Study on the unified algorithm for three-dimensional complex problems covering various flow regimes using Boltzmann model equation

• 来源期刊: 中国科学G辑(英文版)
• 年，卷（期）: 2009,（1）
• 页码范围: 124-138
• 页数: 15页
• 语种: 英文
• DOI: 10.1007/s11433-009-0020-6

摘要

The Boltzmann simplified velocity distribution function equation describing the gas transfer phenom-ena from various flow regimes will be explored and solved numerically in this study. The discrete ve-locity ordinate method of the gas kinetic theory is studied and applied to simulate the complex multi-scale flows. Based on the uncoupling technique on molecular movement and colliding in the DSMC method, the gas-kinetic finite difference scheme is constructed to directly solve the discrete velocity distribution functions by extending and applying the unsteady time-splitting method from computational fluid dynamics. The Gauss-type discrete velocity numerical quadrature technique for different Mach number flows is developed to evaluate the macroscopic flow parameters in the physical space. As a result, the gas-kinetic numerical algorithm is established to study the three-dimensional complex flows from rarefied transition to continuum regimes. The parallel strategy adapted to the gas-kinetic numerical algorithm is investigated by analyzing the inner parallel degree of the algorithm, and then the HPF parallel processing program is developed. To test the reliability of the present gas-kinetic numerical method, the three-dimensional complex flows around sphere and spacecraft shape with various Knudsen numbers are simulated by HPF parallel computing. The computational results are found in high resolution of the flow fields and good agreement with the theoretical and ex-perimental data. The computing practice has confirmed that the present gas-kinetic algorithm probably provides a promising approach to resolve the hypersonic aerothermodynamic problems with the com-plete spectrum of flow regimes from the gas-kinetic point of view of solving the Boltzmann model equation.