Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 112
A Finite Volume Morphodynamic Model with Porosity for Flood Modeling
Abdelhafid Moumna, Imad Elmahi, Imad Kissami, Fayssal Benkhaldoun
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 12, 2022
March 03, 2106
April 15, 2106

Abstract: We present a finite volume method [4] for the numerical solution of morphodynamic model with porosity on unstructured triangular meshes [1,4] using a Non-Homogeneous Riemann Solver [2]. The model is based on coupling the shallow water equations with porosity for the hydrodynamics model can be attributed to the variation of bed properties [3] of the flow system. The numerical fluxes are reconstructed using a modified Roe's method involving the sign of the Jacobian matrix in the morphodynamic system. A well-balanced discretization is used for the treatment of source terms in the system [5]. ...