Accession Number : ADA301993

Title :   Efficient Implementation of Weighted ENO Schemes.

Descriptive Note : Contractor rept.,

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

Personal Author(s) : Jiang, Guang-Shan ; Shu, Chi-Wang

PDF Url : ADA301993

Report Date : OCT 1995

Pagination or Media Count : 42

Abstract : In this paper, we further analyze, test, modify and improve the high order WENO (weighted essentially non-oscillatory) finite difference schemes of Liu, Osher and Chan 9. It was shown by Liu et al. that WENO schemes constructed from the r(th) order (in L(1) norm) ENO schemes are (r + 1)th order accurate. We propose a new way of measuring the smoothness of a numerical solution, emulating the idea of minimizing the total variation of the approximation, which results in a 5th order WENO scheme for the case r = 3, instead of the 4th order with the original

Descriptors :   *FINITE DIFFERENCE THEORY, MATHEMATICAL MODELS, OPTIMIZATION, COMPUTATIONS, SHOCK WAVES, ACCURACY, GAS DYNAMICS, WEIGHTING FUNCTIONS, FLOW FIELDS, APPROXIMATION(MATHEMATICS), POLYNOMIALS, INTERPOLATION, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, VECTOR ANALYSIS, EULER EQUATIONS, NUMERICAL METHODS AND PROCEDURES, PRESSURE DISTRIBUTION, NOZZLE GAS FLOW, ENTROPY, ONE DIMENSIONAL FLOW, SMOOTHING(MATHEMATICS).

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE