Modelling of water wave interaction with multiple cylinders of arbitrary shape

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Song, Hao²  Tao, Longbin¹  Chakrabarti, Subrata³ 

[1] Newcastle Univ, Sch Marine Sci & Technol, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] Griffith Univ, Griffith Sch Engn, Gold Coast, Qld 4222, Australia

[3] Offshore Struct Anal Inc, Plainfield, IL 60544 USA

关键词: Scaled boundary finite-element method;    Wave diffraction;    Unbounded domain;    Cylindrical structure;   

DOI  :  10.1016/j.jcp.2009.10.041

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free