LATTICE BOLTZMANN MODEL FOR VISOUS COMPRESSIBLE FLOWS WITH HIGH MACH NUMBER

摘要：

A lattice Boltzmann model is developed for viscous compressible flows with high Mach number. Unlike the Maxwellian distribution function or circle function used in the existing lattice Boltzmann models, a polynomial kernel function in the phase space is introduced to recover the compressible Navier-Stocks equations with a flexible specificheat ratio and Prandtl number. A density distribution function and a total energy distribution function are obtained from the discretization of the polynomial kernel function with Lagrangian interpolation. The total energy distribution function is then coupled to the density distribution function via the state equation. The one-dimensional Riemann problems, twodimensional Couette flows are simulated to validate our model. In the simulation, the Boltzmann equation with Bhatnagar- Gross-Krook approximation is solved by a finite-difference method. For the Riemann problems, the third-order implicitexplicit Runge-Kutta scheme for time discretization, and the fifth-order weighted essentially non-oscillatory scheme for space discretization are adopted. For the Couette flows, the Euler and the second-order upwind scheme are used. Numerical solutions agree well with the exact or analytic ones.

关键词： Lattice Boltzmann viscous compressible flow,shock wave finite-difference

作者: Y. Wang Y. L. He Q. Li W. Q. Tao

作者单位: State Key Laboratory of Multiphase Flow in Power Engineering, School of Energy & Power Engineering, Xi’an Jiaotong University,Xi’an, Shaan xi 710049,CHINA

会议类型: 国际会议

会议名称: 首届亚洲计算传热与计算流体国际会议(2007 Asian Symposium on Computational Heat Transfer and Fluid Flow)

会议地点: 西安

会议语种:英文

在线出版日期: 2007-10-08（万方平台首次上网日期，不代表论文的发表时间）