Srivastava, Snehil and Mariappan, Panchatcharam (2023) Hyperbolic lattice Boltzmann method for three-dimensional non-Fourier heat conduction with phase change. Numerical Heat Transfer, Part A: Applications, 86 (1). pp. 73-89. ISSN 1040-7782 (Print), 1521-0634 (Online) (doi:10.1080/10407782.2023.2257879)

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Abstract

The study described the simulation of 3D non-Fourier heat conduction with phase change using a hyperbolic lattice Boltzmann method (HLBM). The equilibrium distribution function was modified for the temperature to develop a new approach for handling the latent-heat source term. Unlike the commonly used lattice Boltzmann method (LBM), the hyperbolic collision operator was used in the HLBM process. The approach enabled the recovery of the enthalpy conservation equation and avoided the need for iteration stages or solving groups of linear equations. This suggests that the approach is more efficient and accurate than previous methods. Overall, the study demonstrates the potential of using HLBM for simulating complex thermal processes, particularly those involving phase change. The method could be useful in various applications, such as in the design of efficient heat exchangers or in understanding the behavior of materials during phase transitions.

Item Type:	Article
Uncontrolled Keywords:	equilibrium distribution function, hyperbolic lattice, Boltzmann method, 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:	05 Aug 2025 15:16
URI:	https://gala.gre.ac.uk/id/eprint/50800

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