Water Wave Scattering by Barriers
Birendra N. Mandal, Aloknath Chakrabarti
Witpress, 2000 - Technology & Engineering - 390 pages
In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.
35 pages matching submerged gap in this book
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The basic equations
Some important mathematical concepts and results
Explicit solutions to some barrier problems
11 other sections not shown
asymptotic basis functions behaviour bottom standing boundary condition boundary value problem Cauchy Cauchy principal value Chapter Chebyshev polynomials cosh deep water denotes determined dual integral equations expression fluid region Galerkin approximation Gegenbauer polynomials given Green function Green's integral theorem Hilbert problem hypersingular integral equation incident wave infinity integro-differential equation interface Kanoria Laplace equation lower fluid Mandal mathematical nearly vertical barrier normal incidence numerical oblique incidence obtained partially immersed barrier potential function reflection and transmission reflection coefficient relation Riemann Hilbert problem right side satisfies scattering problems involving singular integral equation solved square root singularities submerged barrier submerged gap submerged plate Substituting surface piercing surface water waves technique thin vertical barrier tion transmission coefficients two-dimensional uniform finite depth unknown constants unknown function upper fluid velocity potential water wave scattering wave number wave scattering problems wave train Wiener-Hopf zero