Graduate Thesis Or Dissertation
 

Irregular points in wavemaker boundary value problem

Public Deposited

Contenu téléchargeable

Télécharger le fichier PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/xd07gx06c

Descriptions

Attribute NameValues
Creator
Abstract
  • A global solution is presented that accurately accounts for the singular behavior at all irregular points. The linearized boundary value problem in a semi-infinite strip in the physical plane is transformed into a smooth unit disk by two successive conformal mappings. The global solution results from a Fredholm integral equation that is obtained from Green's third identity applied to the circumference of the unit disk. The irregular points in the physical domain are transformed into both weak and strong singular kernels in the Fredholm integral equation. The two irregular points that are located at 1) the intersection between the free surface and the wavemaker boundaries and at 2) the intersection between the wavemaker and the bottom boundaries exhibit integrable weakly singular kernels. The far-field radiation boundary becomes a strongly singular kernel. The strength of the singular behavior of these kernels significantly affects the solution near these irregular points. The irregular frequencies are readily included in the global solution from the Fredholm alternative.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Déclaration de droits
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces

Des relations

Parents:

This work has no parents.

Dans Collection:

Articles

La vignette Titre Date de téléchargement Visibilité actes
file details TanakaYoshihiro1989.pdf 2017-08-16 Public Télécharger