Numerical solution of Saint-Venant equation using Runge-Kutta fourth-order method

Author:

Sukron M,Habibah U,Hidayat N

Abstract

Abstract The Saint-Venant Equation (SVE) is the equation that describes the flow below a pressure surface in a fluid in unidirectional form. The SVE is in the form of partial differential equations. To solve the partial differential equations is rather complicated than the ordinary differential equations analytically and numerically. In this paper, we construct numerical schemes of the SVE by changing it into semi-discrete equation by using a finite difference in space (x) such that the SVE becomes ordinary differential equations (ODEs). Furthermore we solve the semi-discrete form of SVE by using Runge-Kutta fourth-order method since this method has smaller error and higher accuracy than the others method to solve ODE.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference8 articles.

1. Predictor-corrector scheme for simulating wave propagation on shallow water region;Fauzi;IOP Conference Series: Earth and Environmental Science,2018

2. Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations;Kurganov;SIAM J Sci Comput,2001

3. Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods;Lopes;Journal of Computational Physics,2018

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