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[CT060]

Session Date & Time : 1C (Aug.21, 13:20-15:00)
Type : Contributed Talk
Abstract : Scattering of obliquely incident gravity waves by a horizontal floating flexible porous membrane in the water of finite depth having a variable bottom bed is analyzed. A coupled eigenfunction expansion - boundary element method is used for the solution purpose. The effect of sinusoidally varying bottom topography, membrane porosity and heading angle of the incident wave on the Bragg resonance is analyzed.
Classification : 45B05, 76B15, Integral Equations
Author(s) :
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Date & Time : 1C (Aug.21, 13:20-15:00)
Type : Contributed Talk
Abstract : This study examines the dispersion of water waves by inverted semicircular surface-piercing wave barriers installed on a stepped seabed. The “Boundary element method” is applied to handle the present “Boundary value problem”. In addition to this energy identity is derived to estimate the dispersion of wave energy by the pair of perforated wave barriers. In addition, the influence of porosity, geometrical configurations of pair of porous barriers, and stepped seabed on the energy dissipation are investigated. The study reveals that for smaller Keulegan-Carpenter (KC) number, the “energy dissipation” due to the perforated barriers is higher. However, the reflection coefficient shows the opposite pattern.
Classification : 45B05, 45G15, 45F05
Author(s) :
- SANTANU KUMAR DASH (Birla Institute of Technology and Science-Pilani, Hyderabad campus)
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Date & Time : 1C (Aug.21, 13:20-15:00)
Type : Contributed Talk
Abstract : This study examines the dispersion of water waves by inverted semicircular surface-piercing wave barriers installed on a stepped seabed in presence of a rigid wall in the right far-field boundary. The boundary element method is applied to handle the present boundary value problem. In addition, the energy identity is derived to estimate wave energy dispersion by the pair of perforated wave barriers. The influence of porosity, geometrical configurations of pair of porous barriers, and stepped seabed on the energy dissipation are investigated. The study reveals that for smaller Keulegan-Carpenter (KC) number, the energy dissipation due to the perforated barriers is higher. However, the reflection coefficient shows the opposite pattern.
Classification : 45B05, 45G15, 45F05
Author(s) :
- KAILASH CHAND SWAMI (Birla Institute of Technology & Science-Pilani,Hyderabad Campus)
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Date & Time : 1C (Aug.21, 13:20-15:00)
Type : Contributed Talk
Abstract : The hydrodynamics of a hybrid wave energy converter device is investigated. For the sake of mathematical modeling, the associated boundary value problem is converted into a system of Fredholm integral equations and solved using the boundary element method. To incorporate the higher order plate boundary condition, central difference scheme is used. Primary emphasis is given to analyze the power extraction of the hybrid wave energy converter device for various incident wave parameters associated with the hybrid wave energy converter device.
Classification : 45B05, 76B15, 76B07
Author(s) :
- KSHMA TRIVEDI (Birla Institute of Technology and Science-Pilani, Hyderabad campus)
- SANTANU KOLEY (Birla Institute of Technology and Science-Pilani, Hyderabad campus)

Session Date & Time : 1C (Aug.21, 13:20-15:00)
Type : Contributed Talk
Abstract : We are interested in approximate solutions of the integral equation $x(s) - \int_{0}^{1} \kappa(s, t, x(t)) dt = f(s)$, where $f$ and the kernel $\kappa$ are given. A class of projection methods are available for obtaining approximate solutions to the above integral equation. Modified projection method is recently proposed and it exhibits higher orders of convergence as compared to the Galerkin/collocation methods. Here, we define and analyze a discrete version of the above projection methods.
Classification : 45G10, 65B05, 65J15, 65R20
Author(s) :
- Gobinda Rakshit (Rajiv Gandhi Institute of Petroleum Technology, Jais Campus, Amethi, Uttar Pradesh 229304, India)