The Diffuse Solid Method for Wetting and Multiphase Fluid Simulations in Complex Geometries

Fuente: arXiv
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Autores principales: Oktasendra, Fandi, Rennick, Michael, Avis, Samuel J., Panter, Jack R., Kusumaatmaja, Halim
Formato: Preprint
Publicado: 2025
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author Oktasendra, Fandi
Rennick, Michael
Avis, Samuel J.
Panter, Jack R.
Kusumaatmaja, Halim
author_facet Oktasendra, Fandi
Rennick, Michael
Avis, Samuel J.
Panter, Jack R.
Kusumaatmaja, Halim
contents We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow dynamics of N fluid components, and we optimize how to constrain the evolution of the component employed as the solid phase to conform to any pre-defined geometry. Implementations for phase field energy minimization and lattice Boltzmann method are presented. Our approach does not need special treatment for the fluid-solid wetting boundary condition, which makes it simple to implement. To demonstrate its broad applicability, we employ the diffuse solid method to explore wide-ranging examples, including droplet contact angle on a flat surface, particle adsorption on a fluid-fluid interface, critical pressure on micropillars and on Salvinia leaf structures, capillary rise against gravity, Lucas-Washburn's law for capillary filling, and droplet motion on a sinusoidally undulated surface. Our proposed approach can be beneficial to computationally study multiphase fluid interactions with textured solid surfaces that are ubiquitous in nature and engineering applications.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19941
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Diffuse Solid Method for Wetting and Multiphase Fluid Simulations in Complex Geometries
Oktasendra, Fandi
Rennick, Michael
Avis, Samuel J.
Panter, Jack R.
Kusumaatmaja, Halim
Fluid Dynamics
Soft Condensed Matter
Computational Physics
We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow dynamics of N fluid components, and we optimize how to constrain the evolution of the component employed as the solid phase to conform to any pre-defined geometry. Implementations for phase field energy minimization and lattice Boltzmann method are presented. Our approach does not need special treatment for the fluid-solid wetting boundary condition, which makes it simple to implement. To demonstrate its broad applicability, we employ the diffuse solid method to explore wide-ranging examples, including droplet contact angle on a flat surface, particle adsorption on a fluid-fluid interface, critical pressure on micropillars and on Salvinia leaf structures, capillary rise against gravity, Lucas-Washburn's law for capillary filling, and droplet motion on a sinusoidally undulated surface. Our proposed approach can be beneficial to computationally study multiphase fluid interactions with textured solid surfaces that are ubiquitous in nature and engineering applications.
title The Diffuse Solid Method for Wetting and Multiphase Fluid Simulations in Complex Geometries
topic Fluid Dynamics
Soft Condensed Matter
Computational Physics
url https://arxiv.org/abs/2504.19941