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 .

Full text not available from this repository.

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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