Analysis of Self-Similar Solutions of Multidimensional Conservation Laws

Tesdall, Allen M.

Research Foundation of CUNY on behalf of College of Staten Island, 230 West 41st Street, New York, NY 10036

关键词: 97 Mathematics And Computing;   

DOI  :  10.2172/1089161
RP-ID  :  DOE/SC0001378-3
RP-ID  :  SC0001378
RP-ID  :  1089161

美国|英语

来源: UNT Digital Library

【 摘 要 】

This project brought large-scale, advanced methods for numerical solution of PDE to bear on the two-dimensional Riemann problem, and obtained numerical solution of problem. This numerical solution allowed us to describe key features of the solution. Analysis was combined with numerical solution to explain these numerical results. High-resolution, large-scale numerical computations show for the #12;first time that a shock forms strictly in the supersonic region. Numerical solutions appear to show the disappearance of a diffracting shock at a sonic line.