王艳莉 特聘研究员（北京计算科学研究中心）

谢和虎 研究员

Adaptive Sparse Discrete Velocity Method for the Boltzmann-BGK Equation

1月26日（周一）14:00-15:00，南楼226

In this work, we introduce a Adaptive Sparse Discrete Velocity Method (ASDVM) for solving the Boltzmann-BGK equation. The distribution function is decomposed into two parts: an equilibrium component represented by the Maxwellian distribution and a non-equilibrium component. Discrete velocity points are allocated only to the non-equilibrium part, resulting in a significantly reduced number of velocity points, particularly in near-continuous regimes, which greatly lowers the computational cost compared to conventional discrete velocity methods. The discretization of the microscopic velocity space is dynamically and adaptively adjusted based on the non-equilibrium component of the distribution. Several numerical examples are presented to validate the efficiency and accuracy of the proposed ASDVM.