Numerical Simulation of Microflows using Hermite Spectral Methods
This work provides a numerical method for simulating microflows, which is relevant for researchers in computational fluid dynamics and kinetic theory.
The paper proposes a Hermite spectral method for the spatially inhomogeneous Boltzmann equation, generalizing an approximate quadratic collision operator for arbitrary distribution functions. The method is tested on one-dimensional benchmark microflow problems, demonstrating its effectiveness.
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.