Projection and quasi-compressibility methods for solving the incompressible Navier-Stokes equations (Advances in numerical mathematics) - Brossura

Prohl, Andreas

 
9783519027232: Projection and quasi-compressibility methods for solving the incompressible Navier-Stokes equations (Advances in numerical mathematics)
Brossura
ISBN 10: 3519027232 ISBN 13: 9783519027232
Casa editrice: B.G. Teubner, 1997

Sinossi

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

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
B.G. Teubner
Data di pubblicazione
1997
Lingua
Inglese
ISBN 10 
3519027232
ISBN 13 
9783519027232
Rilegatura
Copertina flessibile
Numero di pagine
312
Contatto del produttore
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Darmstadt
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Germania

Altre edizioni note dello stesso titolo

9783663111726: Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations

Edizione in evidenza

ISBN 10:  3663111725 ISBN 13:  9783663111726
Casa editrice: Vieweg+Teubner Verlag, 2014
Brossura