The Coupled Volume of Fluid and Brinkman Penalization Methods for Simulation of Incompressible Multiphase Flows

Evgenii L Sharaborin,Oleg A Rogozin,Aslan R Kasimov

doi:10.3390/fluids6090334

Evgenii L Sharaborin, Oleg A Rogozin + Show 1 more

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https://doi.org/10.3390/fluids6090334

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Abstract

In this work, we contribute to the development of numerical algorithms for the direct simulation of three-dimensional incompressible multiphase flows in the presence of multiple fluids and solids. The volume of fluid method is used for interface tracking, and the Brinkman penalization method is used to treat solids; the latter is assumed to be perfectly superhydrophobic or perfectly superhydrophilic, to have an arbitrary shape, and to move with a prescribed velocity. The proposed algorithm is implemented in the open-source software Basilisk and is validated on a number of test cases, such as the Stokes flow between a periodic array of cylinders, vortex decay problem, and multiphase flow around moving solids.

Highlights

Volume of Fluid and BrinkmanIn this paper, we develop a numerical approach to the simulation of three-dimensional incompressible multiphase flows involving multiple fluid phases as well as solid inclusions or boundaries of arbitrary shapes
We develop a numerical approach to the simulation of three-dimensional incompressible multiphase flows involving multiple fluid phases as well as solid inclusions or boundaries of arbitrary shapes
We have contributed to the development of an algorithm for the simulation of multiphase flows consisting of several incompressible fluids and solid objects, the latter either stationary or moving with a prescribed velocity

Summary

Introduction

We develop a numerical approach to the simulation of three-dimensional incompressible multiphase flows involving multiple fluid phases as well as solid inclusions or boundaries of arbitrary shapes. The proposed algorithm is implemented in the opensource environment Basilisk [1] and is validated on several fluid dynamics problems demonstrating its capabilities for solving challenging multiphase multiscale flow problems. Multiphase flows are of importance to many areas of applied science and engineering. Reacting flows in multiphase systems are important for combustion applications [6], microreactors [7], and energy storage technologies [8,9]. Numerous manufacturing applications relate to multiphase flows involving, for example, the formation of bubbles during composite manufacturing [22]

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