Pré-Publication, Document De Travail Année : 2025

An implicit regularized enthalpy Lattice Boltzmann Method for the Stefan problem

Résumé

Solving the Stefan problem, also referred as the heat conduction problem with phase change, is a necessary step to solve phase change problems with convection. In this article, we are interested in using the Lattice Boltzmann Method (LBM) to solve the Stefan problem using a regularized total enthalpy model. The liquid fraction is treated as a nonlinear source/sink term, that involves the time derivative of the solution. The resulting non-linear system is solved using a Newton algorithm. By conserving the locality of the problem, this method is highly scalable, while keeping a high accuracy. The newly developed scheme is analyzed theoretically through a Chapman-Enskog expansion and illustrated numerically with 1D and 2D benchmarks.

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hal-05070487 , version 1 (16-05-2025)

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  • HAL Id : hal-05070487 , version 1

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Francky Luddens, Corentin Lothodé, Ionut Danaila. An implicit regularized enthalpy Lattice Boltzmann Method for the Stefan problem. 2025. ⟨hal-05070487⟩
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