In this paper, we present a lattice Boltzmann model for simulating the binary components detonation phenomena. For modeling the flow behavior in the detonation process, we employ two distribution functions for the density, momentum and energy of reactant and product, respectively. The Lee-Tarver model is selected to describe the chemical reaction kinetics. The reaction heat is naturally coupled with the flow behavior. The numerical examples show that the scheme can be used to simulate the detonation phenomena.
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In this paper, we present a high speed compressible lattice Boltzmann model coupled with Lee-Tarver reaction rate function for detonation. Two distribution functions are used to describe the density, momentum and energy of reactant and product in the lattice Boltzmann scheme, which gives consistent results with the Navier-Stokes equation in the continuum limit. Due to the separation of time scales in the chemical and thermodynamic process, the operator-splitting scheme is employed to solve Lee-Tarver reaction rate function. To indicate the validity of the model, we studied the collision between detonation and shock waves, the Richtmyer-Meshkov instability by detonation. The numerical examples show that the scheme can be used to compute the detonation phenomena.
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