Modelling of water wave interaction with multiple cylinders of arbitrary shape

Hao Song, Longbin Tao, Subrata Chakrabarti

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

This paper describes the development of an efficient numerical model, namely scaled boundary finite-element method (SBFEM) for linear waves interaction with cylindrical structures of arbitrary shapes. The two-dimensional Helmholtz equation is firstly weakened in the circumferential direction, so that the governing partial differential equation is transformed to an ordinary matrix differential equation in radial direction, and is solved fully analytically. As a key element, a virtual porous circular cylinder surrounding the cylindrical structures is introduced so that the entire computational domain is partitioned along the virtual cylinder into an unbounded and several bounded sub-domains with common interfaces. The principle innovation is that, the present SBFEM model chooses Hankel function as a base solution for the unbounded sub-domain, while a power series is used for the internal bounded sub-domains. The approach discretises only the common interfaces of the sub-domains with surface finite-elements, and fewer elements are required to obtain very accurate results. Numerical simulations show that the new SBFEM model offers a considerable improvement by far in its numerical performance, as well as in the range of physical phenomena that is capable of simulating. The wave forces and run-ups are presented for a single and multiple cylindrical structures of different cross sectional shapes. Influences of the incident wave parameters and structural configurations on the hydrodynamics are examined.

LanguageEnglish
Pages1498-1513
Number of pages16
JournalJournal of Computational Physics
Volume229
Issue number5
DOIs
Publication statusPublished - 1 Mar 2010

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water waves
Water waves
wave interaction
Finite element method
Hankel functions
finite element method
Helmholtz equation
Circular cylinders
Partial differential equations
Numerical models
Differential equations
Hydrodynamics
Innovation
Helmholtz equations
power series
circular cylinders
partial differential equations
Computer simulation
differential equations
hydrodynamics

Keywords

  • cylindrical structure
  • scaled boundary finite-element method
  • unbounded domain
  • wave diffraction

Cite this

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Modelling of water wave interaction with multiple cylinders of arbitrary shape. / Song, Hao; Tao, Longbin; Chakrabarti, Subrata.

In: Journal of Computational Physics, Vol. 229, No. 5, 01.03.2010, p. 1498-1513.

Research output: Contribution to journalArticle

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