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An arbitrary Lagrangian�Eulerian-based finite element strategy for modeling incompressible two-phase flows

Potghan, N and Jog, CS (2020) An arbitrary Lagrangian�Eulerian-based finite element strategy for modeling incompressible two-phase flows. In: International Journal for Numerical Methods in Fluids .

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Official URL: https://dx.doi.org/10.1002/fld.4949

Abstract

In this work, we develop a numerical strategy for solving two-phase immiscible incompressible fluid flows in a general arbitrary Lagrangian�Eulerian framework. As we use a conforming mesh moving with one of the fluids, there is no need to track or reconstruct the interface explicitly. A sharp interface, discontinuity in the fluid properties, and the jump in the pressure field are all accurately modeled using the dummy-node technique. One of the challenges that this work addresses is to obtain a C0-continuous approximation for the surface tension force term on the reference configuration, and to obtain its consistent linearization within the context of a Newton�Raphson strategy. It is shown by means of various numerical examples that the strategy is computationally efficient and robust, and circumvents the need for remeshing upto significantly large deformations. © 2020 John Wiley & Sons, Ltd.

Item Type: Journal Article
Publication: International Journal for Numerical Methods in Fluids
Publisher: John Wiley and Sons Ltd
Additional Information: The copyright of this article belongs to John Wiley and Sons Ltd
Keywords: Finite element method; Lagrange multipliers, Computationally efficient; Conforming meshes; Consistent linearization; Eulerian framework; Incompressible fluid flow; Numerical strategies; Sharp interface; Surface tension force, Two phase flow
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 16 Feb 2021 05:56
Last Modified: 16 Feb 2021 05:56
URI: http://eprints.iisc.ac.in/id/eprint/67983

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