Nonlocal and nonlinear effects in shock waves

David Jou, Diego Pavn

Research output: Contribution to journalArticleResearchpeer-review

34 Citations (Scopus)

Abstract

The formulation of generalized transport laws leading to causal hyperbolic hydrodynamical equations gives rise to a critical Mach number Mc at which a singularity develops in the shock wave layer. This happens in kinetic theory of gases (Grads 13 moments method) and extended irreversible thermodynamics as well. In this paper, it is shown that if nonlinear and nonlocal effects are taken into account, Mc significantly increases. Specifically, nonlocal effects raise Mc from 2.01 up to 3.03. Further consideration of some nonlinear terms raise Mc from the latter value up to 4.67. © 1991 The American Physical Society.
Original languageEnglish
Pages (from-to)6496-6502
JournalPhysical Review A
Volume44
DOIs
Publication statusPublished - 1 Jan 1991

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