Numerical Solution of the Incompressible Navier-Stokes Equations

L. Quartapelle

ISBN 10: 3034896891 / ISBN 13: 9783034896894

Verlag: Birkhäuser Basel, Springer Basel, 2012

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.

Bestandsnummer des Verkäufers 9783034896894

Bibliografische Details

• Titel: Numerical Solution of the Incompressible Navier-Stokes Equations
• Verlag: Birkhäuser Basel, Springer Basel
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 3034896891
• ISBN-13: 9783034896894
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 17 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 17 mm
• Gewicht: 470 Gramm

Über diesen Titel

Inhaltsangabe

This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.