Higher-order Tuning of Interface Physics in Multiphase Lattice Boltzmann

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Main Authors: Lulli, Matteo, Ching, Emily S. C.
Format: Preprint
Published: 2025
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author Lulli, Matteo
Ching, Emily S. C.
author_facet Lulli, Matteo
Ching, Emily S. C.
contents Tuning the interface properties of multiphase models is of paramount importance to the final goal of achieving a one-to-one matching with nucleation and cavitation experiments. The surface tension, at the leading order, and the Tolman length, at higher order, play a crucial role in the estimation of the free-energy barrier determining the experimentally observed nucleation rates. The lattice Boltzmann method allows for a computationally efficient modelling approach of multiphase flows, however, tuning results are concerned with the surface tension and neglect the Tolman length. We present a novel perspective that leverages all the degrees of freedom hidden in the forcing stencil of the Shan-Chen multiphase model. By means of the lattice pressure tensor we determine and tune the coefficients of higher-order derivative terms related to surface tension and Tolman length at constant interface width and density ratio. We test the method by means of both hydrostatic and dynamic simulations and demonstrate the dependence of homogeneous nucleation rates on the value of the Tolman length. This work provides a new tool that can be integrated with previously existing strategies thus marking a step forwards to a high-fidelity modelling of phase-changing fluid dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23647
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher-order Tuning of Interface Physics in Multiphase Lattice Boltzmann
Lulli, Matteo
Ching, Emily S. C.
Statistical Mechanics
Cellular Automata and Lattice Gases
Fluid Dynamics
Tuning the interface properties of multiphase models is of paramount importance to the final goal of achieving a one-to-one matching with nucleation and cavitation experiments. The surface tension, at the leading order, and the Tolman length, at higher order, play a crucial role in the estimation of the free-energy barrier determining the experimentally observed nucleation rates. The lattice Boltzmann method allows for a computationally efficient modelling approach of multiphase flows, however, tuning results are concerned with the surface tension and neglect the Tolman length. We present a novel perspective that leverages all the degrees of freedom hidden in the forcing stencil of the Shan-Chen multiphase model. By means of the lattice pressure tensor we determine and tune the coefficients of higher-order derivative terms related to surface tension and Tolman length at constant interface width and density ratio. We test the method by means of both hydrostatic and dynamic simulations and demonstrate the dependence of homogeneous nucleation rates on the value of the Tolman length. This work provides a new tool that can be integrated with previously existing strategies thus marking a step forwards to a high-fidelity modelling of phase-changing fluid dynamics.
title Higher-order Tuning of Interface Physics in Multiphase Lattice Boltzmann
topic Statistical Mechanics
Cellular Automata and Lattice Gases
Fluid Dynamics
url https://arxiv.org/abs/2505.23647