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

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 (Ra) numbers (Ra=108). Through benchmark testing, it is demo...

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Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 12; p. 1815
Main Authors Yang, Xuguang, Chen, Zhenyu, Zhao, Yong
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2024
Subjects
Energy conservation
Equilibrium
Force and energy
Heat transfer
high Rayleigh number
Interfaces
lattice Boltzmann method
Liquid phases
Melting
Methods
Partial differential equations
Phase transitions
Solids
solid–liquid phase change
Thermodynamics
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Summary: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 (Ra) numbers (Ra=108). 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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12121815