Skip to main content
SpringerLink
Log in
Birkhäuser

Numerical Solution of the Incompressible Navier-Stokes Equations

  • Book
  • © 1993

Overview

Authors:
  1. L. Quartapelle

    1. Dipartimento di Fisica, Politecnico di Milano, Milano, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 113)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. The incompressible Navier—Stokes equations

    • L. Quartapelle
    Pages 1-11

  3. Nonprimitive variable formulations in 2D

    • L. Quartapelle
    Pages 13-74

  4. Nonprimitive variable formulations in 3D

    • L. Quartapelle
    Pages 75-123

  5. Vorticity—velocity representation

    • L. Quartapelle
    Pages 125-137

  6. Primitive variable formulation

    • L. Quartapelle
    Pages 139-164

  7. Evolutionary pressure—velocity equations

    • L. Quartapelle
    Pages 165-175

  8. Fractional-step projection method

    • L. Quartapelle
    Pages 177-207

  9. Incompressible Euler equations

    • L. Quartapelle
    Pages 209-242

  10. Back Matter

    Pages 243-292
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Dipartimento di Fisica, Politecnico di Milano, Milano, Italy

    L. Quartapelle

Bibliographic Information

  • Book Title: Numerical Solution of the Incompressible Navier-Stokes Equations

  • Authors: L. Quartapelle

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8579-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1993

  • Hardcover ISBN: 978-3-7643-2935-8Published: 01 September 1993

  • Softcover ISBN: 978-3-0348-9689-4Published: 11 October 2012

  • eBook ISBN: 978-3-0348-8579-9Published: 07 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XII, 292

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Publish with us

Policies and ethics

Back to top

Search

Navigation