Study on the unified algorithm for three-dimensional complex problems covering various flow regimes using Boltzmann model equation |
| |
Authors: | ZhiHui Li and HanXin Zhang |
| |
Institution: | (1) National Laboratory for Computational Fluid Dynamics, Beijing, 100083, China;(2) China Aerodynamics Research and Development Center, Hypervelocity Aerodynamics Institute, Mianyang, 621000, China |
| |
Abstract: | The Boltzmann simplified velocity distribution function equation describing the gas transfer phenomena from various flow regimes
will be explored and solved numerically in this study. The discrete velocity 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 experimental 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 complete spectrum of flow regimes from the gas-kinetic point of view of solving the Boltzmann model equation.
Supported by the National Natural Science Foundation of China (Grant Nos. 90205009 and 10321002) and the National Parallel
Computing Center |
| |
Keywords: | Boltzmann model equation kinetic theory velocity distribution function discrete velocity ordinate technique hypersonic flow parallel computing numerical methods |
本文献已被 SpringerLink 等数据库收录! |
|