Meshless simulation of dam break using MLPG-RBF and shallow water equations

On the relevance of the dam break problem in the context of nonlinear shallow water equations

The classical dam break problem has become the de facto standard in validating the nonlinear shallow water equations solvers. Moreover, the Nonlinear Shallow Water Equations (NSWE) are widely used for flooding simulations. While applied mathematics community is essentially focused on developing new numerical schemes, we tried to examine the validity of the mathematical model under consideration...

On the Physical Relevance of the Dam Break Problem in the Context of Nonlinear Shallow Water Equations

The classical dam break problem has become the de facto standard in validating the nonlinear shallow water equations solvers. Moreover, the Nonlinear Shallow Water Equations (NSWE) are widely used for flooding simulations. While applied mathematics community is essentially focused on developing new numerical schemes, we tried to examine the validity of the mathematical model under consideration...

Break fill-dam simulation using GeoStudio (case study: Safarood earth dam, Kerman)

One of the main reason of earth-dam breaks is inner erosion which is caused by washing fine soil particles and finally lead to seepage inside the dam. Seepage will decrease effective tension in the earth-dam's core and arching phenomena is occurred. More settlement of core than to shell is the consequence of arching and occurrence of cracking. In this paper, GeoStudio software based on finite e...

MLPG Formulation of the Multipoint Meshless FDM

Discussed is here the multipoint meshless finite difference method (MMFDM) following the original Collatz [2] multipoint concept, and the essential ideas of the meshless FDM [3]. The Collatz approach was based on interpolation, regular meshes and the local formulation of b.v. problems. On the other hand in the MFDM we deal with the moving weighted least squares (MWLS) approximation, arbitrarily...

Invesstigation of Dam Break Problem through solution of 1D-Shallow water equations using Fourth order Runge-Kutta Method, McCormack’s Method and Gudonov’s Method