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Lattice Boltzmann simulation of some nonlinear complex equations

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2007) 4487 LNCS 818-825
DOI: 10.1007/978-3-540-72584-8_108
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Abstract

In this paper, the lattice Boltzmann method for convectiondiffusion equation with source term is applied directly to solve some important nonlinear complex equations, including nonlinear Schrödinger (NLS) equation, coupled NLS equations, Klein-Gordon equation and coupled Klein-Gordon-Schrödinger equations, by using complex-valued distribution function and relaxation time. Detailed simulations of these equations are carried out. Numerical results agree well with the analytical solutions, which show that the lattice Boltzmann method is an effective numerical solver for complex nonlinear systems. © Springer-Verlag Berlin Heidelberg 2007.

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Shi, B. (2007). Lattice Boltzmann simulation of some nonlinear complex equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4487 LNCS, pp. 818–825). Springer Verlag. https://doi.org/10.1007/978-3-540-72584-8_108

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