New finite-element/finite-volume level set formulation for modelling two-phase incompressible flows

2006 ◽  
Vol 218 (2) ◽  
pp. 479-494 ◽  
Author(s):  
Sergey V. Shepel ◽  
Brian L. Smith
Keyword(s):  
Finite Element ◽  
Finite Volume ◽  
Level Set ◽  
Incompressible Flows ◽  
Two Phase ◽  
Volume Level ◽  
Level Set Formulation

A finite element based level set method for two-phase incompressible flows

2006 ◽  
Vol 9 (4) ◽  
pp. 239-257 ◽  
Author(s):  
Sven Groß ◽  
Volker Reichelt ◽  
Arnold Reusken
Keyword(s):  
Finite Element ◽  
Level Set Method ◽  
Level Set ◽  
Incompressible Flows ◽  
Two Phase

A finite-volume/level-set method for simulating two-phase flows on unstructured grids

2014 ◽  
Vol 64 ◽  
pp. 55-72 ◽  
Author(s):  
Néstor Balcázar ◽  
Lluís Jofre ◽  
Oriol Lehmkuhl ◽  
Jesús Castro ◽  
Joaquim Rigola
Keyword(s):  
Level Set Method ◽  
Finite Volume ◽  
Level Set ◽  
Unstructured Grids ◽  
Two Phase Flows ◽  
Two Phase ◽  
Volume Level

DAM BREAK SIMULATION USING LEVEL-SET FINITE VOLUME METHOD FOR SOLVING TWO PHASE INCOMPRESSIBLE FLOWS

2011 ◽  
pp. 1246-1253
Author(s):  
KIL SEONG LEE ◽  
KIDOO PARK ◽  
YEON SUNWOO WOO
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Level Set ◽  
Incompressible Flows ◽  
Dam Break ◽  
Two Phase ◽  
Volume Method

Finite element implementation of an improved conservative level set method for two-phase flow

2014 ◽  
Vol 100 ◽  
pp. 138-154 ◽  
Author(s):  
Lanhao Zhao ◽  
Jia Mao ◽  
Xin Bai ◽  
Xiaoqing Liu ◽  
Tongchun Li ◽  
...  
Keyword(s):  
Finite Element ◽  
Level Set Method ◽  
Level Set ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Finite Element Implementation ◽  
Conservative Level Set

scholarly journals The Finite Element Numerical Investigation of Free Surface Newtonian and Non-Newtonian Fluid Flows in the Rectangular Tanks

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Puyang Gao
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Level Set ◽  
Newtonian Fluid ◽  
Mass Conservation ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Two Phase ◽  
Navier Stokes Equation ◽  
Correction Technique

In this paper, we develop a new computational framework to investigate the sloshing free surface flow of Newtonian and non-Newtonian fluids in the rectangular tanks. We simulate the flow via a two-phase model and employ the fixed unstructured mesh in the computation to avoid the mesh distortion and reconstruction. As for the solution of Navier–Stokes equation, we utilize the SUPG finite element method based on the splitting scheme. The same order interpolation functions are then used for velocity and pressure. Moreover, the moving interface is captured via the concise level set method. We take advantage of the implicit discontinuous Galerkin method to handle the solution of level set and its reinitialization equations. A mass correction technique is also added to ensure the mass conservation property. The dam break-free surface flow is simulated firstly to demonstrate the validity of our mathematical model. In addition, the sloshing Newtonian fluid in the tank with flat and rough bottoms is considered to illustrate the feasibility and robustness of our computational scheme. Finally, the development of free surface for non-Newtonian fluid is also studied in the two tanks, and the influence of power-law index on the sloshing fluid flow is analyzed.

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