Nonstandard jump functions for radically symmetric shock waves
- Los Alamos National Laboratory
- UNIV OF UTAH
- UNIV OF WYOMING
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.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 960917
- Report Number(s):
- LA-UR-08-06512; LA-UR-08-6512; TRN: US1002669
- Journal Information:
- Journal of Mathematical fluid mechanics, Journal Name: Journal of Mathematical fluid mechanics; ISSN 1422-6928
- Country of Publication:
- United States
- Language:
- English
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