A Numerical Study of Linear Long Water Waves over Variable Topographies using a Conformal Mapping
AUTOR(ES)
FLAMARION, M. V.; RIBEIRO-JR, R.
FONTE
Trends in Computational and Applied Mathematics
DATA DE PUBLICAÇÃO
2022
RESUMO
ABSTRACT In this work we present a numerical study of surface water waves over variable topographies for the linear Euler equations based on a conformal mapping and Fourier transform. We show that in the shallow-water limit the Jacobian of the conformal mapping brings all the topographic effects from the bottom to the free surface. Implementation of the numerical method is illustrated by a MATLAB program. The numerical results are validated by comparing them with exact solutions when the bottom topography is flat, and with theoretical results for an uneven topography.
Documentos Relacionados
- Simulation of irregular waves over submerged obstacle on a NURBS potential numerical wave tank
- Study of water entry of circular cylinder by using analytical and numerical solutions
- Analysis of Legionella pneumophila serogroup 6 strains isolated from a hospital warm water supply over a three-year period by using genomic long-range mapping techniques and monoclonal antibodies.
- ON MODULI IN CONFORMAL MAPPING
- Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method