Kadioglu, S.Y. and Minion, M.L. and Klein, R. (2008) A Fourth-Order Auxiliary Variable Projection Method for Zero-Mach Number Gas Dynamics. Journal of Computational Physics , 227 (3). 2012-2043 .
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Official URL: http://www.sciencedirect.com/science?_ob=ArticleUR...
Abstract
A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Impulse methods; Gauge methods; Auxiliary variable methods; Projection methods; Deferred corrections; Gas dynamics |
| Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |
| ID Code: | 549 |
| Deposited By: | Ulrike Eickers |
| Deposited On: | 17 Jul 2009 07:36 |
| Last Modified: | 03 Mar 2017 14:40 |
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