Numerical Simulation of a Dam Break Flow Using Finite Difference Approach

Abstract

Each and every phenomenon that occurs in this world is governed by some mathematical equations or functions, that means every incident can be represented in terms of mathematical functions of some independent variables. Likewise the flow that occurs after the break of a dam is represented by a set of some non-linear hyperbolic mathematical equations known as shallow water equations those are obtained from the profundity incorporating the Navier-Stokes equations where the horizontal dimensions are greater than the vertical dimensions. Investigation of dam break stream numerically is a fundamental piece of water driven designing practice. Estimation of peak flood profundity, its time of occurrence at a predefined area, wave fronts and evaluation of its fetch can be possible better through numerical models than that of physically-based models. In this present research work this system of shallow water equations are discretised by finite difference method (mainly using Mac Cormack method) for preparing the codes for programming in both MATLAB and FORTRAN to prepare a numerical model with all the required boundary conditions that used happen during a dam break. The numerical method used here for analysing the above governing mathematical statements are upgraded by utilizing the technique for fragmentary strides for rearranging application, treating the grinding slant, a hardened source term, point-certainly, for numerical swaying control and security. This prepared model is again validated with some documented results to know the accuracy and stability of the numerical discritisation and compared with a practical dam break case study analysed with HEC-RAS software so as to compare the different aspects of the model and the software. The present numerical examination has the capacity for resolution stuns, complex bed geometry including the impact of bed inclines and unpleasantness. So the above scheme is much effective in analysing the set of SWES than the former ones