p-version space-time least-squares finite-element method for unsteady convection-diffusion and Burgers´ equations

Author

Liang, Shin-Jye

Author_Institution

Nat. Center for High-Performance Comput., Hsinchu, Taiwan

fYear

1997

fDate

28 Apr-2 May 1997

Firstpage

277

Lastpage

282

Abstract

A p-version-based space-time least-squares finite-element method (STLSFEM) is presented in this study. The method is applied to unsteady convection-diffusion and Burgers´ equations which contain sharp gradients. Computed results demonstrates the stability, accuracy and efficiency of the present method for both linear and non-linear model problems. The method provides the basis for the extension of the space-time coupled least-squares minimization concept to multi-dimensional unsteady problems and appears to have great potential in computational fluid dynamics

Keywords

convection; diffusion; finite element analysis; flow simulation; fluid dynamics; least squares approximations; mechanical engineering computing; minimisation; numerical stability; Burgers´ equations; accuracy; computational fluid dynamics; efficiency; linear model problems; multi-dimensional unsteady problems; nonlinear model problems; p-version space-time least-squares finite-element method; sharp gradients; space-time coupled least-squares minimization concept; stability; unsteady convection-diffusion equations; Computational fluid dynamics; Differential equations; Finite difference methods; Finite element methods; Integral equations; Minimization methods; Nonlinear equations; Numerical stability; Optimization methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

High Performance Computing on the Information Superhighway, 1997. HPC Asia '97

Conference_Location

Seoul

Print_ISBN

0-8186-7901-8

Type

conf

DOI

10.1109/HPC.1997.592160

Filename

592160