Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Citations (Scopus)

Abstract

The Streamline-Upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows, The formulation includes a stabilization parameter, which is mostly known as "τ" and plays a significant part in determining the accuracy of the solution. Typically the SUPG formulation is used in combination with, a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter that plays an important role in determining the quality of the solution near the shocks. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are far simpler than the one based on the entropy variables and involve less operations in calculating the shock-capturing term.

Original languageEnglish
Title of host publicationECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
Publication statusPublished - 2004
Externally publishedYes
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla
Duration: 2004 Jul 242004 Jul 28

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CityJyvaskyla
Period04/7/2404/7/28

Fingerprint

Shock Capturing
Compressible flow
Compressible Flow
Stabilization
Formulation
Conservation
Petrov-Galerkin
Entropy
Streamlines
Shock
Term
Finite Element
Stabilized Methods

Keywords

  • Compressible flows
  • Finite element formulation
  • Shock-capturing parameter
  • Stabilization parameters
  • SUPG stabilization

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

Cite this

Tezduyar, T. E. (2004). Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows. In ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows. / Tezduyar, Tayfun E.

ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. 2004.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tezduyar, TE 2004, Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows. in ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, 04/7/24.
Tezduyar TE. Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows. In ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. 2004
Tezduyar, Tayfun E. / Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows. ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. 2004.
@inproceedings{3019f05d2db2492282aab23bad6b449d,
title = "Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows",
abstract = "The Streamline-Upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows, The formulation includes a stabilization parameter, which is mostly known as {"}τ{"} and plays a significant part in determining the accuracy of the solution. Typically the SUPG formulation is used in combination with, a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter that plays an important role in determining the quality of the solution near the shocks. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are far simpler than the one based on the entropy variables and involve less operations in calculating the shock-capturing term.",
keywords = "Compressible flows, Finite element formulation, Shock-capturing parameter, Stabilization parameters, SUPG stabilization",
author = "Tezduyar, {Tayfun E.}",
year = "2004",
language = "English",
booktitle = "ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering",

}

TY - GEN

T1 - Determination of the stabilization and shock-capturing parameters in supg formulation of compressible flows

AU - Tezduyar, Tayfun E.

PY - 2004

Y1 - 2004

N2 - The Streamline-Upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows, The formulation includes a stabilization parameter, which is mostly known as "τ" and plays a significant part in determining the accuracy of the solution. Typically the SUPG formulation is used in combination with, a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter that plays an important role in determining the quality of the solution near the shocks. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are far simpler than the one based on the entropy variables and involve less operations in calculating the shock-capturing term.

AB - The Streamline-Upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows, The formulation includes a stabilization parameter, which is mostly known as "τ" and plays a significant part in determining the accuracy of the solution. Typically the SUPG formulation is used in combination with, a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter that plays an important role in determining the quality of the solution near the shocks. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are far simpler than the one based on the entropy variables and involve less operations in calculating the shock-capturing term.

KW - Compressible flows

KW - Finite element formulation

KW - Shock-capturing parameter

KW - Stabilization parameters

KW - SUPG stabilization

UR - http://www.scopus.com/inward/record.url?scp=84893447567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893447567&partnerID=8YFLogxK

M3 - Conference contribution

BT - ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

ER -