Numerical Simulation of Microflows using Hermite Spectral Methods

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.

References in corpus (4)

• Comparative study of the discrete velocity and lattice Boltzmann methods for rarefied gas flows through irregular channels
• Galerkin-Petrov approach for the Boltzmann equation
• Approximation of the Boltzmann Collision Operator Based on Hermite Spectral Method
• Acceleration for Microflow Simulations of High-Order Moment Models by Using Lower-Order Model Correction

Cited by in corpus (2)

• On the Holway-Weiss Debate: Convergence of the Grad-Moment-Expansion in Kinetic Gas Theory
• Burnett Spectral Method for the Spatially Homogeneous Boltzmann Equation