scholarly journals Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

2005 ◽  
Vol 48 (3) ◽  
pp. 231-269 ◽  
Author(s):  
Anton Smolianski
Keyword(s):  
Finite Element ◽  
Level Set ◽  
Operator Splitting ◽  
Unsteady Flows ◽  
Element Level ◽  
Moving Interfaces ◽  
Two Fluid

scholarly journals An accurate and robust finite element level set redistancing method

2014 ◽  
Vol 35 (4) ◽  
pp. 1913-1933 ◽  
Author(s):  
Patrick Esser ◽  
Jörg Grande
Keyword(s):  
Finite Element ◽  
Level Set ◽  
Element Level

A new finite element level set reinitialization method based on the shifted boundary method

2021 ◽  
pp. 110360
Author(s):  
Tianju Xue ◽  
WaiChing Sun ◽  
Sigrid Adriaenssens ◽  
Yujie Wei ◽  
Chuanqi Liu
Keyword(s):  
Finite Element ◽  
Level Set ◽  
Element Level ◽  
Boundary Method

scholarly journals An Interface-Fitted Finite Element Level Set Method with Application to Solidification and Solvation

2011 ◽  
Vol 10 (1) ◽  
pp. 32-56 ◽  
Author(s):  
Bo Li ◽  
John Shopple
Keyword(s):  
Finite Element ◽  
Diffusion Equation ◽  
Level Set Method ◽  
Level Set ◽  
Finite Element Mesh ◽  
Local Geometry ◽  
Normal Velocity ◽  
Time Step ◽  
Element Level ◽  
Element Mesh

AbstractA new finite element level set method is developed to simulate the interface motion. The normal velocity of the moving interface can depend on both the local geometry, such as the curvature, and the external force such as that due to the flux from both sides of the interface of a material whose concentration is governed by a diffusion equation. The key idea of the method is to use an interface-fitted finite element mesh. Such an approximation of the interface allows an accurate calculation of the solution to the diffusion equation. The interface-fitted mesh is constructed from a base mesh, a uniform finite element mesh, at each time step to explicitly locate the interface and separate regions defined by the interface. Several new level set techniques are developed in the framework of finite element methods. These include a simple finite element method for approximating the curvature, a new method for the extension of normal velocity, and a finite element least-squares method for the reinitialization of level set functions. Application of the method to the classical solidification problem captures the dendrites. The method is also applied to the molecular solvation to determine optimal solute-solvent interfaces of solvation systems.

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