Premium
An efficient numerical method for reactive flow with general equation of states
Author(s) -
Zeng Xianyang,
Xiao Min,
Ni Guoxi
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4233
Subject(s) - riemann solver , flow (mathematics) , mathematics , solver , riemann problem , compressible flow , computational fluid dynamics , eulerian path , compressibility , flux (metallurgy) , riemann hypothesis , fluid dynamics , mathematical analysis , finite volume method , mathematical optimization , mechanics , physics , geometry , materials science , lagrangian , metallurgy
Summary This paper presents an efficient method to simulate the reactive flow for general equation of states with the compressible fluid model coupled with reactive rate equation. The important aspect is to deal with mixture of different phases in one cell, which will inevitably happen in the Eulerian method for reactive flow. Physical variables such as the pressure,velocity, and speed of sound in each cell need to be reconstructed for the Harten‐Lax‐Leer‐Contact (HLLC) Riemann solver, which will result in nonlinear algebra equations, and these reconstructed variables are used to obtain the flux. Numerical examples of stable and unstable detonations with different equation of states demonstrate the accuracy and efficiency of this method. Copyright © 2016 John Wiley & Sons, Ltd.