A One-Dimensional Integral Equation for a Porous Horizontal Disc under Water Waves
Luiz Fernando de Moraes Campos Filho, Leandro Farina, Juliana Sartori Ziebell
Abstract
Wave scattering by a thin, porous circular plate submerged in deep water is investigated. The problem is formulated as a second-kind hypersingular Fredholm integral equation over the unit disk, solved numerically using the Boundary Element Method. The analysis focuses on calculating hydrodynamic forces, specifically added mass (real part) and damping coefficient (imaginary part). Results demonstrate the influence of the porosity parameter G: less porous plates (G real) increase added mass and hydrodynamic force, while more porous plates (G imaginary) reduce these effects but increase the damping coefficient. The proposed formulation is validated, showing excellent agreement with established literature.
Create a lesson
Related papers
High-order stabilized matrix-free simulation of rotating mixing devices using the Mortar Element Method
B. Campos, P. Munch, V. O. Ferreira et al.
How well can Diffusion Models learn Lagrangian-Tracer Statistics in Non-reciprocal Turbulence?
Pratyush Jha, Biswajit Maji, Rahul Pandit
Dynamical slowdown, bottlenecks, and multiscaling in Voigt-regularised turbulence
Anikat Kankaria, Bikram Pal, Edriss S. Titi et al.
Energy transfer and scale organisation in dense canopy turbulence
Riccardo Bertoncello, Alessandro Chiarini, Giulio Foggi Rota et al.
Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications
E. Mémin, B. Chapron, A. Debussche et al.
High-resolution in situ analysis of biomass pyrolysis by combining quantitative synchrotron μCT and 3D particle-resolved simulations
Emeric Boigné, Mohamed M. Ahmed, Collin Foster et al.