Numerical Simulation of Microflows using Hermite Spectral Methods
Spectral Theory
2019-02-26 v2 Numerical Analysis
Abstract
We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model, we generalize an approximate quadratic collision operator defined in the normalized and dimensionless setting to an operator for arbitrary distribution functions. An efficient algorithm with a fast transform is introduced to discretize this new collision operator. The method is tested for one-dimensional benchmark microflow problems.
Cite
@article{arxiv.1807.06236,
title = {Numerical Simulation of Microflows using Hermite Spectral Methods},
author = {Zhicheng Hu and Zhenning Cai and Yanli Wang},
journal= {arXiv preprint arXiv:1807.06236},
year = {2019}
}