Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects

C. S. Yoo, Hong Im*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

201 Scopus citations

Abstract

A generalized formulation of the characteristic boundary conditions for compressible reacting flows is proposed. The new and improved approach resolves a number of lingering issues of spurious solution behaviour encountered in turbulent reacting flow simulations in the past. This is accomplished (a) by accounting for all the relevant terms in the determination of the characteristic wave amplitudes and (b) by accommodating a relaxation treatment for the transverse gradient terms with the relaxation coefficient properly determined by the low Mach number asymptotic expansion. The new boundary conditions are applied to a comprehensive set of test problems including: vortex-convection; turbulent inflow; ignition front propagation; non-reacting and reacting Poiseuille flows; and counterflow cases. It is demonstrated that the improved boundary conditions perform consistently superior to existing approaches, and result in robust and accurate solutions with minimal acoustic wave interactions at the boundary in hostile turbulent combustion simulation conditions.

Original languageEnglish (US)
Pages (from-to)259-286
Number of pages28
JournalCombustion Theory and Modelling
Volume11
Issue number2
DOIs
StatePublished - Apr 1 2007

Keywords

  • Characteristic boundary conditions
  • Compressible reacting flows
  • Direct numerical simulation
  • Locally one-dimensional inviscid approximation
  • Low Mach number asymptotics

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Modeling and Simulation
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

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