Spatiotemporal lattice Boltzmann model for the three-dimensional cubic–quintic complex Ginzburg–Landau equation

Jianying Zhang and Guangwu Yan

Physica A: Statistical Mechanics and its Applications, 2015, vol. 440, issue C, 19-26

Abstract: A spatiotemporal lattice Boltzmann model for solving the three-dimensional cubic–quintic complex Ginzburg–Landau equation (CQCGLE) is proposed. Different from the classic lattice Boltzmann models, this lattice Boltzmann model is based on uniformly distributed lattice points in a three-dimensional spatiotemporal space, and the evolution of the model is about a spatial axis rather than time. The algorithm possesses advantages similar to the lattice Boltzmann method in that it is easily adapted to complex Ginzburg–Landau equations. Examples show that the model reproduces the phenomena in the CQCGLE accurately.

Keywords: Spatiotemporal lattice Boltzmann model; Three-dimensional cubic–quintic complex Ginzburg–Landau equation; Necklace–ring (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:440:y:2015:i:c:p:19-26

DOI: 10.1016/j.physa.2015.08.004

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