Nonstandard jump functions for radially symmetric shock waves

Baty, Roy S. ; Tucker, Don H. ; Stanescu, Dan

Los Alamos National Laboratory

关键词: Shock Waves;    Magnetogasdynamics;    Equations Of Motion;    75 Condensed Matter Physics, Superconductivity And Superfluidity;   

DOI  :  10.2172/948551
RP-ID  :  LA-14380
RP-ID  :  DE-AC52-06NA25396
RP-ID  :  948551

美国|英语

来源: UNT Digital Library

【 摘 要 】

Nonstandard analysis is applied to derive generalized jump functions for radially symmetric, one-dimensional, magnetogasdynamic shock waves. It is assumed that the shock wave jumps occur on infinitesimal intervals, and the jump functions for the physical parameters occur smoothly across these intervals. Locally integrable predistributions of the Heaviside function are used to model the flow variables across a shock wave. The equations of motion expressed in nonconservative form are then applied to derive unambiguous relationships between the jump functions for the physical parameters for two families of self-similar flows. It is shown that the microstructures for these families of radially symmetric, magnetogasdynamic shock waves coincide in a nonstandard sense for a specified density jump function