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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| Published in | Mathematics (Basel) Vol. 12; no. 12; p. 1815 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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MDPI AG
01.06.2024
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| ISSN | 2227-7390 2227-7390 |
| DOI | 10.3390/math12121815 |
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| 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 (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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| AbstractList | 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. 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=10[sup.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. |
| Audience | Academic |
| Author | Chen, Zhenyu Zhao, Yong Yang, Xuguang |
| Author_xml | – sequence: 1 givenname: Xuguang surname: Yang fullname: Yang, Xuguang – sequence: 2 givenname: Zhenyu surname: Chen fullname: Chen, Zhenyu – sequence: 3 givenname: Yong surname: Zhao fullname: Zhao, Yong |
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| SubjectTerms | 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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| Title | A Block Triple-Relaxation-Time Lattice Boltzmann Method for Solid–Liquid Phase Change Problem |
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