A FRACTIONAL STEP ARBITRARY LAGRANGIAN-EULERIAN FINITE ELEMENT METHOD FOR FREE SURFACE DENSITY FLOWS

1993 ◽  
Vol 1 (1) ◽  
pp. 57-77 ◽  
Author(s):  
V. PALANISAMY ◽  
M. KAWAHARA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Surface Density ◽  
Fractional Step ◽  
Arbitrary Lagrangian Eulerian ◽  
Element Method

Fractional-Step Finite Element Method for Calculation of 3-D Free Surface Problem Using Level Set Method

2006 ◽  
Vol 18 (6) ◽  
pp. 742-747 ◽  
Author(s):  
Lan-hao Zhao ◽  
Tong-chun Li ◽  
Ling Wang ◽  
M. I. Herreros ◽  
M. Pastor
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Fractional Step ◽  
Element Method

scholarly journals Modeling Free Surface Flows Using Stabilized Finite Element Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Deepak Garg ◽  
Antonella Longo ◽  
Paolo Papale
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Numerical Scheme ◽  
Stokes Equations ◽  
Fluid Velocity ◽  
Computer Code ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Element Method

This work aims to develop a numerical wave tank for viscous and inviscid flows. The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method. The numerical scheme tracks the free surface location using fluid velocity. A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems. The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid. The benchmark tests demonstrate that the numerical approach is effective and an attractive tool for simulating viscous and inviscid free surface flows.

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