Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier–Stokes equations

Abstract This paper deals with the iterative algorithm and the implementation of the spectral discretization of time-dependent Navier–Stokes equations in dimensions two and three. We present a variational formulation, which includes three independent unknowns: the vorticity, velocity, and pressure....

Full description

Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Mohamed Abdelwahed, Ebtisam Alharbi, Nejmeddine Chorfi, Henda Ouertani
Format:	Article
Language:	English
Published:	SpringerOpen 2020-10-01
Subjects:	Nonstationary Navier–Stokes equations Implicit Euler’s scheme Spectral discretization GMRES method
Online Access:	http://link.springer.com/article/10.1186/s13661-020-01464-8