But How DO Fluid Simulations Work?

Ғылым және технология

Fluid simulations. How on is it possible that a computer can recreate the crashing waves, the rolling clouds and the swirling smoke that we see in our daily lives, phenomena which seem characterized by randomness and chaos? This video will attempt to explain exactly how the mathematics behind fluid simulations work.
Timestamps:
00:00 Intro
00:42 Navier-Stokes Equations
02:38 Representation
04:52 Diffusion
07:53 Gauss-Seidel Method
09:36 Advection
11:31 Clearing Divergence
14:33 Outro
Paper referenced: Jos Stam - Real Time Fluid Dynamics for Games (2003)
www.autodesk.com/research/pub...
Music: Soft Piano Music by Relax Music Meditation
• Video

Пікірлер: 427

  • @cpkreuuuuu
    @cpkreuuuuu3 жыл бұрын

    I like your funny words magic man

  • @nimphilia

    @nimphilia

    3 жыл бұрын

    man

  • @AlxM96

    @AlxM96

    3 жыл бұрын

    😂😂😂 your comment cracked me up

  • @aissaelwadjih4785

    @aissaelwadjih4785

    3 жыл бұрын

    Dumb cant

  • @forbiddenera

    @forbiddenera

    3 жыл бұрын

    Says any competent programmer could do it..instantly loses me in math...been coding for 30 years..not the imposter I swear

  • @nimphilia

    @nimphilia

    3 жыл бұрын

    @@forbiddenera relatable

  • @josstam2217
    @josstam22172 жыл бұрын

    Nice video. Reminds me of my talks in the early 2000s. I also wrote a book about this. The Art of Fluid Animation. We also implemented this into the Maya software and has been used in blockbuster movies. We got a tech Academy Award for this in 2008.

  • @podemosllegara840anti-tikt7

    @podemosllegara840anti-tikt7

    2 жыл бұрын

    it advanced a lot since then

  • @HilbertXVI

    @HilbertXVI

    2 жыл бұрын

    @@podemosllegara840anti-tikt7 and?

  • @benmouginot3734

    @benmouginot3734

    2 жыл бұрын

    Maya in the 00's was the MVP, I remember booting the silicon graphics stations and play with it for hours.

  • @sandipanborthakur8637

    @sandipanborthakur8637

    2 жыл бұрын

    Amazing!!!

  • @Bentroen_

    @Bentroen_

    2 жыл бұрын

    Nice to see you here, Jos!!

  • @David-zy1lr
    @David-zy1lr3 жыл бұрын

    When I finished the video I expected it to have at least 100k views with how well made this is. You deserve many, many subs

  • @t4ky0n

    @t4ky0n

    2 жыл бұрын

    50 views away from 100k as im typing this

  • @David-zy1lr

    @David-zy1lr

    2 жыл бұрын

    @@t4ky0n hello fellow anarcho-troll-ist

  • @t4ky0n

    @t4ky0n

    2 жыл бұрын

    @@David-zy1lr YOOOOOO

  • @user-hv5tl2ij7o

    @user-hv5tl2ij7o

    2 жыл бұрын

    There is 100k views now

  • @Sebastian-rp9np

    @Sebastian-rp9np

    2 жыл бұрын

    check braintruffle bro

  • @thygrrr
    @thygrrr3 жыл бұрын

    Hey, I found this video via a Reddit post. This is really well-made, thank you!

  • @evank7858

    @evank7858

    3 жыл бұрын

    What sub?

  • @mastershooter64

    @mastershooter64

    3 жыл бұрын

    @Caleb Landry Wow you used a bot account to market some scam and reply to it using another bot account to make it seem reputable?? that's disgusting

  • @quantumgaming9180
    @quantumgaming91803 жыл бұрын

    Too bad I found about this video after I did the same thing. It took me over a year to understand the theory and algorithms behind Stam's papers, but you explained it in 15 minutes! Great video anyway!

  • @Gonkee

    @Gonkee

    3 жыл бұрын

    If it took you a year, I'm sure you won't forget it anytime soon! :)

  • @pinkyrng7104

    @pinkyrng7104

    2 жыл бұрын

    @@Gonkee I still have no clue how to program that. Have to watch the video 5 more times :D

  • @cory99998

    @cory99998

    2 жыл бұрын

    @@pinkyrng7104 just start one step at a time, try and get the basic system working so that you only need to learn one new concept at a time to eventually get it all working

  • @Polygarden

    @Polygarden

    2 жыл бұрын

    Same for me. But it's not an easy subject though and contains many different algorithms and approaches. I also skipped the lerp part, because on the GPU you are able interpolate between pixels by default, with the filtering step. Overall very detailed and well made video! It helps a lot of curious people.

  • @nullbeyondo

    @nullbeyondo

    Жыл бұрын

    ​@@pinkyrng7104 You're making it sounds complicated more than it is. You just look at the N solver equation and implement an N loop for it. I did it in 1 time watching the video and just rewinding it to where the equations are.

  • @rigtio8887
    @rigtio88873 жыл бұрын

    KZread just recommended this video to me. Hope you get picked up by the algorithm!

  • @makra2077
    @makra20773 жыл бұрын

    Man, I'm a Unity dev and KZreadr. I came here from reddit, when I saw the video I thought you had somewhat around 100k subs bro. Keep griding you'll easily reach there :) Good Luck!

  • @AkariInsko

    @AkariInsko

    3 жыл бұрын

    Gdrinding*

  • @makra2077

    @makra2077

    3 жыл бұрын

    @@AkariInsko *grainding

  • @lebaguette5393

    @lebaguette5393

    2 жыл бұрын

    @@makra2077 *grdinaining

  • @user-cw3nb8rc9e

    @user-cw3nb8rc9e

    Жыл бұрын

    Are "subs" so important to you? Who cares how many subs. The world is not only about money. Good is minority, stupidity is majority.

  • @makra2077

    @makra2077

    10 ай бұрын

    @@user-cw3nb8rc9e 110k now hehe

  • @dsi-films1264
    @dsi-films12643 жыл бұрын

    This channel is amazing! The quality of production this video has is incredible, keep up the great work!

  • @donovanholm
    @donovanholm3 жыл бұрын

    This is extremely high quality, well made and really drives my interest in modeling and simulations. Thank you

  • @niekvandam9427
    @niekvandam94273 жыл бұрын

    Great editing and informative video, you deserve a lot more acknowledgement for the quality you put out!

  • @user-nj1qc7uc9c
    @user-nj1qc7uc9c3 жыл бұрын

    Under a minute in and ive never been this excited to watch a video by someone ive never heard of before

  • @easyidle123

    @easyidle123

    3 жыл бұрын

    The craziest thing: this seems to be this guy's first video from what I can find

  • @sujals7108
    @sujals71083 жыл бұрын

    woah I just realised how less subs and views this guy has. This video deserves way more views with such good animation and narration.

  • @peksn
    @peksn3 жыл бұрын

    Wow! Awesome video, I always hated how science videos never went deep into how equations actually worked and how to implement/use them, but you did both! Thank you! Awesome video, subscribed and I hope to receive new notifications from you :)

  • @1982pwr
    @1982pwr3 жыл бұрын

    Great job with all the videos. The level is very good and the explanations are great. Most of all the topic/topics are a good niche - they're not some sort of basic tutorial, but they're not at an advanced academic level either discussing the details of the respective topics they cover. They're very much the type of stuff I'd love to see if I just want to get an actual technical introduction to something I've never thought about before.

  • @NozaOz
    @NozaOz3 жыл бұрын

    Hey, I recently changed from engineering at Uni to computer science/math, I’ve been feeling a little Gino because I miss physics concepts and understanding things, but this video reminded me that with math and computer science I can recreate all the sciences that lie between using mathematical models and programming skills. Thanks :)

  • @artoshia

    @artoshia

    3 жыл бұрын

    if you ever touch bits of game dev, its full of math/physics (a lot more than people realize), would totally recommend trying it out, the math is very interesting and visual.

  • @BlastinRope

    @BlastinRope

    2 жыл бұрын

    As a fellow cs student, a degree in cs is just tools that need to be applied to some other field, and physics is a fun and interactive one to program

  • @Steveplays28
    @Steveplays283 жыл бұрын

    Very nice video! I randomly came across your channel via my recommended lol I like the pacing and the animations a lot. Keep going!

  • @glace848
    @glace8487 ай бұрын

    thanks for this video man. with the help of this video, jos stams paper, a paper by nvidea and weeks of my life spent understanding everything i was able to implement jos stams fluid simulation, while understanding all the processes involved in it. your visualizations we're really valuable in the way they helped me visually grasp everything.

  • @hassanahmadsheikh5130
    @hassanahmadsheikh5130 Жыл бұрын

    if not the best than one of the best ever youtube explanaion here of CFD.... Did't knew it was so easy to understand the CFD.... Appriciated mate

  • @ZeroPlayerGame
    @ZeroPlayerGame3 жыл бұрын

    Really nice video, despite having read several papers about fluidsim recently, I still feel like I walked away with a clearer understanding of the fundamental implementation details.

  • @hakamabedmohammed6497
    @hakamabedmohammed64972 жыл бұрын

    Very happy to find a kind of beautiful genuine, well understand concept channel.

  • @mr_rowboto
    @mr_rowboto2 жыл бұрын

    Excellent presentation dude. Insta-subscribed. A couple of weeks ago I simulated a boat by voxelizing it and using buoyancy and drag laws, then I wanted to simulate a fluid next... and found your channel. This is pure gold.

  • @duret-robertlouis2973
    @duret-robertlouis29733 жыл бұрын

    Your video is really well made ! The animations, the pace, the narration, the music, everything looks like a professionnal channel with many thousands of followers. Keep up the great work ! I can't wait to see more videos from you

  • @NotTofuFood
    @NotTofuFood3 жыл бұрын

    Wow! Can not believe you have this little subs. Fantastic video and you have inspired me to give fluid simulation a try.

  • @melody3741
    @melody37413 жыл бұрын

    Finally, I’ve been looking all over for information on health physics simulations in general work but literally every single one just tells you to get a library and doesn’t actually go over the math. Thank you for making this video

  • @parthsavyasachi9348

    @parthsavyasachi9348

    3 жыл бұрын

    This video doesnt even come close to what really happens. Btw the book that has complete navier stokes solver as used in industry is by milovan peric. Google cfd and peric.

  • @Oscar-vs5yw
    @Oscar-vs5yw Жыл бұрын

    Your explanations for these very complex are amazing

  • @rdasher7747
    @rdasher77473 жыл бұрын

    This is such a great video, I probably won't be making fluid simulations, but I really enjoyed that

  • @J2000Ray
    @J2000Ray3 жыл бұрын

    This is awesome. Thank you for making this.

  • @mikeohc
    @mikeohc3 жыл бұрын

    Came across your video from YT algorithm. It's really well-made! Subbed

  • @CandianWorkbench
    @CandianWorkbench3 жыл бұрын

    This channel is gonna blow past 1M subs if videos like these keep getting posted

  • @maddieLund
    @maddieLund3 жыл бұрын

    This kind of stuff if the stuff I want to make more of but don't know how. You just earned a sub :) keep up the good work and make more!! Things like this are hard to learn on your own but things like this make it possible. Thanks.

  • @bastelfreund
    @bastelfreund3 жыл бұрын

    Awesome stuff, I came from reddit and i really like the quality of your video keep it up.

  • @anthonywelsh1496
    @anthonywelsh14962 жыл бұрын

    I'm a CS student and I have a critical paper review to write on Stam's Real Time Fluid Dynamics for Games paper, your video really explained fluid simulations well! Also realised I'm already subbed to your channel from your sound synthesis video I used to understand the concept for a personal project implementing a sound synth in C++ from last year. Cheers!

  • @minetech4898
    @minetech48983 жыл бұрын

    This is an amazing video with great information which I will promptly use in about 20 years.

  • @prafulsrivastava7684
    @prafulsrivastava76842 жыл бұрын

    Exactly what I was looking for! Thanks man!

  • @kerch00
    @kerch002 жыл бұрын

    You explain Jos Stam's code and theory extremely well

  • @bigmistqke
    @bigmistqke3 жыл бұрын

    Great video! That was really insightful

  • @leonstansfield
    @leonstansfield3 жыл бұрын

    video got reccomended to me! it was really good. I hope you hit algorithm gold with this one.

  • @_notch
    @_notch3 жыл бұрын

    Great video! The part about subtracting the divergence was especially fascinating. Having never implemented any actual fluid dynamics, I sort of assumed you'd rely on the density to pull and push to even it out, close your eyes, and hope you don't have any rounding errors.

  • @DragonFoxStudios
    @DragonFoxStudios3 жыл бұрын

    Amazing! Amazing source for research!

  • @aditya_a
    @aditya_a10 ай бұрын

    Cool video! (U got that Jos Stam reply, epicccc.)

  • @aesthetikun3704
    @aesthetikun37042 жыл бұрын

    I loved on how this video was crafted, and your other videos too, like legit, you somehow exploit most of human senses to really impart a rather complex idea to someone brain in a really engaging way. It would be highly appreciated if you can make a video or any other form of guidance detailing on how this video is produced, like how you do your research, what tools, to do the research, the video editing software or even the content brainstorming management. I'm so sorry if this is too much to ask for but you would really help me or maybe others in communicating our own ideas or any other complex ideas to the layman. Again, your videos are already on the top notch category and you'll definitely reach a bigger audience and prospects in no time!!

  • @guitaek4100
    @guitaek41003 жыл бұрын

    This is really easy. Thanks for the good explanation and the paper.

  • @rohanasokan7338
    @rohanasokan73383 жыл бұрын

    Honestly, the best content. I dont understand why youtube didn't put this high up on the search results when I was searching for something similar a week back - all I got was shitty lectures and some other crap. Keep going @Inspecto.

  • @nnesseth
    @nnesseth3 жыл бұрын

    Great video, looking forward to more.

  • @nin10dorox
    @nin10dorox3 жыл бұрын

    Thank you, this demystified it a lot!

  • @evanlane1690
    @evanlane16909 ай бұрын

    Duuude! 11:59 is something I've been trying to wrap my head around for ages. Thanks!

  • @monsieur910
    @monsieur9103 жыл бұрын

    great video! Can't wait for the next

  • @edacoose6969
    @edacoose69693 жыл бұрын

    Super informative video, really aided my understanding - thanks very much!!

  • @gregor-alic
    @gregor-alic3 жыл бұрын

    I read the same paper before I watched this video and I must say this video is amazing

  • @abgekippt
    @abgekippt Жыл бұрын

    Very good video! Exactly what I was searching for 👍👍👍

  • @BehradDavoudi
    @BehradDavoudi3 жыл бұрын

    very very well made and informative video. thank you!

  • @rishichudasama3435
    @rishichudasama34353 жыл бұрын

    I can’t believe people can actually understand this stuff. Great job man, this is amazing stuff. I just subscribed

  • @jaredjones6570

    @jaredjones6570

    2 жыл бұрын

    It wasn't that hard to follow. The hardest part was actually the lerp for density redistributions. The rest was purely vector calculus and was nothing new.

  • @targetmhk269
    @targetmhk2693 жыл бұрын

    This was extremely helpful and well made video.

  • @shaladddin5687
    @shaladddin56873 жыл бұрын

    Keep it going man, your content is really great. I believe your channel will grow really well. +1 subscriber

  • @quantumcookie64
    @quantumcookie643 жыл бұрын

    Really great explanation, thank you!

  • @12321dantheman
    @12321dantheman Жыл бұрын

    Thanks for this, I was able to make my own using it. I'd looked at other explanations but this was the best, especially for the part about clearing divergence

  • @nighteule
    @nighteule3 жыл бұрын

    I just found this channel today. Quite underrated :)

  • @vuubi1
    @vuubi13 жыл бұрын

    Algorithm brought me here and you got me super interested in Fluid Simulations, extremely well-made video and I'm also leaving this comment to help the algorithm pick up your video for engagement!

  • @timothygao9442
    @timothygao9442 Жыл бұрын

    Slight correction on the diffusion step, the equation according to original paper is x0[IX(i,j)] = x[IX(i,j)] - a*(x[IX(i-1,j)]+x[IX(i+1,j)]+x[IX(i,j-1)]+x[IX(i,j+1)] -4*x[IX(i,j)]), which would be d_n = d_c + k (s_c - 4 * d_c). Without doing 4 * d_c, the amount donated to the 4 surrounding cells would only be subtracted once from the original, resulting in a net increase in density/velocity from nowhere and breaking conservation of mass. Additionally, I believe the equation d_n = d_c + k (s_c - 4 * d_c) explains why its necessary to diffuse density reverse in time, because it blows up under certain scenarios, resulting in negative values. An example is if you have a really high value cell (say 100) surrounded by really small value cells (say 1). Let K=1. On the next iteration, the high value cell will have -396. While having negative velocity possible, having "negative density" is not and will cause the simulation to blow up.

  • @trietch
    @trietch3 жыл бұрын

    Thank you for this video, it really helped me :)

  • @ivanperezavellaneda4031
    @ivanperezavellaneda40313 жыл бұрын

    Jus what I was looking for! thanks

  • @ceylaneray
    @ceylaneray3 жыл бұрын

    Great explanation for this topic.. simply intellegence Thank you!

  • @jonohiggs
    @jonohiggs3 жыл бұрын

    Probably the best explanation I have seen on the topic. Please can you do another one on the advanced topics

  • @maybenat
    @maybenat3 жыл бұрын

    Great explanation, nice job ^^

  • @fckndrummczinz
    @fckndrummczinz Жыл бұрын

    beautiful, amazing. thank you

  • @XanderGouws
    @XanderGouws3 жыл бұрын

    Phenomenal. Amazing video.

  • @sebastiangudino9377
    @sebastiangudino93773 жыл бұрын

    You are the 3B1B of computers. You are going to get reeealy big eventualy. And i will love to say that i was here while you only had 4 videos and not even 10k subs. Thanks for the absolutely top notch content

  • @DGHere12
    @DGHere122 жыл бұрын

    this was best explained, I saw many but I was not able to understand the simulation, thx for tutorial

  • @snowcrashshaftoe
    @snowcrashshaftoe2 жыл бұрын

    this channel deserve a lot more subs!!

  • @HarhaMedia
    @HarhaMedia3 жыл бұрын

    Very cool explanation, thanks!

  • @alexrobbins2288
    @alexrobbins22883 жыл бұрын

    Attempting to make my own fluid sim right now and this is extremely helpful!

  • @lizardbeeboy
    @lizardbeeboy3 жыл бұрын

    I don't know why youtube has been recommending me some really interesting videos lately but I like it

  • @ishdx9374
    @ishdx93743 жыл бұрын

    this is a hidden gem of a channel

  • @rickyspanish4792
    @rickyspanish47923 жыл бұрын

    quality content! good job, very helpful

  • @AkariInsko

    @AkariInsko

    3 жыл бұрын

    LieAr

  • @super_sayf
    @super_sayf3 жыл бұрын

    I thought you had 800k subs until I looked at the comments. This is next level, well done

  • @MrSeppii
    @MrSeppii3 жыл бұрын

    Really well made Video and you manage to get to the point of the subject. Can you do something like structural simulation next?

  • @HubsterPL
    @HubsterPL3 жыл бұрын

    You are amazing, I don't remember ever clikcing the bell button, but today I did.

  • @PFnove
    @PFnoveАй бұрын

    i will need to rewatch this a couple times but it's extremely interesting

  • @jaashiik
    @jaashiik3 жыл бұрын

    Seriously fantastic content, thank you for answering the very question I have been asking the past few weeks - just how on earth do computers simulate the chaotic motion of fluids ?? Subscribed

  • @levitycreations
    @levitycreations2 жыл бұрын

    This was a great video! Could you do a secondary follow up video covering the topics mentioned at the end of the video ! That would be amazing!

  • @thianesh9097
    @thianesh90972 жыл бұрын

    WOW! Well made.. Nailed it👌

  • @Daverinoe
    @Daverinoe3 жыл бұрын

    So I've just recently started on a computational fluid dynamics journey myself, so I was Stokes-d (sorry) to see your video! I love this video, and am really looking forward to your next ones! I often struggle with the disconnect between math on the page, and code on the screen, and learn best by having examples to pick apart. So, will you be planning to have some comprehension implementation / code videos?

  • @TheJosephStalin420
    @TheJosephStalin4203 жыл бұрын

    So that's where the advance mathematics and CFD equations come to play in real life! Also I thought I'd never be seeing those iterative equation solving methods. You've no idea what this video is to an enthusiastic mechanical engineer! Thanks alot!

  • @AJ-et3vf
    @AJ-et3vf Жыл бұрын

    Awesome video! Thank you!

  • @strangeWaters
    @strangeWaters3 жыл бұрын

    ive always been mystified by navier stokes so super looking forward to watching this series

  • @abhishek.chakraborty
    @abhishek.chakraborty3 жыл бұрын

    Wow ! Really well made and educational 👏🏻👏🏻 subscribed to your channel 👍🏼 However, I can't help but wonder using what softwares was this made 🤔🤓

  • @evanburrows
    @evanburrows3 жыл бұрын

    Awesome explanation! Thanks

  • @aleksanderbaszkiewicz536
    @aleksanderbaszkiewicz5363 жыл бұрын

    I like how you explained such complicated thing in quite simple words. The video is very well made. Keep it up.

  • @axelBr1
    @axelBr1 Жыл бұрын

    Fantastic video. As a Chemical Engineer I've seen lots of references to CFD studies, and always wanted to implement my own CFD and Finite Element (for heat transfer problems) solver. One thing that is freaking me out is the casual treatment of density, i.e. just using a few equations to move density around. It feels wrong as density is the result of temperature and mass of material within a certain volume. I guess k is dependent on all those properties, but converting those properties to a number seems a bit magical / "ignore the man behind the curtain" type of thing. But then again I suck at maths, as I said an engineer not a scientist. The advice to calculate dn with a hyperbolic function will be really helpful for me in my mathematical journey. Thanks!

  • @magneat
    @magneat3 жыл бұрын

    Dude, thank you so much!

  • @mysteryfacebookgirl
    @mysteryfacebookgirl2 жыл бұрын

    Wow! This is an incredible video.

  • @rexygama7697
    @rexygama76973 жыл бұрын

    This channel is severely underrated

  • @alejotassile6441
    @alejotassile64413 жыл бұрын

    This is so beautiful!

  • @kjeldje12345678910
    @kjeldje123456789103 жыл бұрын

    Assuming that the divergence is 0 is indeed valid in most cases. This is based on the assumption that the fluid is incompressible. However with compressible flows one should use the continuity equation which allows you to solve it. But great video!

  • @AndrewPa
    @AndrewPa7 ай бұрын

    well done - good presentation

  • @deathTurgenev
    @deathTurgenev2 жыл бұрын

    Great stuff, thank you

  • @rayyan21d
    @rayyan21d2 жыл бұрын

    This work is underrated!

  • @Michallote
    @Michallote2 жыл бұрын

    Whoa man, awesome job your channel is going big soon enough just keep doing quality content like this! How do you recommend me start implementing this for my very first fluid simulation? My main issue is just where to start for making the graphics and data structures for the grid and display of vectors. Which programming paradigm is best for this kind of endeavour?

  • @pixboi
    @pixboi3 жыл бұрын

    Great video, earned yourself another subscriber

  • @iankelley9302
    @iankelley93023 жыл бұрын

    Incredible video! Needs more views! I feel like with a few more years of learning math (I'm in Algebra 2) I could program my own fluid sim!

  • @erickuhn1042

    @erickuhn1042

    2 жыл бұрын

    Absolutely! I just graduated with a mechanical engineering degree. The knowledge I gained from math and fluid physics made programming my own fluid sim relatively easy.

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