A mass-preserving level set method for simulating 2D/3D fluid flows with evolving interface

Within the context of Eulerian approaches, we aim to develop a new interface-capturing solver to predict two-phase flow in 2D/3D Cartesian meshes. To achieve mass conservation and to capture interface topology accurately, a mass-preserving level set advection equation cast in the scalar sign-distanc...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Hao-Liang, Wen, Ching-Hao, Yu, Tony Wen-Hann Sheu
Format: Article
Language:English
Subjects:
Cartesian coordinates
Flow equations
Fluid dynamics
Fluid flow
Incompressible flow
Three dimensional flow
Topology
Two dimensional flow
Two phase flow
Viscous flow
Online Access:Get full text
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Summary:Within the context of Eulerian approaches, we aim to develop a new interface-capturing solver to predict two-phase flow in 2D/3D Cartesian meshes. To achieve mass conservation and to capture interface topology accurately, a mass-preserving level set advection equation cast in the scalar sign-distance function is developed. The novelty of the proposed Eulerian solver lies in the introduction of a scalar speed function to rigorously reconstruct the classical level set equation. Through several benchmark problems, the proposed flow solver for solving incompressible two-phase viscous flow equations has been verified.
ISSN:2331-8422