The wall-jetting effect in Mach reflection: Navier-Stokes simulations

E. I. Vasilev, G. Ben-Dor, T. Elperin, L. F. Henderson

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The wall-jetting effect in Mach reflections in viscous pseudo-steady flows (as obtained in shock tubes) is investigated numerically. The W-modification of Godunov's scheme has been modified to solve the Navier-Stokes equations using a splitting into physical processes. The viscous terms are approximated using an explicit scheme with central differences in space and a two-step Runge Kutta method in time. Two analytical models are considered. The first is a self-similar viscous flow model in which we consider a flow field with characteristic size L, and assume that as the characteristic size grows from O to L, the viscosity of the gas ahead of the shock wave varies from O to μo. Consequently, the flow can be made self-similar by using the parameter Re = ρoaoLo. The second is a real non-stationary viscous flow, in which the molecular viscosity during the growth of a characteristic size from O to L remains constant and is equal μo. As a result the viscous effects are only partially accounted for in the self-similar viscous flow model in comparison to a real non-stationary viscous flow model, since they are smaller in the former case. The present investigation complements our previous investigation of the wall-jetting effect in Mach reflection in inviscid pseudo-steady flows (Henderson et al. 2003).

Original languageEnglish
Pages (from-to)363-379
Number of pages17
JournalJournal of Fluid Mechanics
Volume511
DOIs
StatePublished - 25 Jul 2004

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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