The Lattice BGK Model for the Poisson Equation
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概要
- 論文の詳細を見る
This study deals with the development of the lattice BGK model for the Poisson equation. The lattice BGK method, which was derived from lattice gas automata, is a mesoscopic approach for simulating the fluid flow. We can apply this method to several partial differential equations (PDEs) as a numerical solver without losing its advantages such as noise-free calculation, simple algorithm, and high computational efficiency on parallel computers. We develop the new lattice BGK Poisson solver as an example of the elliptic PDE solver and discuss its fundamental properties. By comparing with the finite element method, we confirm the effectiveness of adopted boundary condition rules. We indicate that the extremely favorable speed-up is achieved in parallel computing and that adjustments of the relaxation parameter accelerate the calculation. Our numerical simulations show the potentiality of the lattice BGK method as the solver for the PDEs besides the hydrodynamic equations.
- 一般社団法人日本機械学会の論文
- 2001-02-15
著者
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Chen Yu
Department Of Radiation Oncology Mackay Memorial Hospital
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Chen Yu
Department Of Mechanical Engineering National Taipei University Of Technology
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Chen Y
Department Of Quantum Engineering And Systems Science University Of Tokyo
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HIRABAYASHI Miki
Department of Quantum Engineering and Systems Science, University of Tokyo
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OHASHI Hirotada
Department of Quantum Engineering and Systems Science, University of Tokyo
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Hirabayashi Miki
Department Of Quantum Engineering And Systems Science University Of Tokyo
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Ohashi H
Department Of Quantum Engineering And Systems Science University Of Tokyo
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Ohashi Hirotada
Department Of Quantum Engineering And Systems Science Faculty Of Engineering University Of Tokyo
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Chen Yu
Univ. Missouri‐kansas City Mo Usa
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Chen Yu
Department Of Chemistry Graduate School Of Science Osaka University
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Chen Yu
Department Of Chemical Biology Ernest Mario School Of Pharmacy Rutgers The State University Of New Jersey
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Chen Yu
Department And Graduate School Of Physical Education National Taiwan College Of Physical Education
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