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＜電子ブック＞
Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations
(Advances in Numerical Mathematics)

版	1st ed. 1997.
出版者	(Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag)
出版年	1997
大きさ	XIV, 294 p. 29 illus : online resource
著者標目	SpringerLink (Online service)
件　名	LCSH:Engineering FREE:Technology and Engineering
一般注記	Preliminaries -- Stationary Quasi-Compressibility Methods: The Penalty Method and the Pressure Stabilization Method -- Nonstationary Quasi-Compressibility Methods -- Mixed Quasi-Compressibility Methods -- The Projection Scheme of Chorin -- The Projection Scheme of Van Kan -- Two Modified Chorin Schemes -- Multi-Component Schemes -- Time Discretization on Time-Grids with Structure — from Euler and Trapezoidal Method to Revised Projection Schemes -- Summary and Outlook Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, their success remained somewhat mysterious as the operator splitting implicitly introduces a nonphysical boundary condition for the pressure. The objectives of this monograph are twofold. First, a rigorous error analysis is presented for existing projection methods by means of relating them to so-called quasi-compressibility methods (e.g. penalty method, pressure stabilzation method, etc.). This approach highlights the intrinsic error mechanisms of these schemes and explains the reasons for their limitations. Then, in the second part, more sophisticated new schemes are constructed and analyzed which are exempted from most of the deficiencies of the classical projection and quasi-compressibility methods. "... this book should be mandatory reading for applied mathematicians specializing in computational fluid dynamics." J.-L.Guermond. Mathematical Reviews, Ann Arbor HTTP:URL=https://doi.org/10.1007/978-3-663-11171-9

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