Level-set finite element simulation of free-surface flow

2007 ◽  
Author(s):  
Haegyun Lee
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Finite Element Simulation ◽  
Level Set ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Element Simulation

scholarly journals Finite Element Simulation of Three-Dimensional Free-Surface Flow Problems

2005 ◽  
Vol 24 (2) ◽  
pp. 147-162 ◽  
Author(s):  
M. A. Walkley ◽  
P. H. Gaskell ◽  
P. K. Jimack ◽  
M. A. Kelmanson ◽  
J. L. Summers
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Finite Element Simulation ◽  
Three Dimensional ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow Problems ◽  
Element Simulation

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.

A dissipative finite element model for free surface flow

1988 ◽  
Vol 104 (1-4) ◽  
pp. 289-299 ◽  
Author(s):  
Litsa Anastasiadou-Partheniou ◽  
George A. Terzidis
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Finite Element Model ◽  
Free Surface Flow ◽  
Element Model ◽  
Surface Flow
Sign in / Sign up

Export Citation Format

Share Document