Homogenized Lattice Boltzmann Model for Simulating Multi-Phase Flows in Heterogeneous Porous Media

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Hauptverfasser: Lautenschlaeger, Martin P., Weinmiller, Julius, Kellers, Benjamin, Danner, Timo, Latz, Arnulf
Format: Preprint
Veröffentlicht: 2022
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author Lautenschlaeger, Martin P.
Weinmiller, Julius
Kellers, Benjamin
Danner, Timo
Latz, Arnulf
author_facet Lautenschlaeger, Martin P.
Weinmiller, Julius
Kellers, Benjamin
Danner, Timo
Latz, Arnulf
contents A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it mimics fluid-fluid and solid-fluid interactions also within pores that are smaller than the numerical discretization. The model is successfully tested for a broad variety of single- and two-phase flow problems. Additionally, its application to multi-scale and multi-phase flow problems in porous media is demonstrated using the electrolyte filling process of realistic 3D lithium-ion battery electrode microstructures as an example. The new method shows advantages over comparable methods from literature. The interfacial tension and wetting conditions are independent and not affected by the homogenization. Moreover, all physical properties studied here are continuous even across interfaces of porous media. The method is consistent with the original multi-component Shan-Chen method. It is accurate, efficient, easy to implement, and can be applied to many research fields, especially where multi-phase fluid flow occurs in heterogeneous and multi-scale porous media.
format Preprint
id arxiv_https___arxiv_org_abs_2206_11524
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Homogenized Lattice Boltzmann Model for Simulating Multi-Phase Flows in Heterogeneous Porous Media
Lautenschlaeger, Martin P.
Weinmiller, Julius
Kellers, Benjamin
Danner, Timo
Latz, Arnulf
Fluid Dynamics
Computational Physics
Geophysics
A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it mimics fluid-fluid and solid-fluid interactions also within pores that are smaller than the numerical discretization. The model is successfully tested for a broad variety of single- and two-phase flow problems. Additionally, its application to multi-scale and multi-phase flow problems in porous media is demonstrated using the electrolyte filling process of realistic 3D lithium-ion battery electrode microstructures as an example. The new method shows advantages over comparable methods from literature. The interfacial tension and wetting conditions are independent and not affected by the homogenization. Moreover, all physical properties studied here are continuous even across interfaces of porous media. The method is consistent with the original multi-component Shan-Chen method. It is accurate, efficient, easy to implement, and can be applied to many research fields, especially where multi-phase fluid flow occurs in heterogeneous and multi-scale porous media.
title Homogenized Lattice Boltzmann Model for Simulating Multi-Phase Flows in Heterogeneous Porous Media
topic Fluid Dynamics
Computational Physics
Geophysics
url https://arxiv.org/abs/2206.11524