Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions

Abstract

This work considers the problems of numerical simulation of non-linear surface gravity waves transformation under shallow bay conditions. The discrete model is built from non-linear shallow-water equations. Are resulted boundary and initial conditions. The method of splitting into physical processes receives system from three equations. Then we define the approximation order and investigate stability conditions of the discrete model. The sweep method was used to calculate the system of equations. This work presents surface gravity wave profiles for different propagation phases.

This work considers the problems of numerical simulation of non-linear surface gravity waves transformation under shallow bay conditions. The discrete model is built from non-linear shallow-water equations. Are resulted boundary and initial conditions. The method of splitting into physical processes receives system from three equations. Then we define the approximation order and investigate stability conditions of the discrete model. The sweep method was used to calculate the system of equations. This work presents surface gravity wave profiles for different propagation phases.

Cite this paper

I. Abbasov, "Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions,"*Applied Mathematics*, Vol. 3 No. 2, 2012, pp. 135-141. doi: 10.4236/am.2012.32021.

I. Abbasov, "Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions,"

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