Real-time Eulerian fluid simulation on a Macbook Air, using GPU shaders

In order to implement fluid simulation we need to implement conservation of mass, incompressibility, and conservation of momentum. How to do this, using Eulerian cell representation, on GPU shaders?

[@samaltschul4605]

Hugh, the standard first book on PDE is Walter Strauss's book. If you want to try questions on me I'm happy to help out.

[@santiagobirkenstock]

I wish the very best on UA-cam, I am so glad I discovered your channel. Keep up the good work !

[@Cmanorange]

very good video. i'm glad you showed or mentioned what approaches didn't work

[@justinsciullo3342]

This is so cool, and you did a great job with the video editing! I hope you make more videos like this!

[@rlhugh]

Thank you! That's very kind to say. Very much appreciated :)

[@benjaminlehmann]

I loved this video! Really inspiring, and I'm sort of amazed that this was running on a macbook air too - great job :D Thanks so much for sharing.

[@rlhugh]

Thank you very much!

[@hyperFixationStudios]

Great work, I can't wait to see your next simulations!

[@PAPERSCHOOL]

Really well produced, nice work

[@tommycard4569]

educational and entertaining! loved it, thank you

[@rlhugh]

Thank you!

[@HitAndMissLab]

Thanks for the beautiful video.

[@Theo-iz5cj]

Great and inspiring video, thanks a lot!

[@saadahmed688]

Subbing cause I wanna see you simulate the inside of Earth. Great content

[@CalcWithDec]

Beautiful!

[@tahmidchoudhury8946]

Got recommended.....now in love

[@Kyler1Ace]

Great video

[@Tordek]

regarding the parallel part: would it be feasible to work the opposite way? Instead of writing to 4 cells, each cell would instead read from 4 neighbors and update itself.

[@josiahjoel7580]

this is so cool, is it possible to upload the source code to a public repo?

[@drpwnage23]

This is really cool. Do you have a github repo available for this?

[@rlhugh]

I probably should do that yeah...

[@redstoneready697]

do you think this could be used for electromagetics?

[@rlhugh]

Interesting question!

[@YaofuZhou]

Depending on what you want. I guess you want to iteratively compute the EM fields?

[@kwccoin3115]

How do you run these shader ? Can it use under sdl2?

[@rlhugh]

These are running in Unity, using HLSL.

[@tomd6410]

Love this but if that’s how you say Euler I’ve been saying it wrong all this time 💀💀

[@rlhugh]

I did research the pronunciation. There are a couple of ways. Before I researched the pronunciation, I was saying "you lurr Ian". But "oiler Ian" appeared to be more common, as far as I could see? How are you thinking if should be pronounced?

[@tomd6410]

@@rlhugh I’ve been saying youll-lah 😅

[@rlhugh]

@@tomd6410 actuuaaalllyyy seems that it might depend on us vs UK pronunciation, eg see youglish.com/pronounce/eulerian/english/uk

[@unepintade]

​@@tomd6410i feel like "name"-ian in English are pronounced very differently from how you pronounce the name so while Euler is pronounced weirdly, eulerian is pronounced how you would expect, like Laplace and Laplacian

[@Leviathan_22]

"shaders are fun" consider me an opp

[@rlhugh]

Haha :)