Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-10-20
Commun.Theor.Phys.(Beijing,China) 54 (2010)pp.1121-1128
Physics
Condensed Matter
Statistical Mechanics
10 figures, RevTex, Accepted for publication in Communications in Theoretical Physics
Scientific paper
A highly efficient three-dimensional (3D) Lattice Boltzmann (LB) model for high speed compressible flows is proposed. This model is developed from the original one by Kataoka and Tsutahara[Phys. Rev. E 69, 056702 (2004)]. The convection term is discretized by the Non-oscillatory, containing No free parameters and Dissipative (NND) scheme, which effectively damps oscillations at discontinuities. To be more consistent with the kinetic theory of viscosity and to further improve the numerical stability, an additional dissipation term is introduced. Model parameters are chosen in such a way that the von Neumann stability criterion is satisfied. The new model is validated by well-known benchmarks, (i) Riemann problems, including the problem with Lax shock tube and a newly designed shock tube problem with high Mach number; (ii) reaction of shock wave on droplet or bubble. Good agreements are obtained between LB results and exact ones or previously reported solutions. The model is capable of simulating flows from subsonic to supersonic and capturing jumps resulted from shock waves.
Chen Fangpei
Li Yingjun
Xu Aiguo
Zhang Guangcai
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