A Moving Boundary Finite Element Method for Fully Nonlinear Wave Simulations

DM Greaves; AGL Borthwick; GX Wu; RE Taylor

doi:10.5957/jsr.1997.41.3.181

A Moving Boundary Finite Element Method for Fully Nonlinear Wave Simulations

DM Greaves, AGL Borthwick, GX Wu, RE Taylor

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The interaction of steep waves with surface ships and submarines may be simulated efficiently using a moving boundary finite element method. Here, unstructured hierarchical meshes are generated by triangularizing an underlying quadtree grid which adapts at each time step to follow the free surface. A potential flow theory finite element solver, developed by Wu & Eatock Taylor (1994,1995), is used to solve the two-dimensional nonlinear free surface problem in the time domain. Numerical results are presented for the following cases: standing waves in a rectangular tank; standing wave interaction with a fixed surface piercing rectangular body; and wave interaction with fixed submerged horizontal circular cylinders in a rectangular container. The results show encouraging agreement with analytical and alternative numerical schemes.

Original language	English
Pages (from-to)	181-194
Number of pages	0
Journal	Journal of Ship Research
Volume	41
Issue number	3
DOIs	https://doi.org/10.5957/jsr.1997.41.3.181
Publication status	Published - 1 Sept 1997

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title = "A Moving Boundary Finite Element Method for Fully Nonlinear Wave Simulations",

abstract = "The interaction of steep waves with surface ships and submarines may be simulated efficiently using a moving boundary finite element method. Here, unstructured hierarchical meshes are generated by triangularizing an underlying quadtree grid which adapts at each time step to follow the free surface. A potential flow theory finite element solver, developed by Wu & Eatock Taylor (1994,1995), is used to solve the two-dimensional nonlinear free surface problem in the time domain. Numerical results are presented for the following cases: standing waves in a rectangular tank; standing wave interaction with a fixed surface piercing rectangular body; and wave interaction with fixed submerged horizontal circular cylinders in a rectangular container. The results show encouraging agreement with analytical and alternative numerical schemes.",

author = "DM Greaves and AGL Borthwick and GX Wu and RE Taylor",

year = "1997",

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doi = "10.5957/jsr.1997.41.3.181",

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AU - Wu, GX

AU - Taylor, RE

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Y1 - 1997/9/1

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AB - The interaction of steep waves with surface ships and submarines may be simulated efficiently using a moving boundary finite element method. Here, unstructured hierarchical meshes are generated by triangularizing an underlying quadtree grid which adapts at each time step to follow the free surface. A potential flow theory finite element solver, developed by Wu & Eatock Taylor (1994,1995), is used to solve the two-dimensional nonlinear free surface problem in the time domain. Numerical results are presented for the following cases: standing waves in a rectangular tank; standing wave interaction with a fixed surface piercing rectangular body; and wave interaction with fixed submerged horizontal circular cylinders in a rectangular container. The results show encouraging agreement with analytical and alternative numerical schemes.

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EP - 194

JO - Journal of Ship Research

JF - Journal of Ship Research

IS - 3

ER -

A Moving Boundary Finite Element Method for Fully Nonlinear Wave Simulations

Abstract

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