Energy relaxation method for chemical non-equilibrium flow computations

M. M. Patil, J. C. Mandal, S. Swaminathan

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, an algorithm for chemical non-equilibrium hypersonic flow is developed based on the concept of energy relaxation method (ERM). The new system of equations obtained are studied using finite volume method with Harten-Lax-van Leer scheme for contact (HLLC). The original HLLC method is modified here to account for additional species and split energy equations. Higher order spatial accuracy is achieved using MUSCL reconstruction of the flow variables with van Albada limiter. The thermal equilibrium is considered for the analysis and the species data are generated using polynomial correlations. The single temperature model of Dunn and Kang is used for chemical relaxation. The computed results for a flow field over a hemispherical cylinder at Mach number of 16.34 obtained using the present solver are found to be promising and computationally (25%) more efficient. The present solver captures physically correct solution as the entropy conditions are satisfied automatically during the computations.

Original languageEnglish
Pages (from-to)1473-1494
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Volume54
Issue number12
DOIs
Publication statusPublished - 30 Aug 2007
Externally publishedYes

Keywords

  • Energy relaxation method
  • Finite rate chemistry
  • HLLC
  • Non-equilibrium flow
  • Real gas effects
  • Reentry aerothermo dynamics

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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