A regularized lattice Boltzmann model for the solid-liquid phase change

Abstract

In this study, a regularized lattice Boltzmann method is proposed for solid-liquid phase-change simulations. The governing total-enthalpy equation is solved within a regularized lattice Boltzmann (RLB) framework, which enables accurate tracking of the solid-liquid interface while effectively suppressing numerical diffusion. In addition, the multi-relaxation-time RLB (MRT-RLB) model with standard lattices is developed to solve the flow field. To enhance computational efficiency, an efficient multi-GPU (graphics processing unit) implementation based on CUDA C (Compute Unified Device Architecture) is developed, which is particularly suited for computationally intensive three-dimensional phase-change simulations. The proposed model is validated against a series of one-, two-, and three-dimensional benchmark problems. The results demonstrate that the present solver provides a robust, accurate, and efficient framework for simulating solid-liquid phase-change heat transfer.

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BibTeX RIS

BibTeX

@misc{fu2026regularized,
  title = {{A regularized lattice Boltzmann model for the solid-liquid phase change}},
  author = {Qiang Fu and Yu Han and Xuhui Li and Xiaowen Shan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36642},
  eprint = {2610.36642},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36642},
  note = {CC0},
}

RIS

TY  - UNPB
TI  - A regularized lattice Boltzmann model for the solid-liquid phase change
AU  - Qiang Fu
AU  - Yu Han
AU  - Xuhui Li
AU  - Xiaowen Shan
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36642
UR  - https://arxiv.org/abs/2610.36642
AB  - In this study, a regularized lattice Boltzmann method is proposed for solid-liquid phase-change simulations. The governing total-enthalpy equation is solved within a regularized lattice Boltzmann (RLB) framework, which enables accurate tracking of the solid-liquid interface while effectively suppressing numerical diffusion. In addition, the multi-relaxation-time RLB (MRT-RLB) model with standard lattices is developed to solve the flow field. To enhance computational efficiency, an efficient multi-GPU (graphics processing unit) implementation based on CUDA C (Compute Unified Device Architecture) is developed, which is particularly suited for computationally intensive three-dimensional phase-change simulations. The proposed model is validated against a series of one-, two-, and three-dimensional benchmark problems. The results demonstrate that the present solver provides a robust, accurate, and efficient framework for simulating solid-liquid phase-change heat transfer.
ER  -

Abstract

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