Affiliation:
1. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh 11451 , Saudi Arabia
Abstract
Abstract
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure. We use the backward Euler scheme for time discretization and the spectral method for space discretization. We present a complete numerical analysis linked to this variational formulation, which leads us to a priori error estimate.
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