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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…
physics.comp-ph2023
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…