Solution of the Navier–Stokes Equations: Part 2

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


In this chapter, we cover the implementation details for some commonly used methods for solving the Navier–Stokes equations, and examples of their application are presented. The implicit iterative solution methods for the equations, based on both staggered and collocated variable arrangement on Cartesian grids, are described in sufficient detail to enable writing of a computer code; such codes are available from the book web-site ( Non-iterative implicit methods for unsteady flows are also explained in detail. Finally, some illustrative examples of steady and unsteady laminar flows, computed using provided codes based on the fractional-step and SIMPLE algorithm, are presented and discussed, including evaluation of iteration and discretization errors.

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© 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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