Accession Number : ADA300831

Title :   Multi-Dimensional High Order Non-Oscillatory Numerical Methods for Discontinuous Problems in Parallel Structure.

Descriptive Note : Final rept. 1 May 91-30 Apr 95,

Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s) : Shu, Chi-Wang

PDF Url : ADA300831

Report Date : 26 JUN 1995

Pagination or Media Count : 9

Abstract : In this project we have studied high order finite difference, finite element, and spectral methods for the numerical solution of discontinuous or high gradient solutions. Theoretical study of algorithm development, stability, accuracy and convergence analysis, as well as applications of the algorithms to computational fluid dynamics (both compressible and incompressible) and semiconductor device simulation are performed. Parallel implementation issues of these high order methods are also studied.

Descriptors :   *ALGORITHMS, *NUMERICAL ANALYSIS, *COMPUTATIONAL FLUID DYNAMICS, *DISCONTINUITIES, SIMULATION, FINITE ELEMENT ANALYSIS, ACCURACY, SEMICONDUCTOR DEVICES, PROBLEM SOLVING, FINITE DIFFERENCE THEORY, COMPRESSIBLE FLOW, SOLUTIONS(GENERAL), PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, PARALLEL ORIENTATION, INCOMPRESSIBLE FLOW, GRADIENTS.

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE