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Mathematical techniques for wave interaction with flexible structures / Trilochan Sahoo.

By: Sahoo, Trilochan [author.].
Material type: materialTypeLabelBookSeries: IIT Kharagpur research monograph series: Publisher: Boca Raton, Fla. : Taylor & Francis, 2013Description: 1 online resource (xvi, 226 pages).ISBN: 9780429086595.Subject(s): Flexible structures -- Mathematical models | Fluid-structure interaction -- Mathematical modelsAdditional physical formats: Print version: : No titleDDC classification: 624.171 Online resources: Click here to view.
Contents:
1. General introduction -- 2. Fourier analysis -- 3. Green's function technique -- 4. Wave interaction with vertical flexible porous structures -- 5. Time domain analysis of wave structure interaction problems -- 6. Shallow water approximation -- 7. Boundary integral equation method.
Summary: This book presents a contemporary account of research on various mathematical/numerical techniques to deal with the interaction of surface gravity waves with flexible floating/submerged structures which are available in the scientific literature in a scattered manner. It emphasizes unique determination of the solution for a class of physical problems associated with Laplace or Helmholtz type equations, applications of the theory of ordinary and partial differential equations, Fourier Analyses etc. It provides a toolkit to a large section of the scientific community including mathematicians, physicists and engineers working on fluid structure interactions-- Provided by publisher.
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1. General introduction -- 2. Fourier analysis -- 3. Green's function technique -- 4. Wave interaction with vertical flexible porous structures -- 5. Time domain analysis of wave structure interaction problems -- 6. Shallow water approximation -- 7. Boundary integral equation method.

This book presents a contemporary account of research on various mathematical/numerical techniques to deal with the interaction of surface gravity waves with flexible floating/submerged structures which are available in the scientific literature in a scattered manner. It emphasizes unique determination of the solution for a class of physical problems associated with Laplace or Helmholtz type equations, applications of the theory of ordinary and partial differential equations, Fourier Analyses etc. It provides a toolkit to a large section of the scientific community including mathematicians, physicists and engineers working on fluid structure interactions-- Provided by publisher.

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