5 papers · 1 filter
Accelerated iterative method for solving the steady-state Boltzmann equation
Pei Zhang, Zhenning Cai, Yanli Wang
The efficient simulation of steady-state rarefied gas flows remains a significant computational challenge due to the high dimensionality of the collision integral and the severe nu…
Asymptotic Analysis of Shallow Water Moment Equations
Mieke Daemen, Julio Careaga, Zhenning Cai +1
The Shallow Water Moment Equations (SWME) are an extension of the Shallow Water Equations (SWE) for improved modelling of free-surface flows. In contrast to the SWE, the SWME incor…
A fast Fourier spectral method for the linearized Boltzmann collision operator
Tianai Yin, Zhenning Cai, Yanli Wang
We introduce a fast Fourier spectral method to compute linearized collision operators of the Boltzmann equation for variable hard-sphere gases. While the state-of-the-art method pr…
Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann equation
Zhenning Cai, Xiaoyu Dong, Jingwei Hu
We introduce a numerical solver for the steady-state Boltzmann equation based on the symmetric Gauss-Seidel (SGS) method. To solve the nonlinear system on each grid cell derived fr…
Iterative methods of linearized moment equations for rarefied gases
Xiaoyu Dong, Zhenning Cai
We study the iterative methods for large moment systems derived from the linearized Boltzmann equation. By Fourier analysis, it is shown that the direct application of the block sy…