Multiple-relaxation-time total enthalpy lattice Boltzmann model for liquid-vapor phase change
Abstract
In this paper, a multiple-relaxation-time (MRT) total enthalpy lattice Boltzmann (LB) model is proposed for liquid-vapor phase change. The pseudopotential LB method is employed to describe the liquid-vapor multiphase dynamics, while the thermal field is solved using an MRT LB formulation with total enthalpy as the evolution variable, thereby incorporating sensible and latent heat into a unified framework. A latent heat expression based on the equation of state (EOS) is further derived to provide a thermodynamic reference for its specification. Multiscale analysis demonstrates that the proposed model recovers the target macroscopic energy equation without introducing the nonlinear thermodynamic source term commonly required in temperature-based formulations, thereby avoiding the explicit evaluation of ∇·u. The model is validated through free droplet evaporation, droplet evaporation on a heated surface, and bubble growth and departure during boiling, showing good agreement with published results. Simulations with different prescribed latent heats are further conducted in all three cases, demonstrating that the latent heat can be independently specified according to the physical conditions considered without altering the equation of state.
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BibTeX
@misc{he2026multiplerelaxationtime,
title = {{Multiple-relaxation-time total enthalpy lattice Boltzmann model for liquid-vapor phase change}},
author = {Hangyu He and Lei Wang and Xuguang Yang and Yong Zhao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36575},
eprint = {2610.36575},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36575},
}
RIS
TY - UNPB
TI - Multiple-relaxation-time total enthalpy lattice Boltzmann model for liquid-vapor phase change
AU - Hangyu He
AU - Lei Wang
AU - Xuguang Yang
AU - Yong Zhao
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36575
UR - https://arxiv.org/abs/2610.36575
AB - In this paper, a multiple-relaxation-time (MRT) total enthalpy lattice Boltzmann (LB) model is proposed for liquid-vapor phase change. The pseudopotential LB method is employed to describe the liquid-vapor multiphase dynamics, while the thermal field is solved using an MRT LB formulation with total enthalpy as the evolution variable, thereby incorporating sensible and latent heat into a unified framework. A latent heat expression based on the equation of state (EOS) is further derived to provide a thermodynamic reference for its specification. Multiscale analysis demonstrates that the proposed model recovers the target macroscopic energy equation without introducing the nonlinear thermodynamic source term commonly required in temperature-based formulations, thereby avoiding the explicit evaluation of ∇·u. The model is validated through free droplet evaporation, droplet evaporation on a heated surface, and bubble growth and departure during boiling, showing good agreement with published results. Simulations with different prescribed latent heats are further conducted in all three cases, demonstrating that the latent heat can be independently specified according to the physical conditions considered without altering the equation of state.
ER -