Welcome to Department of Mathematics
logo

Mail Us
mathoff[AT]iitg.ac.in

Call Us
+91-361-2582650

Wave Structure Interaction

Code: MA765 | L-T-P-C: 4-0-0-8

MA765 Wave Structure Interaction [4-0-0-8]

Prerequisites: MA561 Fluid Dynamics, MA762 Potential Flow of Fluids and water-Wave Theory

Wave forces on structures, Morison equation, Froude-Krylov theory, Diffraction Theory, Perturbation method of solutions. Radiation. Dynamics of floating structures, damping and added-mass.

Interaction of water waves with spherical and cylindrical objects, hydrodynamic coefficients.

Nonlinear long waves in shallow water, KdV equation. Inverse scattering transforms and the theory of solitons. The Scrodinger equation. Soliton solution of the KdV equation.

Texts:

  1. M. Rahman, Water Waves: Relating Modern Theory to Advanced Engineering Applications, OUP, 1994.
  2. G. B. Whitham, Linear and Nonlinear Waves, Wiley Interscience,.
  3. M. Isaacson and T. Sarpkaya, Mechanics of Wave Forces on Offshore Structures, Van Nostrand.
  4. C. C. Mei, The Applied Dynamics of Ocean Surface Waves, World Scientific.