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

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
Externally publishedYes

Fingerprint

compressible flow
incompressible flow
Compressible flow
Incompressible flow
conservation
Conservation
formulations
Mach number
unsteady flow
steady flow
Steady flow
Unsteady flow
Equations of state
Reynolds number
divergence
equations of state
velocity distribution

ASJC Scopus subject areas

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

Cite this

@article{72c339ef8fb94424ba0aecc0c9910790,
title = "A unified finite element formulation for compressible and incompressible flows using augmented conservation variables",
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.",
author = "S. Mittal and Tezduyar, {Tayfun E.}",
year = "1998",
doi = "10.1016/S0045-7825(97)00318-6",
language = "English",
volume = "161",
pages = "229--243",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "3-4",

}

TY - JOUR

T1 - A unified finite element formulation for compressible and incompressible flows using augmented conservation variables

AU - Mittal, S.

AU - Tezduyar, Tayfun E.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032508401&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032508401&partnerID=8YFLogxK

U2 - 10.1016/S0045-7825(97)00318-6

DO - 10.1016/S0045-7825(97)00318-6

M3 - Article

AN - SCOPUS:0032508401

VL - 161

SP - 229

EP - 243

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 3-4

ER -