Srivastava, Snehil and Mariappan, Panchatcharam (2023) Hyperbolic Lattice Boltzmann Method and Discrete Boltzmann Method for Solid–Liquid Phase Change Problem. Mathematics in Computer Science, 17 (9). ISSN 1661-8270 (Print), 1661-8289 (Online) (doi:10.1007/s11786-023-00563-w)

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Abstract

The lattice Boltzmann method (LBM) is a potential numerical tool for solving challenging fluid problems. The Bhatnagar Gross Krook (BGK) approximation is incorporated in the extensively used LBM-BGK approach. In the hyperbolic lattice Boltzmann method (HLBM), a hyperbolic collision operator is used for the collision process, whereas the essential objective of multiple relaxation time (MRT) collision operators is to manage the relaxation of different moments independently to boost accuracy and stability. In this paper, to solve the solid–liquid phase change problem, the HLBM and MRT discrete Boltzmann method are coupled with the enthalpy method to observe the phase change phenomenon governed by the heat conduction phenomenon.

Item Type:	Article
Uncontrolled Keywords:	hyperbolic lattice Boltzmann, discrete Boltzmann, phase change
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified:	08 Aug 2025 16:11
URI:	https://gala.gre.ac.uk/id/eprint/50802

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