A Block Triple-Relaxation-Time Lattice Boltzmann Method for Solid–Liquid Phase Change Problem

Xuguang Yang, Zhenyu Chen and Yong Zhao ()
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Xuguang Yang: School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, China
Zhenyu Chen: School of Physics and Electronic Science, Changsha University of Science and Technology, Changsha 410114, China
Yong Zhao: School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China

Mathematics, 2024, vol. 12, issue 12, 1-11

Abstract: This study introduces a block triple-relaxation-time (B-TriRT) lattice Boltzmann model designed specifically for simulating melting phenomena within a rectangular cavity subject to intense heating from below, characterized by high Rayleigh ( R a ) numbers ( R a = 10 8 ). Through benchmark testing, it is demonstrated that the proposed B-TriRT approach markedly mitigates numerical diffusion along the phase interface. Furthermore, an examination of the heated region’s placement is conducted, revealing its significant impact on the rate of melting. Notably, findings suggest that optimal melting occurs most rapidly when the heated region is positioned centrally within the cavity.

Keywords: lattice Boltzmann method; solid–liquid phase change; high Rayleigh number (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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