NRxx Simulation of Microflows with Shakhov Model
Mathematical Physics
2015-03-19 v2 math.MP
Abstract
In this paper, we propose a method to simulate the microflows with Shakhov model using the NRxx method developed in [4, 5, 6]. The equation under consideration is the Boltzmann equation with force terms and the Shakhov model is adopted to achieve the correct Prandtl number. As the focus of this paper, we derive a uniform framework for different order moment systems on the wall boundary conditions, which is a major difficulty in the moment methods. Numerical examples for both steady and unsteady problems are presented to show the convergence in the number of moments.
Keywords
Cite
@article{arxiv.1103.3468,
title = {NRxx Simulation of Microflows with Shakhov Model},
author = {Zhenning Cai and Ruo Li and Zhonghua Qiao},
journal= {arXiv preprint arXiv:1103.3468},
year = {2015}
}
Comments
31 pages, 10 figures