Explicit streamline diffusion finite element methods for the compressible Eular equations in conservation variables

Journal Article · Wed Dec 01 04:00:00 EST 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1217· OSTI ID:7232744

Hansbo, P ^[1]

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1. Chalmers Univ. of Technology, Goeteborg (Sweden)

The paper concerns the streamline diffusion finite element method applied to one- and two-dimensional gas flow described by the inviscid Euler equations in conservation variables. We point out that the streamline diffusion method is a natural finite element analogue to upstream-type finite difference volume schemes and in fact constitutes a general framework for a large class of them. We study explicit implementations of the method and derive different choices of stabilizing streamline diffusion matrices; in particular we propose a consistent, fully multidimensional, version. A brief review of the theoretical background to the method is presented, and some numerical results in two dimensions are given. 24 refs., 13 figs.

• OSTI ID: 7232744
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 109:2; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COMPRESSIBLE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
FLUID FLOW
GALERKIN-PETROV METHOD
ITERATIVE METHODS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS