Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522223 | Journal of Computational Physics | 2012 | 32 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Samet Y. Kadioglu, Rupert Klein, Michael L. Minion,