Work

A one-dimensional shock capturing Petrov-Galerkin finite element method and two-dimensional generalization.

Year: 1986

Type: article

Abstract: Two-dimensional generalization of a one-dimensional Petrov-Galerkin finite element shock capturing scheme is proposed. It is emphasized that the "preferred direction upwinding" is important in multi-dimensional applications. Scheme is developed for the two-dimensional Euler equations which stand for the invicid compressible flow problem. One, based upon characteristics, employs the Mach lines and streamline as preferred directions.

Source: The Journal of the Japan Society of Aeronautical Engineering

DOI: 10.2322/jjsass1969.34.316

Authors: Yoshihiro TAKI, Thomas J.R. HUGHES

Institution: Stanford University

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W1968896037

FWCI:

Cites: 10

Cited by:

Related to: 10