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
JournalTransactions of the Japan Society of Mechanical Engineers Series B
Volume57
Issue number540
DOIs
Publication statusPublished - 1991 Jan 1
Externally publishedYes

Keywords

  • ALE
  • FEM
  • GSMAC
  • Water Wave

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Numerical Analysis of Nonlinear Water Waves Using Arbitrary Lagrangian-Eulerian Finite Element Method'. Together they form a unique fingerprint.

  • Cite this