A FINITE ELEMENT LEVEL SET METHOD FOR VISCOUS FREE-SURFACE FLOWS

2005 ◽  
Author(s):  
N. PAROLINI ◽  
E. BURMAN
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Free Surface Flows ◽  
Element Level ◽  
Surface Flows

Efficient two-phase mass-conserving level set method for simulation of incompressible turbulent free surface flows with large density ratio

2016 ◽  
Vol 136 ◽  
pp. 212-227 ◽  
Author(s):  
J.M. Cubos-Ramírez ◽  
J. Ramírez-Cruz ◽  
M. Salinas-Vázquez ◽  
W. Vicente-Rodríguez ◽  
E. Martinez-Espinosa ◽  
...  
Keyword(s):  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Density Ratio ◽  
Free Surface Flows ◽  
Two Phase ◽  
Surface Flows ◽  
Large Density ◽  
Large Density Ratio

scholarly journals Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows

2003 ◽  
Author(s):  
Doug Enright ◽  
Duc Nguyen ◽  
Frederic Gibou ◽  
Ron Fedkiw
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Pressure Boundary Condition ◽  
Spatial Dimensions ◽  
Particle Level ◽  
Particle Level Set Method

In this paper, we present an enhanced resolution capturing method for topologically complex two and three dimensional incompressible free surface flows. The method is based upon the level set method of Osher and Sethian to represent the interface combined with two recent advances in the treatment of the interface, a second order accurate discretization of the Dirichlet pressure boundary condition at the free surface (2002, J. Comput. Phys.176, 205) and the use of massless marker particles to enhance the resolution of the interface through the use of the particle level set method (2002, J. Comput. Phys., 183, 83). Use of these methods allow for the accurate movement of the interface while at the same time preserving the mass of the liquid, even on coarse computational grids. Also, these methods complement the level set method in its ability to handle changes in interface topology in a robust manner. Surface tension effects can be easily included in our method. The method is presented in three spatial dimensions, with numerical examples in both two and three spatial dimensions.

Numerical Analysis of a Finite Element Approximation to a Level Set Model for Free-Surface Flows

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tomás Chacón Rebollo ◽  
Macarena Gómez Mármol ◽  
Isabel Sánchez Muñoz
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Free Surface Flows ◽  
Surface Flow ◽  
Optimal Error Estimates ◽  
Element Approximation ◽  
Element Discretization ◽  
Level Set Function

Abstract In this paper, we study a finite element discretization of a Level Set Method formulation of free-surface flow. We consider an Euler semi-implicit discretization in time and a Galerkin discretization of the level set function. We regularize the density and viscosity of the flow across the interface, following the Level Set Method. We prove stability in natural norms when the viscosity and density vary from one to the other layer and optimal error estimates for smooth solutions when the layers have the same density. We present some numerical tests for academic flows.

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