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Title: Acceleration for microflow simulations of high-order moment models by using lower-order model correction
Authors: Hu, ZC
Li, R
Qiao, ZH 
Keywords: Boltzmann equation
Globally hyperbolic moment method
Lower-order model correction
Issue Date: 2016
Publisher: Academic Press
Source: Journal of computational physics, 15 Dec. 2016, v. 327, p. 225-244 How to cite?
Journal: Journal of computational physics 
Abstract: We study the acceleration of steady-state computation for microflow, which is modeled by the high-order moment models derived recently from the steady-state Boltzmann equation with BGK-type collision term. By using the lower-order model correction, a novel nonlinear multi-level moment solver is developed. Numerical examples verify that the resulting solver improves the convergence significantly thus is able to accelerate the steady-state computation greatly. The behavior of the solver is also numerically investigated. It is shown that the convergence rate increases, indicating the solver would be more efficient, as the total levels increases. Three order reduction strategies of the solver are considered. Numerical results show that the most efficient order reduction strategy would be m(l-1) = [m(l)/2].
ISSN: 0021-9991
DOI: 10.1016/
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