A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios

  • Authors:

  • Ryan W. Houim;Kenneth K. Kuo

  • Affiliations:

  • Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA;Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2011

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Abstract

A low-dissipation method for calculating multi-component gas dynamics flows with variable specific heat ratio that is capable of accurately simulating flows which contain both high- and low-Mach number features is proposed. The technique combines features from the double-flux multi-component model, nonlinear error-controlled WENO, adaptive TVD slope limiters, rotated Riemann solvers, and adaptive mesh refinement to obtain a method that is both robust and accurate. Success of the technique is demonstrated using an extensive series of numerical experiments including premixed deflagrations, Chapman-Jouget detonations, re-shocked Richtmyer-Meshkov instability, shock-wave and hydrogen gas column interaction, and multi-dimensional detonations. This technique is relatively straight-forward to implement using an existing compressible Navier-Stokes solver based on Godunov's method.