Solution of the Navier–Stokes Equations: Part 1

  • Joel H. Ferziger
  • Milovan PerićEmail author
  • Robert L. Street


The additional complexity of the Navier–Stokes equations and special features for incompressible flows are considered in this chapter and the next; here we cover basic issues, the features of the equations, and the methods of solution. The staggered and collocated variable arrangements, the pressure equation, and the pressure-velocity coupling for incompressible flows using the fractional-step and SIMPLE algorithms are described in detail. Other approaches (the PISO algorithm, streamfunction-vorticity, and artificial compressibility) are also briefly described. The initial and boundary conditions for the Navier–Stokes equations and their implementation on Cartesian grids are also covered.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Joel H. Ferziger
    • 1
  • Milovan Perić
    • 2
    Email author
  • Robert L. Street
    • 3
  1. 1.Department of Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.University of Duisburg-EssenDuisburgGermany
  3. 3.Department of Civil and Environmental EngineeringStanford UniversityStanfordUSA

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