Numerical analysis of nonlinear water waves using arbitrary Lagrangian-Eulerian finite element method

Hiroshige Kikura, Tohru Takeguchi, Tatsuo Sawada, Takahiko Tanahashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Since free surface flows are seen in nature phenomena and artificial systems, the analysis for these flows has been more important in mechanical engineering. However, theoretical analyses are almost impossible because the boundary conditions are nonlinear equations in analyzing the free surface flows. Thus, numerical analyses are needed. Finite element method (FEM) which can be used for unstructured grid can easily treat boundary conditions. Thus, FEM is used in many technological fields. In this thesis, free surface flow problems were analyzed using the finite element method. In solving these problems, an arbitrary Lagrangian-Eulerian (ALE) kinematical description of the fluid domain was adopted, in which the nodal point can be displaced independently of the fluid motion. The ALE method was introduced into the Generalized Simplified Marker and Cell (GSMAC) method. Damping out the alternating errors was examined in this scheme.

Original languageEnglish
Pages (from-to)2632-2639
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume57
Issue number540
Publication statusPublished - 1991 Aug
Externally publishedYes

Fingerprint

water waves
Water waves
numerical analysis
Numerical analysis
finite element method
Finite element method
Boundary conditions
Fluids
Mechanical engineering
boundary conditions
Nonlinear equations
mechanical engineering
theses
fluids
problem solving
Damping
markers
nonlinear equations
damping
cells

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Numerical analysis of nonlinear water waves using arbitrary Lagrangian-Eulerian finite element method. / Kikura, Hiroshige; Takeguchi, Tohru; Sawada, Tatsuo; Tanahashi, Takahiko.

In: Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 57, No. 540, 08.1991, p. 2632-2639.

Research output: Contribution to journalArticle

@article{5190a76367644a90b0e35fbe1b3e6572,
title = "Numerical analysis of nonlinear water waves using arbitrary Lagrangian-Eulerian finite element method",
abstract = "Since free surface flows are seen in nature phenomena and artificial systems, the analysis for these flows has been more important in mechanical engineering. However, theoretical analyses are almost impossible because the boundary conditions are nonlinear equations in analyzing the free surface flows. Thus, numerical analyses are needed. Finite element method (FEM) which can be used for unstructured grid can easily treat boundary conditions. Thus, FEM is used in many technological fields. In this thesis, free surface flow problems were analyzed using the finite element method. In solving these problems, an arbitrary Lagrangian-Eulerian (ALE) kinematical description of the fluid domain was adopted, in which the nodal point can be displaced independently of the fluid motion. The ALE method was introduced into the Generalized Simplified Marker and Cell (GSMAC) method. Damping out the alternating errors was examined in this scheme.",
author = "Hiroshige Kikura and Tohru Takeguchi and Tatsuo Sawada and Takahiko Tanahashi",
year = "1991",
month = "8",
language = "English",
volume = "57",
pages = "2632--2639",
journal = "Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B",
issn = "0387-5016",
publisher = "Japan Society of Mechanical Engineers",
number = "540",

}

TY - JOUR

T1 - Numerical analysis of nonlinear water waves using arbitrary Lagrangian-Eulerian finite element method

AU - Kikura, Hiroshige

AU - Takeguchi, Tohru

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

PY - 1991/8

Y1 - 1991/8

N2 - Since free surface flows are seen in nature phenomena and artificial systems, the analysis for these flows has been more important in mechanical engineering. However, theoretical analyses are almost impossible because the boundary conditions are nonlinear equations in analyzing the free surface flows. Thus, numerical analyses are needed. Finite element method (FEM) which can be used for unstructured grid can easily treat boundary conditions. Thus, FEM is used in many technological fields. In this thesis, free surface flow problems were analyzed using the finite element method. In solving these problems, an arbitrary Lagrangian-Eulerian (ALE) kinematical description of the fluid domain was adopted, in which the nodal point can be displaced independently of the fluid motion. The ALE method was introduced into the Generalized Simplified Marker and Cell (GSMAC) method. Damping out the alternating errors was examined in this scheme.

AB - Since free surface flows are seen in nature phenomena and artificial systems, the analysis for these flows has been more important in mechanical engineering. However, theoretical analyses are almost impossible because the boundary conditions are nonlinear equations in analyzing the free surface flows. Thus, numerical analyses are needed. Finite element method (FEM) which can be used for unstructured grid can easily treat boundary conditions. Thus, FEM is used in many technological fields. In this thesis, free surface flow problems were analyzed using the finite element method. In solving these problems, an arbitrary Lagrangian-Eulerian (ALE) kinematical description of the fluid domain was adopted, in which the nodal point can be displaced independently of the fluid motion. The ALE method was introduced into the Generalized Simplified Marker and Cell (GSMAC) method. Damping out the alternating errors was examined in this scheme.

UR - http://www.scopus.com/inward/record.url?scp=0026202365&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026202365&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026202365

VL - 57

SP - 2632

EP - 2639

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 540

ER -