# Solution for transient Navier Stokes

**URL:** <https://community.freefem.org/t/solution-for-transient-navier-stokes/4072>\
**Category:** General Discussion\
**Created:** [September 19, 2025, 12:11am UTC](https://community.freefem.org/t/solution-for-transient-navier-stokes/4072 "2025-09-19T00:11:59Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![lipesantosa](https://avatars.discourse-cdn.com/v4/letter/l/71c47a/32.png) [@lipesantosa](https://community.freefem.org/u/lipesantosa)\
**Post date:** [September 19, 2025, 12:11am UTC](https://community.freefem.org/t/solution-for-transient-navier-stokes/4072/1 "2025-09-19T00:11:59Z")

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Hello, evereone! I would like to know if anyone knows of any paper with data and a solution for transient Navier Stokes.

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**Author:** ![fb77](https://yyz2.discourse-cdn.com/flex030/user_avatar/community.freefem.org/fb77/32/3796_2.png) [@fb77](https://community.freefem.org/u/fb77)\
**Post date:** [September 19, 2025, 2:08pm UTC](https://community.freefem.org/t/solution-for-transient-navier-stokes/4072/2 "2025-09-19T14:08:10Z")

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Hello Felipe,  
For transient incompressible Navier-Stokes, a basic test is the Taylor-Green vortex  
[https://perso.math.u-pem.fr/bouchut.francois/publications/vectorBGKNS.pdf](https://perso.math.u-pem.fr/bouchut.francois/publications/vectorBGKNS.pdf)  
p. 27  
It has vanishing right-hand side but nontrivial analytic solution with periodic boundary conditions.