The wave resistance problem in a boundary integral formulation
type: Item
instance of: scholarly article
title: The wave resistance problem in a boundary integral formulation
zbMATH Open document ID: 0812.76048
author: Piero Bassanini
author: Ulderico Bulgarelli
author: Francesco Lalli
author: E. F. Campana
published in: Surveys on Mathematics for Industry
publication date: 1995-05-14T00:00:00Z
review text: The wave resistance problem in naval hydrodynamics for both two- and three-dimensional bodies is considered. The mathematical model is based on the Laplace equation in an unbounded domain with Neumann boundary condition on the body surface and two nonlinear boundary conditions on the (non-compact) free boundary. Under the physically appropriate asymptotic conditions at infinity, the flow perturbation velocity is written as the gradient of a simple layer potential distributed on the wetted hull and the free boundary (a formal proof of that representation is also discussed). As a consequence, the problem can be formulated in terms of BIEs and solved numerically by means of BEM. The exact (linearised) solutions found by Havelock for a two- and three-dimensional submerged dipole are recovered and compared with the numerical solutions.
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B20
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 696876
zbMATH Keywords: panel methods
zbMATH Keywords: Laplace equation
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: free boundary
zbMATH Keywords: simple layer potential
zbMATH Keywords: submerged dipole
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 696876