Accession Number : ADA329450

Title :   The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Cockburn, Bernardo ; Shu, Chi-Wang

PDF Url : ADA329450

Report Date : SEP 1997

Pagination or Media Count : 37

Abstract : This is the fifth paper in a series in which we construct and study the so-called Range-Kutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws. The algorithms are described and discussed, including algorithm formulation and practical implementation issues such as the numerical fluxes, quadrature rules, degrees of freedom, and the slope limiters, both in the triangular and the rectangular element cases. Numerical experiments for two dimensional Euler equations of compressible gas dynamics are presented that show the effect of the (formal) order of accuracy and the use of triangles or rectangles, on the quality of the approximation.

Descriptors :   *DIFFERENTIAL GEOMETRY, *GALERKIN METHOD, GAS DYNAMICS, DEGREES OF FREEDOM, COMPRESSIBLE FLOW, NONLINEAR SYSTEMS, BOUNDARY VALUE PROBLEMS, EULER EQUATIONS.

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE