Finite volume simulation of waves formed by sliding masses

We numerically study a relatively simple two‐dimensional (2D) model for landslide‐generated nonlinear surface water waves. The landslides are modeled as rigid and impervious bodies translating on a flat or an inclined bottom. The water motion is assumed to be properly modeled by the 2D nonlinear sys...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical methods in biomedical engineering 2011-05, Vol.27 (5), p.732-757
Main Authors: Delis, A. I., Kazolea, M.
Format: Article
Language:English
Subjects:
Asymptotic properties
Dynamical systems
Dynamics of the ocean (upper and deep oceans)
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
External geophysics
finite volume
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
landslides
long waves
Mathematical analysis
Mathematical models
Nonlinear dynamics
Physics
Physics of the oceans
shallow water equations
Surface water
Two dimensional
Wave propagation
wave run-up and run-down
wet/dry fronts
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We numerically study a relatively simple two‐dimensional (2D) model for landslide‐generated nonlinear surface water waves. The landslides are modeled as rigid and impervious bodies translating on a flat or an inclined bottom. The water motion is assumed to be properly modeled by the 2D nonlinear system of shallow water equations. The resulting 2D system is numerically solved by means of a conservative well‐balanced high‐resolution finite volume upwind scheme esspecially adapted to treat advancing wet/dry fronts over irregular topography. Numerical results for 1D and 2D benchmark cases include comparisons with analytical or asymptotic solutions as well as comparisons with experimental data. The numerical investigation reveals that although the presented model has certain limitations, it appears to be able to model important aspects and the most significant characteristics of wave formation and propagation in their initial generation stage, namely, the waves moving toward the shore, the subsequent run‐up and run‐down, the waves propagating toward deep water, as well as the shape and arrival time of these waves. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:2040-7939
2040-7947
2040-7947
DOI:10.1002/cnm.1329