A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Kadioglu SY; Klein R; Minion ML

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A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

机译：零马赫数气体动力学的四阶辅助变量投影方法

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摘要

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. (C) 2007 Elsevier Inc. All rights reserved.

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《Journal of Computational Physics》 |2008年第3期|共32页
作者
Kadioglu SY; Klein R; Minion ML;
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正文语种 eng
中图分类应用物理学;
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impulse methods; gauge methods; auxiliary variable methods; projection methods; deferred corrections; gas dynamics; NAVIER-STOKES EQUATIONS; VISCOUS INCOMPRESSIBLE-FLOW; DEFERRED CORRECTION METHODS; ORDINARY DIFFERENTIAL-EQUATIONS; SEMIIMPLICIT NUMERICAL SCHEME; CONSISTENT MASS MATRIX; FRACTIONAL-STEP METHOD; FINITE-ELEMENT METHOD; FLUID-FLOW; EULER EQUATIONS;

机译：脉冲法;量规法;辅助变量法;投影法;延期校正;气体动力学;Navier-Stokes方程;粘性不可压流;递归修正方法;普通微分方程;半隐式数字方案;恒定质量矩阵;有限元方法;流体流动;欧拉方程;

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1. A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics [J] . Kadioglu SY, Klein R, Minion ML Journal of Computational Physics . 2008,第3期

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5. Continuous/discontinuous Galerkin methods for fourth-order elliptic problems. [D] . Engel, Gerald. 2001

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6. Projection to latent pathways (PLP): a constrained projection to latent variables (PLS) method for elementary flux modes discrimination [O] . Ana R Ferreira, João ML Dias, Ana P Teixeira, 2011

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7. A Fourth-Order Auxiliary Variable Projection Method for Zero-Mach Number Gas Dynamics [O] . Samet Y. Kadioglu, Rupert Klein, Michael L. Minion 2010

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8. Variable Node Finite Element Method Applied to the Gas Dynamics Equations. [R] . Mosher, M. C. 1985

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A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

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