Gas-kinetic numerical schemes for one- and two-dimensional inner flows

作者：Li Zhi hui^*; Bi Lin; Tang Zhi gong

来源：Applied Mathematics and Mechanics (English Edition ), 2009, 30(7): 889-904.

DOI：10.1007/s10483-009-0708-x

• Boltzmann model equation
• gas-kinetic numerical schemes
• discrete velocity ordinate method
• shock-tube problems
• channel flows

Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution functions are designed with precision of different orders by analyzing the inner characteristics of the gas-kinetic numerical algorithm for Boltzmann model equation. The peculiar flow phenomena and mechanism from various flow regimes are revealed hi the numerical simulations of the unsteady Sod shock-tube problems and the two-dimensional channel flows with different Knudsen numbers. The numerical remainder-effects of the difference schemes are investigated and analyzed based on the computed results. The ways of improving the computational efficiency of the gas-kinetic numerical method and the computing principles of difference discretization are discussed.

• 出版日期2009-7
• 单位中国空气动力研究与发展中心