NUMERICAL APPROACH FOR SOLVING 3D NAVIER-STOKES EQUATIONS
DJIBO MOUSTAPHA
Department of Mathematics, University Abdou Moumouni, Niamey, Niger.
ABANI MAIDAOUA ALI
Department of Mathematics, University Dan Dicko Dankoulodo, Maradi, Niger.
SALEY BISSO *
Department of Mathematics, University Abdou Moumouni, Niamey, Niger.
*Author to whom correspondence should be addressed.
Abstract
We propose in this paper a new approach for solving the Navier-Stokes equations in 3D. This method is based on a combination of a finite element method for spatial discretization and the characteristic method for time discretization. Some numerical simulations of the velocity vector and errors are presented. we compared our numerical solution with the one of Green-Taylor in order to verify the consistence of this method.
Keywords: Mixed finite elements, characteristics method’s, numerical simulation, Navier-Stokes equations