A fractional step method for unsteady free-surface flow with applications to non-linear wave dynamics

1998 ◽  
Vol 28 (2) ◽  
pp. 293-315 ◽  
Author(s):  
Stefan Mayer ◽  
Antoine Garapon ◽  
Lars. S. Sørensen
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Fractional Step ◽  
Linear Wave ◽  
Step Method ◽  
Fractional Step Method ◽  
Wave Dynamics ◽  
Non Linear

scholarly journals Non-linear wave equations for free surface flow over a bump

2020 ◽  
Vol 62 (2) ◽  
pp. 159-169
Author(s):  
Shino Sakaguchi ◽  
Keisuke Nakayama ◽  
Thuy Thi Thu Vu ◽  
Katsuaki Komai ◽  
Peter Nielsen
Keyword(s):  
Free Surface ◽  
Wave Equations ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Linear Wave ◽  
Non Linear ◽  
Linear Wave Equations

A Fractional Two-Step Finite Element Formulation for Unsteady Free Surface Flow Using ALE Method

2004 ◽  
Vol 261-263 ◽  
pp. 573-578
Author(s):  
Q. Li ◽  
H.Z. Liu ◽  
Zhuo Zhuang ◽  
S. Yamaguchi ◽  
Masao Toyoda
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Free Surface Flow ◽  
Linear Interpolation ◽  
Surface Flow ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Step Method ◽  
Fractional Step Method ◽  
Ale Method

A numerical algorithm using equal-order linear finite element and fractional two-step method is presented in this paper, which is used for analysis of incompressible viscous fluid flow with free surface problems. In order to avoid severe mesh distortions, ALE method is used for dealing with the free surface sloshing. For numerical integration, the fractional step method is employed, which is useful because the same linear interpolation functions for both velocity and pressure could be carried out in the finite element formulation. The present algorithm has been applied to some examples and proved to be accurate and more efficient.

scholarly journals On enhanced non-linear free surface flow simulations with a hybrid LBM–VOF model

2013 ◽  
Vol 65 (2) ◽  
pp. 211-229 ◽  
Author(s):  
Christian F. Janßen ◽  
Stephan T. Grilli ◽  
Manfred Krafczyk
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow Simulations ◽  
Vof Model ◽  
Non Linear

Non-linear turbulence models for multiphase recirculating free-surface flow over stepped spillways

2009 ◽  
Vol 23 (5) ◽  
pp. 401-409 ◽  
Author(s):  
Amarin Tongkratoke ◽  
Chaiyuth Chinnarasri ◽  
Adichai Pornprommin ◽  
Pramote Dechaumphai ◽  
Varangrat Juntasaro
Keyword(s):  
Free Surface ◽  
Turbulence Models ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Stepped Spillways ◽  
Non Linear

scholarly journals Non Linear Free-Surface Flow Over a Submerged Obstacle

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Abdelkrim Merzougui ◽  
Abdelkader Laiadi
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Non Linear
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