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Related papers: The VOLNA code for the numerical modelling of tsun…

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The software package Volna-OP2 is a robust and efficient code capable of simulating the complete life cycle of a tsunami whilst harnessing the latest High Performance Computing (HPC) architectures. In this paper, a comprehensive error…

Computational Physics · Physics 2020-12-09 Daniel Giles , Eugene Kashdan , Dimitra M. Salmanidou , Serge Guillas , Frédéric Dias

Accurate and efficient tsunami modelling is essential for providing tsunami forecasts and hazard assessments. Volna-OP2 is a finite volume solver of the nonlinear shallow water equations and its capabilities of producing both faster than…

Atmospheric and Oceanic Physics · Physics 2020-04-17 Daniel Giles , Brian McConnell , Frédéric Dias

In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector method to achieve higher resolution. The underlying finite…

Numerical Analysis · Mathematics 2020-05-26 Gayaz Khakimzyanov , Denys Dutykh , Dimitrios Mitsotakis , Nina Shokina

To issue early warnings and rapidly initiate disaster responses after tsunami damage, various tsunami inundation forecast systems have been deployed worldwide. Japan's Cabinet Office operates a forecast system that utilizes supercomputers…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Keichi Takahashi , Takashi Abe , Akihiro Musa , Yoshihiko Sato , Yoichi Shimomura , Hiroyuki Takizawa , Shunichi Koshimura

In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for…

Numerical Analysis · Mathematics 2025-05-14 Mirco Ciallella , Lorenzo Micalizzi , Victor Michel-Dansac , Philipp Öffner , Davide Torlo

Recent scientific studies have suggested that, in certain physical configurations, the time-dependent behavior of earthquake rupture and seafloor (bathymetry) motion can leave observable near-field signatures in tsunami wave generation and…

Numerical Analysis · Mathematics 2025-08-29 Thomas Melkior , Harsha S Bhat , Faisal Amlani

A plethora of studies in the past decade describe tsunami hazards and study their evolution from the source to the target coastline, but mainly focus on coastal inundation and maximum runup. Nonetheless, anecdotal reports from eyewitnesses,…

Geophysics · Physics 2016-11-15 Roberto Marivela , Robert Weiss , Costas Synolakis

While the propagation of tsunamis is well understood and well simulated by numerical models, there are still a number of unanswered questions related to the generation of tsunamis or the subsequent inundation. We review some of the basic…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Frédéric Dias , Denys Dutykh , Laura O'Brien , Emiliano Renzi , Themistoklis Stefanakis

We introduce a finite volume scheme to solve a special case of isotropic 3-wave kinetic equations. We test our numerical solution against theoretical results concerning the long time behavior of the energy and observe that our solutions…

Numerical Analysis · Mathematics 2023-06-16 Steven Walton , Minh-Binh Tran

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis function based finite differences. The inundation model relies on…

Atmospheric and Oceanic Physics · Physics 2018-05-09 Rüdiger Brecht , Alexander Bihlo , Scott MacLachlan , Jörn Behrens

In this article, we present a predictive model for the amplitude of impulse waves generated by the collapse of a granular column into a water layer. The model, which combines the spreading dynamics of the grains and the wave hydrodynamics…

Fluid Dynamics · Physics 2022-09-08 Wladimir Sarlin , Cyprien Morize , Alban Sauret , Philippe Gondret

This paper applies variational data assimilation to inundation problems governed by the shallow water equations with wetting and drying. The objective of the assimilation is to recover an unknown time-varying wave profile at an open ocean…

Fluid Dynamics · Physics 2017-06-07 S. W Funke , P. E Farrell , M. D. Piggott

We give an elementary proof of uniqueness for the integral curve starting from the vertical axis in the phase-plane analysis of the recent model [A. Constantin, R.S. Johnson, Propagation of very long water waves, with vorticity, over…

Dynamical Systems · Mathematics 2011-03-15 Octavian G. Mustafa

The runup of tsunami waves on the coasts of the barrow bays, channels and straits is studied in the framework of the nonlinear shallow water theory. Using the narrowness of the water channel, the one-dimensional equations are applied; they…

Exactly Solvable and Integrable Systems · Physics 2016-09-08 Narcisse Zahibo , Efim Pelinovsky , Vladimir Golinko , Nataly Osipenko

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

Fluid Dynamics · Physics 2014-10-10 Thomas T. O'Shea , Kyle A. Brucker , Douglas G. Dommermuth , Donald C. Wyatt

In this work, we take a modern high-resolution finite-volume scheme for solving the rotational shallow-water equations and extend it with features required to run real-world ocean simulations. Our contributions include a spatially varying…

Computational Physics · Physics 2019-12-06 André R. Brodtkorb , Håvard Heitlo Holm

The life of a tsunami is usually divided into three phases: the generation (tsunami source), the propagation and the inundation. Each phase is complex and often described separately. A brief description of each phase is given. Model…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Frédéric Dias , Denys Dutykh

This study presents a numerical simulation of a 3D viscous flow in the VKI-Genoa cascade that takes into account the laminar-turbulent transition. The numerical simulation is performed using the Reynolds-averaged Navier-Stokes equations and…

Fluid Dynamics · Physics 2016-12-07 Sergiy Yershov , Anton Derevyanko , Viktor Yakovlev , Maria Gryzun

Active galactic nuclei, x-ray binaries, pulsars, and gamma-ray bursts are all believed to be powered by compact objects surrounded by relativistic plasma flows driving phenomena such as accretion, winds, and jets. These flows are often…

Astrophysics · Physics 2009-06-23 Alexander Tchekhovskoy , Jonathan C. McKinney , Ramesh Narayan
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