Accession Number : ADA316070

Title :   Quadrature-Free Implementation of Discontinuous Galerkin Method for Hyperbolic Equations.

Descriptive Note : Contractor rept.,

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

Personal Author(s) : Atkins, H. L. ; Shu, Chi-Wang

PDF Url : ADA316070

Report Date : AUG 1996

Pagination or Media Count : 36

Abstract : A discontinuous Galerkin formulation that avoids the use of discrete quadrature formulas is described and applied to linear and nonlinear test problems in one and two space dimensions. This approach requires less computational time and storage than conventional implementations but preserves the compactness and robustness inherent in the discontinuous Galerkin method. Test problems include the linear and nonlinear one-dimensional scalar advection of smooth initial value problems that are discretized by using unstructured grids with varying degrees of smoothness and regularity, and two-dimensional linear Euler solutions on unstructured grids.

Descriptors :   *NUMERICAL INTEGRATION, *EULER EQUATIONS, TIME DEPENDENCE, SHOCK WAVES, ACCURACY, COMPUTATIONAL FLUID DYNAMICS, FINITE DIFFERENCE THEORY, NONLINEAR SYSTEMS, APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, CONVERGENCE, SYSTEMS ANALYSIS, UNSTEADY FLOW, APPLIED MATHEMATICS.

Subject Categories : Operations Research
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE