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Handbook of Numerical Analysis : Numerical Methods for Fluids

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

0444512241 Shared By Guest

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.

Handbook of Numerical Analysis : Numerical Methods for Fluids

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