An approximate method for solving incompressible Navier-Stokes problem with flow rate conditions

Code:
MOX 70
Title:
An approximate method for solving incompressible Navier-Stokes problem with flow rate conditions
Date:
Friday 28th October 2005
Author(s):
Veneziani, Alessandro; Vergara, Christian
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Abstract:
We consider the incompressible Navier-Stokes problem with flow rate boundary conditions. This problem has been investigated in [2] and [12], following a Langrage multiplier approach. This approach has the drawback of high computational costs. In this paper, we propose an approximate formulation of the problem, yielding a strong reduction of the computational cost. The error analysis shows that the error introduced by this approximate formulation is confined in a smoll region of the boundary. This is a confirmed by the numerical simulations