SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices

J. Ed Akin, Tayfun E. Tezduyar

研究成果: Conference contribution

抄録

We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ("τ") used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the "UGN-based" and element-matrix-based calculations and the calculations from the quadrature-point components of the element-level matrices. Our investigation shows that the performances of all three definitions are comparable, with the element-based definitions yielding somewhat lower τ values and the quadrature-point-based definitions somewhat higher. We also show that for both the element-based and quadrature-point-based definitions, as the polynomial orders increase, the τ values decrease, as they should.

元の言語English
ホスト出版物のタイトルECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
出版物ステータスPublished - 2004
外部発表Yes
イベントEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla
継続期間: 2004 7 242004 7 28

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Jyvaskyla
期間04/7/2404/7/28

Fingerprint

Petrov-Galerkin
Streamlines
Quadrature
Stabilization
Advection
Higher-order Elements
Linear Order
Polynomials
Test Problems
Decrease
Polynomial
Formulation

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

これを引用

Akin, J. E., & Tezduyar, T. E. (2004). SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. : ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. / Akin, J. Ed; Tezduyar, Tayfun E.

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

研究成果: Conference contribution

Akin, JE & Tezduyar, TE 2004, SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. : 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.
Akin JE, Tezduyar TE. SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. : ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. 2004
Akin, J. Ed ; Tezduyar, Tayfun E. / SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering. 2004.
@inproceedings{abe140d3b3764a49b2002f656d79e9df,
title = "SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices",
abstract = "We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ({"}τ{"}) used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the {"}UGN-based{"} and element-matrix-based calculations and the calculations from the quadrature-point components of the element-level matrices. Our investigation shows that the performances of all three definitions are comparable, with the element-based definitions yielding somewhat lower τ values and the quadrature-point-based definitions somewhat higher. We also show that for both the element-based and quadrature-point-based definitions, as the polynomial orders increase, the τ values decrease, as they should.",
keywords = "Advective limit, Element length, Higher-order elements, Stabilization parameters, SUPG formulation",
author = "Akin, {J. Ed} and Tezduyar, {Tayfun E.}",
year = "2004",
language = "English",
booktitle = "ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering",

}

TY - GEN

T1 - SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices

AU - Akin, J. Ed

AU - Tezduyar, Tayfun E.

PY - 2004

Y1 - 2004

N2 - We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ("τ") used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the "UGN-based" and element-matrix-based calculations and the calculations from the quadrature-point components of the element-level matrices. Our investigation shows that the performances of all three definitions are comparable, with the element-based definitions yielding somewhat lower τ values and the quadrature-point-based definitions somewhat higher. We also show that for both the element-based and quadrature-point-based definitions, as the polynomial orders increase, the τ values decrease, as they should.

AB - We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ("τ") used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the "UGN-based" and element-matrix-based calculations and the calculations from the quadrature-point components of the element-level matrices. Our investigation shows that the performances of all three definitions are comparable, with the element-based definitions yielding somewhat lower τ values and the quadrature-point-based definitions somewhat higher. We also show that for both the element-based and quadrature-point-based definitions, as the polynomial orders increase, the τ values decrease, as they should.

KW - Advective limit

KW - Element length

KW - Higher-order elements

KW - Stabilization parameters

KW - SUPG formulation

UR - http://www.scopus.com/inward/record.url?scp=84893442658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893442658&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84893442658

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

ER -