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 271
The numerical solutions of 2D Euler equations by using a FVC scheme
Moussa Ziggaf, Mohamed Boubekeur, Imad Kissami, Imad El Mahi and Fayssal Benkhaldoun
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2237
April 15, 2237

Abstract: A new scheme for the approximation of the spatial derivative terms in the framework of the finite volume method has been proposed in this paper. This scheme uses the velocity component normal to the control volume interface as the characteristic velocity of the conservative variables of our equation system. The method is simple, accurate and avoids the resolution of Riemann problems in the time integration process. The scheme has been shown to be effective on the shallow water equations through a recent study see e.g. [1, 2], and it is very simple and easy to implement. In this work, the ...