Accession Number : ADA192385

Title :   Research in Applied Mathematics.

Descriptive Note : Final rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DEPT OF APPLIED MATHEMATICS

Personal Author(s) : Whitham, G B

PDF Url : ADA192385

Report Date : 14 Mar 1988

Pagination or Media Count : 5

Abstract : Most of the work has been on shock dynamics, a term we use for problems of the focusing of curved shocks, the diffraction of shocks by bodies or density layers, the propagation of shocks down curved tubes and channels, and the stability of converging shocks. Our earlier theoretical work is described in the book Linear and Nonlinear by G.B. Whitham, and references given there. This theoretical work on shock dynamics had been found by experimenters to be extremely useful in practical situations. However, the analytic results had been limited to fairly simple situations. The numerical scheme originally proposed was again limited and could not hope to handle some of the interesting practical situations. Keywords: Shock waves, Solitons, Roll waves; Nonlinear wave propagation; Numerical methods.

Descriptors :   *SHOCK(MECHANICS), APPLIED MATHEMATICS, APPLIED MATHEMATICS, DENSITY, DYNAMICS, LAYERS, NONLINEAR PROPAGATION ANALYSIS, NUMERICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, ROLL, SHOCK, SHOCK WAVES, THEORY, WAVE PROPAGATION, WAVES, CONVERGENCE

Subject Categories : Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE