A unified finite element formulation for compressible and incompressible flows using augmented conservation variables

S. Mittal, T. Tezduyar

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

A unified approach to computing compressible and incompressible flows is proposed. The governing equation for pressure is selected based on the local Mach number. In the incompressible limit the divergence-free constraint on velocity field determines the pressure, while it is the equation of state that governs the pressure solution for the compressible flows. Stabilized finite element formulations, based on the space-time and semi-discrete methods, with the `augmented' conservation variables are employed. The `augmented' conservation variables consist of the usual conservation variables and pressure as an additional variable. The formulation is applied to various test problems involving steady and unsteady flows over a large range of Mach and Reynolds numbers.

Original languageEnglish
Pages (from-to)229-243
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume161
Issue number3-4
DOIs
Publication statusPublished - 1998 Aug

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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