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.

We give discretization for fluid system in integral form with arbitrary moving velocity on unstructured meshes, where re-mapping step in ALE method to interpolate flow variables between old mesh and new one can be avoided. We give three kinds of velocity for different part of computational domain, and apply the scheme to pitching Naca0012 airfoil with moving boundary. It shows that the scheme is efficient and accurate.