IJPAM: Volume 93, No. 1 (2014)
NONLINEAR SURFACE GRAVITY WAVES
ON SHALLOW COAST
Taganrog Technological Institute
Southern Federal University
Nekrasovskyi 44, 347928, Taganrog, RUSSIAN FEDERATON
Abstract. The paper is devoted to three-dimensional numerical modeling of a runup of nonlinear surface gravity waves based on Navier-Stokes equations. The three-dimensional problem is stated, boundary and initial conditions are described. Using split method for physical processes, there has been constructed the discrete model with consideration of cell filling coefficient. The peculiarities of the modeled three-dimensional tank structure are described. There are presented three-dimensional models of stepwise runup of the surface gravity wave upon a sloping shore.
Received: January 18, 2014
AMS Subject Classification: 76D33
Key Words and Phrases: 3D numerical modelling of runup, Navier-Stokes equations, splitting method, shallow water tank, stepwise run-up of surface waves
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DOI: 10.12732/ijpam.v93i1.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 135 - 145
This work is licensed under the Creative Commons Attribution International License (CC BY).