A finite element formulation of compressible flows using various sets of independent variables

N.E. Elkadri; E A Soulaimani; C. Deschenes

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A finite element formulation of compressible flows using various sets of independent variables

机译：使用各种独立变量集的可压缩流的有限元公式

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This paper presents a finite element method for the simulation of compressible flows. The Navier--Stokes and Euler equations are solved in the conservation form using various sets of independent variables. A variational formulation is developed based upon a variant of the Petrov--Galerkin method, and uses a shock-capturing operator. An adaptive algorithm based on a particular residual norm is proposed. Several numerical examples are presented to demonstrate the performances of each set of variables in solving compressible high-speed flows.

机译：本文提出了一种模拟可压缩流动的有限元方法。 Navier-Stokes和Euler方程使用各种自变量集以守恒形式求解。基于Petrov-Galerkin方法的一种变体，开发了一种变体公式，并使用了一种捕捉冲击的算子。提出了一种基于特定残差范数的自适应算法。给出了几个数值示例，以演示每组变量在解决可压缩高速流方面的性能。

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《Computer Methods in Applied Mechanics and Engineering》 |2000年第3期|161-189|共29页
作者
N.E. Elkadri; E A Soulaimani; C. Deschenes;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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A finite element formulation of compressible flows using various sets of independent variables

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