Combining Hyperbolic Quadrature Method of Moments and Discrete-Velocity-Direction Models for Solving BGK-type Equations
Computational Physics
2024-11-20 v1 Numerical Analysis
Numerical Analysis
Abstract
This paper introduces the discrete-velocity-direction model (DVDM) in conjunction with the hyperbolic quadrature method of moments (HyQMOM) to develop a multidimensional spatial-temporal approximation of the BGK equation, termed DVD-HyQMOM. Serving as a multidimensional extension of HyQMOM, DVD-HyQMOM model achieves higher accuracy than other DVDM submodels, especially with an increased number of abscissas. The efficiency and effectiveness of this model are demonstrated through various numerical tests.
Keywords
Cite
@article{arxiv.2411.12654,
title = {Combining Hyperbolic Quadrature Method of Moments and Discrete-Velocity-Direction Models for Solving BGK-type Equations},
author = {Tianshu Li and Yihong Chen and Qian Huang},
journal= {arXiv preprint arXiv:2411.12654},
year = {2024}
}