An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation
LAI Hui-Lin1, MA Chang-Feng 1,2
1College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 3500072School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 441004
An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation
LAI Hui-Lin1;MA Chang-Feng 1,2
1College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 3500072School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 441004
摘要We establish an implicit scheme of lattice Boltzmann method for simulating the sine-Gordon equation, which can be transformed into the explicit one, so the computation of the scheme is simple. Moreover, the parameter θ of the implicit scheme is independent of the relaxation time, which makes the model more flexible. The numerical results show that this method is very effective.
Abstract：We establish an implicit scheme of lattice Boltzmann method for simulating the sine-Gordon equation, which can be transformed into the explicit one, so the computation of the scheme is simple. Moreover, the parameter θ of the implicit scheme is independent of the relaxation time, which makes the model more flexible. The numerical results show that this method is very effective.
LAI Hui-Lin;MA Chang-Feng;. An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation[J]. 中国物理快报, 2008, 25(6): 2118-2120.
LAI Hui-Lin, MA Chang-Feng,. An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation. Chin. Phys. Lett., 2008, 25(6): 2118-2120.
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2008, Vol. 25 
