3 papers
math.NA2025
An efficient fully decoupled finite element method with second-order accuracy for the micropolar Rayleigh-Benard convection system
Ming Cui, Akang Hou, Xiaoyu Dong
The micropolar Rayleigh-B{é}nard convection system, which consists of Navier-Stokes equations, the angular momentum equation, and the heat equation, is a strongly nonlinear, couple…
math.NA2024
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…
math.NA2023
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…