Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Stuhlmeier, Raphael"'
This paper sets out to explore the modulational (or Benjamin-Feir) instability of a monochromatic wave propagating in the presence of damping such as that induced by sea-ice on the ocean surface. The fundamental wave motion is modelled using the spat
Externí odkaz:
http://arxiv.org/abs/2403.07425
In this manuscript we investigate the Benjamin-Feir (or modulation) instability for the spatial evolution of water waves from the perspective of the discrete, spatial Zakharov equation, which captures cubically nonlinear and resonant wave interaction
Externí odkaz:
http://arxiv.org/abs/2403.06558
Autor:
Stuhlmeier, Raphael
The Hamiltonian formulation of the water wave problem due to Zakharov, and the reduced Zakharov equation derived therefrom, have great utility in understanding and modelling water waves. Here we set out to review the cubic Zakharov equation and its u
Externí odkaz:
http://arxiv.org/abs/2401.03539
Publikováno v:
Physics of Fluids 35, 062104 (2023)
We develop a new methodology for the deterministic forecasting of directional ocean surface waves, based on nonlinear frequency corrections. These frequency corrections can be pre-computed based on measured energy density spectra, and therefore come
Externí odkaz:
http://arxiv.org/abs/2306.13447
Autor:
Andrade, David, Stuhlmeier, Raphael
We develop a general framework to describe the cubically nonlinear interaction of a unidirectional degenerate quartet of deep-water gravity waves. Starting from the discretised Zakharov equation, and thus without restriction on spectral bandwidth, we
Externí odkaz:
http://arxiv.org/abs/2208.08172
Publikováno v:
Physics of Fluids 33, 102116 (2021)
We derive a simple algebraic form of the nonlinear wavenumber correction of surface gravity waves in deep water, based on temporal measurements of the water surface and the spatial Zakharov equation. This allows us to formulate an improvement over li
Externí odkaz:
http://arxiv.org/abs/2108.09237
Autor:
Andrade, David, Stuhlmeier, Raphael
Publikováno v:
In European Journal of Mechanics / B Fluids September-October 2023 101:320-336
We review the theory of wave interaction in finite and infinite depth. Both of these strands of water-wave research begin with the deterministic governing equations for water waves, from which simplified equations can be derived to model situations o
Externí odkaz:
http://arxiv.org/abs/1909.04348
Autor:
Kluczek, Mateusz, Stuhlmeier, Raphael
We provide an in-depth exploration of the mass-transport properties of Pollard's exact solution for a zonally-propagating surface water-wave in infinite depth. Without resorting to approximations we discuss the Eulerian mass transport of this fully n
Externí odkaz:
http://arxiv.org/abs/1907.01924