NDLI: Applicability of the method of fundamental solutions to 3-D wave–body interaction with fully nonlinear free surface

Content Provider	Springer Nature Link
Author	Wu, Nan Jing Tsay, Ting Kuei
Copyright Year	2008
Abstract	A numerical model for three-dimensional fully nonlinear free-surface waves is developed by applying a boundary-type meshless approach with a leap-frog time-marching scheme. Adopting Gaussian Radial Basis Functions to fit the free surface, a non-iterative approach to discretize the nonlinear free-surface boundary is formulated. Using the fundamental solutions of the Laplace equation as the solution form of the velocity potential, free-surface wave problems can be solved by collocations at only a few boundary points since the governing equation is automatically satisfied. The accuracy of the present method is verified by comparing the simulated propagation of a solitary wave with an exact solution. The applicability of the present model is illustrated by applying it to the problem of a solitary wave running up on a vertical surface-piercing cylinder and the problem of wave generation in infinite water depth by a submerged moving object.
Starting Page	61
Ending Page	78
Page Count	18
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	63
Issue Number	1
e-ISSN	15732703
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-10-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Meshless Method of fundamental solutions Nonlinear Water waves Wave–body interaction Numeric Computing Mathematical Modeling and Industrial Mathematics Analysis Applications of Mathematics Mechanics
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs

Time evolution of three-dimensional nonlinear gravity–capillary free-surface flows

A new approximate formulation of periodic gravity waves

Interaction of free-surface waves with floating flexible strips

Interaction of free-surface waves with a floating dock

Waves and singularities in nonlinear capillary free-surface flows

Davies’ surface condition and singularities of deep water waves

On the accuracy of finite-difference solutions for nonlinear water waves

Elementary water waves

Applicability of the method of fundamental solutions to 3-D wave–body interaction with fully nonlinear free surface

Similar Documents

Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs

Time evolution of three-dimensional nonlinear gravity–capillary free-surface flows

A new approximate formulation of periodic gravity waves

Interaction of free-surface waves with floating flexible strips

Interaction of free-surface waves with a floating dock

Waves and singularities in nonlinear capillary free-surface flows

Davies’ surface condition and singularities of deep water waves

On the accuracy of finite-difference solutions for nonlinear water waves

Elementary water waves

Applicability of the method of fundamental solutions to 3-D wave–body interaction with fully nonlinear free surface