18_Renzi_etal_IWWWFB_30.pdf (200.36 kB)
Extended mild-slope equations for compressible fluids
conference contribution
posted on 2015-07-03, 11:06 authored by Emiliano Renzi, C. Cecioni, G. Bellotti, Paolo Sammarco, F. DiasIn this paper we derive new forms of the mildslope
equation (MSE) for water waves in a
weakly compressible fluid on a slowly varying
bathymetry, with surface and bottom disturbances.
The MSE is a powerful tool to model the
refraction-diffraction dynamics of water waves
propagating on a variable bathymetry [1]. Traditionally,
mild-slope models are derived by assuming
that the wave steepness is small, the fluid
is inviscid and incompressible and the motion
is irrotational. Furthermore, no disturbances
are normally considered both on the free surface
and at the bottom of the fluid domain [2]. In
this paper we shall find new expressions of the
MSE by relaxing the incompressibility hypothesis
and considering both surface and bottom disturbances.
We shall name the set of new formulae
as the extended acoustic-gravity mild-slope
equations (EAG-MSE). Such a system of equations
can be implemented in numerical models
for the early detection of coastal flooding based
on the hydro-acoustic precursors of surface gravity
waves (see [3]–[5]).
Funding
The work of E.R. is funded by the AXA Research Fund. F.D. is supported by the ERC- 2011-AdG 290562-MULTIWAVE.
History
School
- Science
Department
- Mathematical Sciences
Published in
30th International Workshop of Water Waves and Floating BodiesCitation
RENZI, E. et al., 2015. Extended mild-slope equations for compressible fluids. IN: 30th International Workshop of Water Waves and Floating Bodies, Bristol, UK, 12-15 April 2015, 4pp.Publisher
IWWWFBVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015Notes
This is a conference paper.Publisher version
Language
- en