scholarly journals Parallel Finite Element Method for Large-scale Free Surface Flow Analysis Based on ALE method

1999 ◽  
Vol 2 ◽  
pp. 233-240
Author(s):  
Masaaki SAKURABA ◽  
Seizo TANAKA ◽  
Hiroyuki TAMAKI ◽  
Kazuo KASHIYAMA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Large Scale ◽  
Flow Analysis ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Ale Method ◽  
Scale Free ◽  
Parallel Finite Element

A Finite Element Method for a Nonlinear Sloshing Problem

2003 ◽  
Author(s):  
J. H. Kyoung ◽  
J. W. Kim ◽  
K. J. Bai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Impact Load ◽  
Surface Condition ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Time Step ◽  
Nonlinear Sloshing ◽  
Element Method

A nonlinear sloshing problem in LNG tanker is numerically simulated. During excessive sloshing, the sloshing-induced impact load can cause a critical damage on the tank structure. Recently, this problem became one of important issues in FPSO design. A three-dimensional free surface flow in a tank is formulated in the scope of potential flow theory. The exact nonlinear free surface condition is satisfied numerically. A finite-element method based on Hamilton’s principle is employed as a numerical scheme. The problem is treated as an initial-value problem. The computations are made through an iterative method at each time step. The hydrodynamic loading on the pillar in the tank is computed and compared with other results.

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.

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