I know these types of questions don't have definitive answers, but I need some assistance. I would like to do some numerical experiments (preferably in python, but any language is fine) for my thesis involving a stochastic Navier Stokes system, but I really don't know where to begin. I've found a lot of sources (with code) for the deterministic equations, but I'm mostly just finding theoretical papers on the stochastic version.

Essentially, I need to numerically estimate the probability of some events which involve the solution to the Stochastic NSE. As such, I’d need to numerical solve them.

I wouldn't mind writing the code myself of course, but all the papers I find seem "cutting edge" which I'm currently not too interested in; perhaps after I get acquainted with the basics.

If there's any standard source on this material, please let me know.

  • $\begingroup$ You might be better off asking this on scicomp stackexchange. $\endgroup$
    – mattos
    Jul 2 '19 at 5:18
  • $\begingroup$ Also, someone has done a dissertation on it here. $\endgroup$
    – mattos
    Jul 2 '19 at 5:27

There is the book `An introduction to computational stochastic PDEs' by Lord, Powell and Shardlow. It discusses all the basics on how to simulate stochastic PDEs, including examples with the (2d) Navier-Stokes equations. On Gabriel Lord's website, all the codes from the book are available to download.


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