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arXiv · 1807.06236

Numerical Simulation of Microflows using Hermite Spectral Methods

Zhicheng Hu·Zhenning Cai·Yanli Wang
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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.

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Zhicheng Hu, Zhenning Cai, Yanli Wang. 2019-02-24. Numerical Simulation of Microflows using Hermite Spectral Methods. https://arxiv.org/abs/1807.06236

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