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Field name	Details
Dewey Class	620
Title	Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations ([EBook] /) / by Andreas Prohl.
Author	Prohl, Andreas
Other name(s)	SpringerLink (Online service)
Publication	Wiesbaden : : Vieweg+Teubner Verlag : : Imprint: Vieweg+Teubner Verlag, , 1997.
Physical Details	XIV, 294 p. 29 illus. : online resource.
Series	Advances in Numerical Mathematics 1616-2994
ISBN	9783663111719
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-663-11171-9
Links to Related Works	Subject References: Engineering . Engineering, general . Authors: Prohl, Andreas . Corporate Authors: SpringerLink (Online service) . Series: Advances in Numerical Mathematics . Classification: 620 .

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Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations

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