Adair, DesmondJaeger, Martin2016-02-192016-02-192015Desmond Adair, Martin Jaeger; 2015; Developing an Understanding of the Steps Involved in Solving Navier– Stokes Equations; The Mathematica Journalhttp://nur.nu.edu.kz/handle/123456789/1296This article describes how Mathematica can be used to develop an understanding of the basic steps involved in solving Navier– Stokes equations using a finite-volume approach for incompressible steady-state flow. The main aim is to let students follow from a mathematical description of a given problem through to the method of solution in a transparent way. The wellknown “driven cavity” problem is used as the problem for testing the coding, and the Navier–Stokes equations are solved in vorticity-streamfunction form. Building on what the students were familiar with from a previous course, the solution algorithm for the vorticity-streamfunction equations chosen was a relaxation procedure. However, this approach converges very slowly, so another method using matrix and linear algebra concepts was also introduced to emphasize the need for efficient and optimized codeenAttribution-NonCommercial-ShareAlike 3.0 United StatesNavier– Stokes equationsMathematicaArticle