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.
| Language | English |
|---|---|
| Pages | 1498-1513 |
| Number of pages | 16 |
| Journal | Journal of Computational Physics |
| Volume | 229 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Mar 2010 |
Fingerprint
Keywords
- cylindrical structure
- scaled boundary finite-element method
- unbounded domain
- wave diffraction
Cite this
}
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 journal › Article
TY - JOUR
T1 - Modelling of water wave interaction with multiple cylinders of arbitrary shape
AU - Song, Hao
AU - Tao, Longbin
AU - Chakrabarti, Subrata
PY - 2010/3/1
Y1 - 2010/3/1
N2 - 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.
AB - 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.
KW - cylindrical structure
KW - scaled boundary finite-element method
KW - unbounded domain
KW - wave diffraction
UR - http://www.scopus.com/inward/record.url?scp=72449135671&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2009.10.041
DO - 10.1016/j.jcp.2009.10.041
M3 - Article
VL - 229
SP - 1498
EP - 1513
JO - Journal of Computational Physics
T2 - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 5
ER -