Applications of boundary integral equation methods for two‐dimensional non‐linear water wave problems

Philip L.‐F Liu; H. ‐W Hsu; Meng H. Lean

doi:10.1002/fld.1650150912

Applications of boundary integral equation methods for two‐dimensional non‐linear water wave problems

Philip L.‐F Liu, H. ‐W Hsu, Meng H. Lean

Department of Hydraulic and Ocean Engineering

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

18 Citations (Scopus)

Abstract

On the basis of the integral equation approach, numerical algorithms for solving non‐linear water wave problem are presented. The free surface flow is assumed to be irrotational. Two different Green functions are used in the integral equations. The non‐linear free‐surface boundary conditions are treated by a time‐stepping Lagrangian technique. Several numerical examples are given, including permanent periodic waves, overturning progressive waves, breaking standing waves and sloshing problems.

Original language	English
Pages (from-to)	1119-1141
Number of pages	23
Journal	International Journal for Numerical Methods in Fluids
Volume	15
Issue number	9
DOIs	https://doi.org/10.1002/fld.1650150912
Publication status	Published - 1992 Nov 15

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Applied Mathematics

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10.1002/fld.1650150912

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abstract = "On the basis of the integral equation approach, numerical algorithms for solving non‐linear water wave problem are presented. The free surface flow is assumed to be irrotational. Two different Green functions are used in the integral equations. The non‐linear free‐surface boundary conditions are treated by a time‐stepping Lagrangian technique. Several numerical examples are given, including permanent periodic waves, overturning progressive waves, breaking standing waves and sloshing problems.",

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AB - On the basis of the integral equation approach, numerical algorithms for solving non‐linear water wave problem are presented. The free surface flow is assumed to be irrotational. Two different Green functions are used in the integral equations. The non‐linear free‐surface boundary conditions are treated by a time‐stepping Lagrangian technique. Several numerical examples are given, including permanent periodic waves, overturning progressive waves, breaking standing waves and sloshing problems.

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Applications of boundary integral equation methods for two‐dimensional non‐linear water wave problems

Abstract

All Science Journal Classification (ASJC) codes

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