Numerical Solution of the Incompressible Navier-Stokes Equations

  • L. Quartapelle

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. L. Quartapelle
    Pages 13-74
  3. L. Quartapelle
    Pages 75-123
  4. L. Quartapelle
    Pages 125-137
  5. L. Quartapelle
    Pages 139-164
  6. L. Quartapelle
    Pages 165-175
  7. L. Quartapelle
    Pages 177-207
  8. L. Quartapelle
    Pages 209-242
  9. Back Matter
    Pages 243-292

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 A substantial portion of the book contains new results and unpublished material.


Navier-Stokes equation computational fluid dynamics evolution fluid dynamics fluid mechanics numerical methods

Authors and affiliations

  • L. Quartapelle
    • 1
  1. 1.Dipartimento di FisicaPolitecnico di MilanoMilanoItaly

Bibliographic information