Developing an Understanding of the Steps Involved in Solving Navier– Stokes Equations
| dc.contributor.author | Adair, Desmond | |
| dc.contributor.author | Jaeger, Martin | |
| dc.date.accessioned | 2016-02-19T08:37:17Z | |
| dc.date.available | 2016-02-19T08:37:17Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | This 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 code | ru_RU |
| dc.identifier.citation | Desmond Adair, Martin Jaeger; 2015; Developing an Understanding of the Steps Involved in Solving Navier– Stokes Equations; The Mathematica Journal | ru_RU |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/1296 | |
| dc.language.iso | en | ru_RU |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Navier– Stokes equations | ru_RU |
| dc.subject | Mathematica | ru_RU |
| dc.title | Developing an Understanding of the Steps Involved in Solving Navier– Stokes Equations | ru_RU |
| dc.type | Article | ru_RU |