eddy simulation (DES) techniques is considered. Application of the distance approaches is studied for various geometries. These include a plane channel flow with a wire at the centre, a wing-flap system, and a supersonic double-delta configuration. Although less accurate than the Eikonal, Poisson method-based flow solutions are extremely close to those using a search procedure. For a moving grid case the Poisson method is found especially efficient. Results show that the Eikonal equation can be solved on highly stretched, non-orthogonal, and curvilinear grids. A key accuracy aspect is that metrics must be upwinded in the propagating front direction. The Hamilton-Jacobi equation is found to have qualitative turbulence model improving properties. (C) 2003 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QC Physics
Journal or Publication Title:	JOURNAL OF COMPUTATIONAL PHYSICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0021-9991
Date:	1 September 2003
Volume:	190
Number:	1
Number of Pages:	20
Page Range:	pp. 229-248
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/8650

Data sourced from Thomson Reuters' Web of Knowledge

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