14 citations · 14 across the 4 of their papers we have counts for
5 papers
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…
A Framework of Model Reduction with Arbitrary Orders of Accuracy for the Boltzmann Equation
Zhenning Cai, Ruo Li, Yixiao Lu +1
This paper presents a general framework for constructing reduced models that approximate the Boltzmann equation with arbitrary orders of accuracy in terms of the Knudsen number $\m…
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…
A symmetric Gauss-Seidel method for the steady-state Boltzmann equation
Tianai Yin, Zhenning Cai, Yanli Wang
We introduce numerical solvers for the steady-state Boltzmann equation based on the symmetric Gauss-Seidel (SGS) method. Due to the quadratic collision operator in the Boltzmann eq…
Regularized 13-Moment Equations for Inverse Power Law Models
Zhenning Cai, Yanli Wang
We propose a systematic methodology to derive the regularized thirteen-moment equations in the rarefied gas dynamics for a general class of linearized collision models. Detailed ex…