CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2018, Vol. 35 ›› Issue (1): 29-38.DOI: 10.19596/j.cnki.1001-246x.7594

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Euler Numerical Methods for Reactive Flow with General Equation of States in Two Dimensions

LIU Jingjing, ZENG Xianyang, NI Guoxi   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2016-12-01 Revised:2017-05-16 Online:2018-01-25 Published:2018-01-25

Abstract: We present an efficient method to simulate reactive flow for general equation of states in two dimensions. Two kinds of nonideal equation of states for compressible fluid model coupling with reactive rate equation are concerned. The important aspect is to deal with mixture of different phase in one cell, which inevitably happens in Euler method for reactive flows. Physical variables such as pressure,velocity and speed of sound in each cell are reconstructed which results in nonlinear algebra equations. They are used to obtain flux by HLLC Riemann solver. Numerical examples of detonation in two dimensions with different equation of states demonstrate accuracy and robustness of the method.

Key words: reactive flow, detonation wave, HLLC solver, Godunov scheme, general equation of states

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