Handbook of Numerical Analysis : Numerical Methods for Fluids

Format Post in Engineering BY Jacques Louis Lions, P. G. Ciarlet, Philippe G. Ci

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Handbook of Numerical Analysis : Numerical Methods for Fluids Jacques Louis Lions, P. G. Ciarlet, Philippe G. Ci is available to download

Handbook of Numerical Analysis : Numerical Methods for Fluids Jacques Louis Lions, P.Handbook of Numerical Analysis ... Textbook G. Ciarlet, Philippe G. Ciarlet, Roland Glowinski
Type:	eBook
Released:	2003
Publisher:	Elsevier Science & Technology
Page Count:	1176
Format:	djvu
Language:	English
ISBN-10:	0444512241
ISBN-13:	9780444512246

Hardbound. This book size article is dedicated to the numerical simulation of unsteady incompressible viscous flow modelled by the Navier - Stokes equations, or by non-Newtonian variants of them. In order to achieve this goal we have developed a methodology based on the following tools: (i) Time discretization by operator splitting schemes such as Peaceman - Rachford's, Douglas - Rachford's ,Marchuk - Yanenko's, Strang's symmetrized, and the so-called theta - scheme introduced by the author in the mid - eighties. (ii) Projection methods (in L2 or H1) for the treatment of the incompressibility condition div u = 0. (iii) Treatment of the advection by: either a centered scheme leading to linear or nonlinear advection - diffusion problems solved by least squares / conjugate gradient algorithms, or to a linear wave - like equation well suited to finite element based solution methods.