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On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow

, and . Incompressible Computational Fluid Dynamics, chapter 2, Cambridge University Press, (1993)
DOI: 10.1017/CBO9780511574856.003

Abstract

In this article we discuss the solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow, by numerical methods combining operator splitting for the time discretization and finite elements for the space discretization. The discussion includes the description of conjugate gradient algorithms which are used to solve the advection-diffusion and Stokes type problems produced at each time step by the operator splitting methods.

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