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A nonlinear multigrid steady-state solver for 1D microflow
Hu, Zhicheng ; Li, Ruo
2014
关键词Multigrid Boltzmann equation ES-BGK model NRxx method REGULARIZED MOMENT METHOD GLOBALLY HYPERBOLIC REGULARIZATION KINETIC-THEORY BGK EQUATION SIMULATION MODELS SYSTEM NUMBER ORDER FLOW
英文摘要We develop a nonlinear multigrid method to solve the steady state of 1D microflow, which is modeled by the high order moment system derived recently for the steady-state Boltzmann equation with ES-BGK collision term. The solver adopts a symmetric Gauss-Seidel iterative scheme nested by a local Newton iteration on grid cell level as its smoother. Numerical examples show that the solver is insensitive to the parameters in the implementation thus is quite robust. It is demonstrated that expected efficiency improvement is achieved by the proposed method in comparison with the direct time-stepping scheme. (C) 2014 Elsevier Ltd. All rights reserved.; Computer Science, Interdisciplinary Applications; Mechanics; SCI(E); EI; 0; ARTICLE; huzhicheng1986@gmail.corn; rli@math.pku.edu.cn; 193-203; 103
语种英语
出处SCI ; EI
出版者computers fluids
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157279]  
专题数学科学学院
工学院
推荐引用方式
GB/T 7714
Hu, Zhicheng,Li, Ruo. A nonlinear multigrid steady-state solver for 1D microflow. 2014-01-01.
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