Outstanding educational masterpiece. There is nothing at this quality level as far as I know.
@braintruffle
3 жыл бұрын
I'm very happy you like it! Thank you a lot for your kind words!
@nou4898
2 жыл бұрын
👍 69 👎 *REPLY*
@kingfisher1638
2 жыл бұрын
@@braintruffle Honestly, you have compressed tens of thousands of dollars worth of education into 2 magnificent videos. This format is the future of education and you sir are a pioneer.
@braintruffle
2 жыл бұрын
@King Fisher Thank you so much for your appreciation. I'm so happy that you consider it so valuable :)
@tonysamaritano3417
2 жыл бұрын
I agree
@ScienceClicEN
2 жыл бұрын
Amazing quality here, really looking forward for the next episodes!
@braintruffle
2 жыл бұрын
Thank you very much, I am honored! :) With your excellent content you know only too well how much time it takes.
@eheadj5712
2 жыл бұрын
@@braintruffle We are patient!! Thank you so much for these thrillingly great videos..
@apmox21
2 жыл бұрын
The only thing I could think while following your explanations is "outstanding" and "jaw-dropping". I wish I had someone like you while I was studying fluids for the first time. With this quality of work, you will definitely find an appreciative audience, and I am part of them. I feel lucky to have found you and I sent your videos to all my friends interested in this topic, bravo.
@braintruffle
2 жыл бұрын
I am very grateful for your appreciation. It really means a lot to me, thank you! And also thank you for your support by sharing this video. :)
@EggCess
2 жыл бұрын
RIP little blue particle :') The previous video already earned my instant subscription after a few minutes, and I had to leave some kind of comment here, to stress how amazing your content is. This is how educational videos should be: Well-animated, well-explained, interesting and conveying information, ideas, and concepts through shifting perspectives and superb abstraction. Please keep going, your videos are amazing.
@braintruffle
2 жыл бұрын
Haha, the molecule truffle just always does what he wants :D I'm glad you watched this part to the end, it all became a bit longer than expected!
@SimulatingPhysics
3 жыл бұрын
Outstanding work. The waiting time was for creating this, of course, has been worth it. I'm going to be sure this reach more people by sharing it with people I know that appreciate a lot this kind of work. I wonder, what is your background, and what motivates you to produce in these videos such a high level of quality?
@braintruffle
3 жыл бұрын
I really got to thank you for your motivating words! I am very happy that you like it and seeing your videos is a pleasure as well! You clearly have a sound theoretical background. I remember watching your wave function videos as an additional source of verification in preparation to my first video! Excellent visualizations. My background resides in non-linear dynamics, but pretty much everything that moves catches my attention. Since my studies, I just loved building my own simulations that really helped me understanding what is going on. My goal here is to share this experience of understanding by playing with simulations.
@nou5440
2 жыл бұрын
69th like
@brunoritter5984
2 жыл бұрын
@braintruffle simulating to understand is such a powerful idea. I'm just about to start my physics formal study, and I learned SO MUCH from the videos. It helped me to really understand a ton of other content that I've consumed during the last year. Lots of them left me with a taste of "I need a degree to really get it", but apparently I just needed to watch your work. Thank you and congrats.
@DonBurnette
2 жыл бұрын
Is there any way to open source some or all of the code used to generate these simulations? This is incredibly educational, and I'd love to play around with and try to understand the code behind it! Thank you so much for doing this, it's absolutely world class content.
@loukitmyname
3 жыл бұрын
Awesome. As someone who has been studying continuum mechanics for a few years, it is good know the approximations behind the continuum perspective.
@braintruffle
3 жыл бұрын
Thank you! :-)
@33NANO33
3 жыл бұрын
Wow, I have attended lectures on CFD before, but this series is an absolute eye opener. I don't think I have ever watched a video where I gained so many new perspectives per time. This video is just filled to the brim with it.
@braintruffle
3 жыл бұрын
I'm very happy you like the overall approach and hope you like the upcoming parts as well! Thank you very much :-)
@tannr
2 жыл бұрын
As an aero student currently taking a CFD class this is insane. I can't wait for you to go over boundary layers, that's gonna be fun.
@tmh1759
2 жыл бұрын
Absolutely amazing. This series may be one of the highest form of human contribution. The intelligence, the knowledge, the ability to describe, the skills to put this series together with such amazing visuals, the patience, the willingness to share and work so hard at it, all add up to something magical.
@ITomocska
2 жыл бұрын
Why doesn't this masterpiece have hundreds of thousands of views yet
@natureandpeace3364
5 ай бұрын
The depth of the content is next level, presentation quality is outstanding , just wooow
@acidbase87
2 жыл бұрын
I now somehow feel guilty that I watched it for free, so outstanding and amazing it is :) It deserves millions of views!
@skep2825
3 жыл бұрын
Amazing work, very much looking forward to the next part!
@braintruffle
3 жыл бұрын
Thank you very much :-)
@imagiro1
2 жыл бұрын
Looks like Sheldon and Amy actually _do_ have a child... Never mind, just a comment for the algorithm.
@mateuszbugaj799
2 жыл бұрын
Amazing video! This comment is nothing new. Only to boost engagement.
@phonix6494
3 жыл бұрын
Wow, I am doing Fluid and Smoke simulations in Houdini and your videos really give me a more easily graspable insight into how everything works. Thank you for putting all this hard work out on the Internet :) May I ask what tools you use for these Videos? Manim combined with 3d renders?
@braintruffle
3 жыл бұрын
I'm happy to hear that you find the videos a little bit helpful. Thank you very much! For simulations and the visualization I use my own code, it's just simpler than adding an additional component to my workflow. For the 3D truffle stuff I use blender.
@RafmagCabrera
2 жыл бұрын
@@braintruffle Out of curiosity, what language did you use to program your simulations? which library are you using for the visualizations?
@ongzz
2 жыл бұрын
oh my god the production quality is off the charts, subscribed instantly!
@mennolubbers9196
2 жыл бұрын
The quality of this video in both conveying the information as well as the visual esthetics is excellent. Thank you.
@MM-vs6ve
3 жыл бұрын
This video is simply amazing, thank you very much for your work :)
@braintruffle
3 жыл бұрын
I'm glad you like the approach here. Thank you very much!
@andrewbetz535
2 жыл бұрын
How does one become so educated?
@Thefreakyfreek
4 ай бұрын
Intrest
@smolboyi
14 күн бұрын
best comment 😂
@Karlswebb
7 ай бұрын
This is a masterpiece of educational youtube videos. It is genuinely so much better than anything else that is on this platform
@shreyaskashyap5769
2 жыл бұрын
This is an amazing series! Is there any way that we can support you by paying monthly (e.g., Patreon, Ko-Fi)?
@braintruffle
2 жыл бұрын
Wow, thank you for considering it worthy even more support. I'm setting up a way for such support very soon. Thank you so much! :)
@s1l3nttt
3 жыл бұрын
Daym bro, gonna help me a heck ton on my sim
@phitsf5475
2 жыл бұрын
Incredible. Both your presentation and how deeply rigorous the physics is required for underpinning quality fluid simulations
@miropalmu5588
3 жыл бұрын
Im a physics student and I minos in cs. Im excited for the next videos because this makes me want to code my own fluid simulator
@OutbackCatgirl
2 жыл бұрын
I must admit, your vocal cadence is a *surprisingly comforting* sleep aid. While my first watch of each video was out of curiosity and interest in the topic and on those merits alone these are brilliant videos, I gotta say that this series is also supremely relaxing and calming, which is very commendable. Hell, I can and have meditated to this, which is a rare quality for a video that isn't specifically designed to be used for meditation or white noise. I've watched each a good dozen or so times so far. Genuinely, thank you for deciding on this format as your presenting style. It helped me understand more of the topic than I expected in decent detail but has also helped me overcome my insomnia on bad nights.
@thewireninja
2 жыл бұрын
I just finished both videos on the channel so far. As I was watching, I had in my mind "Okay, this is a new amazing channel of someone who's been making science videos for many years." When I looked though, you don't have any other channels linked! This can't honestly be your first work!? This is incredibly good. If you have other work please link it so I can enjoy that as well.
@braintruffle
2 жыл бұрын
I'm so happy you want more. These here are my first videos ever, but I'm working hard on new content. I hope to see you then! :)
@thewireninja
2 жыл бұрын
@@braintruffle 👏 Well done. I'll be here.
@nickst2797
2 жыл бұрын
Gotta thank youtube reccomendations for finding your channel. Havent seen your vids so far (will do so later). In case you haven't answered this, in what language are you going to program your Fluid Simulator?
@braintruffle
2 жыл бұрын
The focus is more on which equation to use and understanding the underlying assumptions. Although implementation is necessary, the conceptual side is more the goal here. Thank you!
@DGSEM
2 жыл бұрын
Deine Videos sind wirklich gut gemacht. Falls du für die Zukunft Input oder Material brauchst, können wir uns gerne auch mal austauschen. Wie du bin ich süchtig danach meine eigenen Tools für solche Sachen zu schreiben. Du bekommst zumindest mal ein Abo von mir. 👍
@braintruffle
2 жыл бұрын
[Your videos are really well done. If you need any input or material for the future, we can exchange ideas. Like you, I'm addicted to writing my own tools for stuff like this.] Thank you a lot! You got some really cool simulations on you channel, too. I like that you code you own simulations, this helps a lot in terms of understanding.
@a.e6328
2 жыл бұрын
This is absolutely awesome, I've never seen anything that comes close to this quality. Please create a patreon account.
@evceteri
3 жыл бұрын
I know is not much but your last video made me start taking thermodynamics seriously! I want to know more about fluids and I figured that was a place to start.
@braintruffle
3 жыл бұрын
Wow, it's great to hear that it could help a little bit in guiding your interest and I hope you have fun starting your journey in that direction.
@DustConstruct
2 жыл бұрын
I almost can't believe how great the quality of this series is. Education of this level, it is so fascinating and visually it is beautiful. I'm left here only able to hope it won't be too long before the next video comes out. Thank you!
@starrmont4981
3 ай бұрын
Unfortunately, the neurochemical intricacies of my brain's response to your video are too computationally complex to communicate, so I'll have to reduce the information down to a few words: Great work!
@-BuddyGuy
2 жыл бұрын
I studied mechanical engineering and it was essentially HERE IS THE DERIVATION OF THE NAVIER STOKES EQUATIONS LEARN THIS DERIVATION. And the CFD class was HERE IS SOME CFD SOFTWARE BUILD A SHITTY CAR AND RUN THE MODEL. I feel like this may be a more comprehensive approach
@jaredjones6570
2 жыл бұрын
This is utterly amazing! I'm so glad that I found your channel! Really, I can't tell you how motivational this is!
@braintruffle
2 жыл бұрын
I'm so glad it motivates you! Enjoy every step of building your simulations :)
@JustAPersonalUseBarb
2 жыл бұрын
Awesome stuff, man
@hmshahparan3088
Жыл бұрын
Hello Sir, I am very curious to know about your educational background. How did you learn this thing with such e deeper level! This is mind blowing.
@AeroconX
3 жыл бұрын
You’re a legend. Thank you
@braintruffle
3 жыл бұрын
Thank you!
@randomrant3886
10 ай бұрын
I realize that this video is made to be independent of a specific computation/programming environment. But what do you use? Python maybe? Personally I find using python is good whether on windows or linux derived systems. Just curious. I have a feeling seeing some of what you are doing here expressed almost udemy style would encourage more people to get into this. I especially liked your last video and have been using your methods (more or less) in applications that have more to do with fields than particles for radio frequency prediction. Neat stuff. I know it sounds stupid but sometimes the simplest things are best expressed as an exercise or attempt. For example I did not know that the changes in basic loops and limitations for some of my earlier work even was calculus. The math just kindof expressed itself. But once people start to use the things that take a long while to master with immediate benefit/learning opportunities it becomes evident that most people are more able to drive themselves further than, I believe, they realize. Maybe there is a udemy course I can suggest to some of my coworkers
@WilliumBobCole
2 жыл бұрын
Judging by the gap between the last video and this one, I'm assuming it will be a while before the series is complete, which is sad (but acceptable, please do not feel pressured by me or anyone else), because of how great they are. I was going to ask about/suggest/request a few things, but I have a sneaking suspicion you have already thought of at least some of them and that they are coming, since at the start of this video I was wondering if you were going to cover conservation of energy, ie the "temperature" of the system (IDK why I put quotes, it literally IS temperature lol), and you indeed did cover that in your macroscopic equations. I am just really excited and interested to see this kind of thing running in real-time, specifically for games, although digital toys are cool on their own too. So just in case you weren't planning to cover these but are willing to, I would like to see: -This but in 3D. It seems trivial tbh, it's just another dimension to the equations as far as I can tell, so it would be a 3D array of values for mass flow pressure and temperature instead of a 2D one. Obviously this gets more computationally expensive, so that leads me to the next point... -I would like to see how a system like this could be optimised for use in real-time applications, again such as games. I am imagining a sort of volumetric tesselation, instead of tesselating resolution of geometry you are tesselating the resolution of the simulation. Like chunks in Minecraft if the chunks could have dynamically adjusting sizes and the cubes IN those chunks ALSO having variable sizes, so obviously a size of 0 (non existent) in air, and a non zero size if it contains our fluid, and then we can increase the resolution dynamically closer to the camera and as more detail is needed (low mass / high velocity areas come to mind, ie splashes and collisions with world geometry). I am 90% sure I am thinking this specifically *because* I have already seen such a system from an Nvidia tech demo some years back, but a more up to date version of that, with more performance, fidelity, scalability, and platform agnosticism. Basically I would like a system that could seamlessly simulate the large waves of an ocean, the smaller waves and splashes against boats and rocks in the ocean, and yet you could also fill a virtual cup with water from that very same ocean. So yknow, I'm only asking for literally the world 😅. Obviously this would have limitations, like taking a cup of water from the ocean would create a local high resolution for all the cup related simulations, but would have basically no impact on the overall volume of the ocean, so a dedicated enough player could probably create a new ocean cup by cup without ever depleting the original ocean. Although I think a lot of that would be able to be avoided by the global values; matter cannot be created or destroyed, and if the total deviates from the expected volume, you could "take" some from the largest body of water to bring the overall system back in line... -Speaking of global systems and asking for the world, I would reeeeeally love to see this above 3D global all-the-oceans system combined with a global weather system. Calculate the cross sectional surface area of waves to the wind, so that the air imparts energy into the ocean, causing more chaos, waves and spray and such, and likewise with the idea of temperature, the ocean radiates some of it's warmth back out into the air causing convection currents and what not, energy in to the system from the sun, out at night, creating natural day/night weather and seasons... Yknow, I guess that doesn't even need to be two distinct systems at that point, IF you could incorporate phase changes so water could evaporate or even freeze in the right conditions as part of the same simulation. I suspect maybe you would benefit from one of each of these systems per type-of-matter (Air, Mineral, Water, for a most basic world), obviously with some ability to interact with each other and not just on their own, to make it more memory/computation efficient than trying to store every type of matter in a single data system... on the scalability front, if this was somehow done ideally, you could basically "save" the MOST macro of things, like huge landmasses would barely change at all, so you would just need to describe the most coarse shape possible that says "this exists here but we don't really care about it", offload that to memory, and only simulate at the boundary layers and to some amount of depth based on the conditions, again; proximity to player and other factors about how much we care how precisely it updates in a given timestep. OK so I (almost certainly) have ADHD, so sorry for wall of text, I don't expect you to even read all of that, let alone touch on it in a video, LET ALONE actually DO it. I just have a brain that thinks at a million miles a minute but crashes so frequently from being unable to keep up with myself, so I hope people smarter and more talented than me can make the things I imagine and would make if I could trust myself to do the hard learning and working required, but basically I have been saying for the longest time that I want a virtual reality that I can "project" my mind into, like it is effectively real, but I can do things as fast as I can think of them, because in the real world I am limited by physics and knowledge and experience, and it has been hard putting into words exactly what I am imagining, and I think it is possible and that if I didn't have the aforementioned problems I would be making my proposed matrix exist except since I wouldn't have my problems I wouldn't necessarily see the need for a matrix since I would probably be content (enough) with the world to not bother, but this specific rant has helped me to at least explain some parts of what I imagine, basically a "Universe Sandbox" but instead of a focus on planets and such, it can simulate on whatever scale you want, from planets to oceans to a literal sandbox in the garden and everything in between and beyond, and I think the underlying tech to make that happen starts with a fully scalable simulation that conserves matter and energy, where, as above, you can store the fact that the earth exists and can simulate parts of it as needed, from ripples in a puddle, zooming out to sling the entire thing into the sun. Like, Universe Sandbox meets Astroneers meets From Dust. Basically. One thing that gets me excited is the ray traced voxel engine project by John Lin who I follow on twitter. It looks incredible and definitely would scratch a LOT of these itches, but I'm also not sure it's quite as far as I imagine things in my mind matrix. Mindtrix? God I need to get diagnosed and medicated, at the very least to stop myself going on these wild rambles, but who knows, with more focus, maybe I could do something productive, definitely not as ambitious as all this of course since that still does require more brains (number of, quality of, funding for, etc) than I could ever fathom, but like, something? That would be nice. Also on the (likely) ADHD thing, when I get going, I type as fast as I can to try and keep up with the thought process and it tires my brain out so I don't proof read, it's shot out as quick as possible and I just have to trust that it makes ANY sense or is at all readable, so apologies/congratulations to *anyone* who *ever* makes it through any of the nonsense I type, okay now imma go crash wewf did not expect a brain blast at this hour 😅 --------------------------------------------------------------------------- TLDR; nice video mate when's the next one? 😂
@gutzimmumdo4910
2 жыл бұрын
damn your videos are so fucking good
@nemstev7542
3 жыл бұрын
Amazing Video ! How you make your Videos with the animations and vizualization ?
@braintruffle
3 жыл бұрын
The simulations and the visualizations are coded from the ground up; any language is fine. For the 3D truffle scenes I use blender. Thank you very much!
@Lukegear
3 жыл бұрын
Nice! I was looking forward to this!
@braintruffle
3 жыл бұрын
Thank you so much!
@damirtenishev6874
2 жыл бұрын
Thank you for another masterpiece! I fall in love with the data representation and visualization. Just amazing. Very good coverage both from math and physics point of view and the logic is easy to follow. What is your expectation to publish the next part? I am eager to see it.
@m1g4s
2 жыл бұрын
Damn, where were you when i was learning CFD? This is incredibly well done, thank you!
@raresnetboy
2 жыл бұрын
I just found your work this weekend, excellent quality on a topic that isn't explained anywhere else in a way nearly (not same universe) as accessible and thorough, excitedly waiting for new videos!!!
@mtbassini
2 жыл бұрын
this right here. it was amazing, congratulations on the work! together with the microscopic perspective, it was one of the most beautiful expositions I've ever seen. the quality of the animations and theoretical backgroud you provide is simply astounding. keep it up.
@braintruffle
2 жыл бұрын
Wow, just want to say thank you for your compliment. I'm so happy you like it! :)
@markusheimerl8735
2 жыл бұрын
This is one of those few channels to watch out for. You are going to be BIG. Superb content.
@mayankm.sc.physicsiitbhu9756
2 жыл бұрын
Educational video of this quality must have taken a lot of time, but the result is amazing , looking forward for more videos like these😍😍
@_lambe_
2 жыл бұрын
Leaving a comment for the algorithm, because you more than deserve it!
@NebulousPendulum
2 жыл бұрын
This guy's the 3Blue1Brown of Physics!
@y5mgisi
2 жыл бұрын
Incredible video. I am so impressed and feel like I really absorbed the lessons with the visuals.
@LacenWolk
2 жыл бұрын
I wanna see the actual fluid simuation code, thats not the one from coding gems..
@belowdecent6494
2 жыл бұрын
A bit late to the ride, but just wanted to let you know that this series is truly amazing and extremely underrated. Videos like show just how beautiful physics and math can be even for people who are not that into it. Would love to see more!
@braintruffle
2 жыл бұрын
Thank you so much! I often feel stunned and excited when I dive into certain topics, and to hear that I was able to convey some of that beauty makes me very happy! Thank you so much for your comment!
@MassimoMascaro
2 жыл бұрын
Amazing series, I'm astonished by the quality of the visualizations and the clear explanations. Thanks and looking forward to see more soon!
@mattiasfagerlund
2 жыл бұрын
Excellent stuff, really looking forward to the coming episodes!
@Michallote
2 жыл бұрын
I have to take my hat off to you. I'm astounded at the quality of this video. The amount of effort for that kind of animations. The level of knowledge you must have in order to explain this so simply and beautifully. Sir please keep going, I'm already trying to share this with everyone. Thank you thank you so much for this lessons!
@braintruffle
2 жыл бұрын
Thank you soo much for your support and for leaving such a nice comment! I really appreciate it!
@ManuelADiaz-yh9vr
2 жыл бұрын
An educational Masterpiece! Thx U
@chakra6666
2 жыл бұрын
I am in awe that this series exists - truly outstanding quality. Can't wait for the next part, no matter how long it takes!
@gustavoEspirito
2 жыл бұрын
how did you make this video? brilliant !!!!
@shadamethyst1258
2 жыл бұрын
Amazing series, I can't wait for the next part!
@WildGamez
2 жыл бұрын
Wow...how does one get into this field of physics, problem solving and computer simulations. Seems extremely interesting.
@VReinthal95
2 жыл бұрын
The linear term to the infinite amount of terms with a larger power: "You have no power here!"
@majorfallacy5926
2 жыл бұрын
Damn this channel is gonna be the 3blue1brown of physics. Also nice to hear a german accent on youtube every once in a while :)
@braintruffle
2 жыл бұрын
I feel honored! Thank you so much :)
@ksotar
2 жыл бұрын
Absolutely outstanding! I wish I knew more about the software, with which such videos are produced.
@AR_434
2 жыл бұрын
I hope your videos get the recognition they deserve! This is a masterpiece!!
@alejrandom6592
2 жыл бұрын
Please don't stop making videos ♡
@xgozulx
2 жыл бұрын
Man, this 2 videos of yours are the best, i mean THE BEST recap of ALL physics. It is insane. Thank you so much for making them :D
@thephysicsgamer123
2 жыл бұрын
I love those little particle guys
@fogings
2 жыл бұрын
this is so well made and i still cant catch up :D
@蒋筝
2 жыл бұрын
What a brilliant and interesting video! I really enjoy it and you just help me visualize the concepts I learned from CFD. Really looking forward to your next masterpiece!
@mindprobe3587
2 жыл бұрын
I'm in. Totally in. Love your videos. Waiting for the next upload.
@py4839
2 жыл бұрын
What a quality~!! helps a lot thanks!!! expecting for another great video/
@serialkiller504
2 жыл бұрын
How do you do the shown simulations? What tools, techstack, what tech in generell do you use? I would love the do the same simulation for understanding. Ps: is it possible you are a fan of the channel threeblueonebrown? Your visualizations are top notch, like them
@bpanthi977
2 жыл бұрын
Absolutely in love with your work. Very very educational. Thank you!!! :)
@АндрейАлейник-х2п
2 жыл бұрын
Amazing! Looking forward to the new part! What programming language and what graphics libraries did you use?
@alexcarver
2 жыл бұрын
Incredible videos! Surprisingly accessible to someone not that familiar with the domain, and the attention to detail is stunning - must have been a lot of work! (In a decade+ of watching KZitem I think this might be my first comment - that's how good it is!)
@larslien9775
2 жыл бұрын
All professors just had to reconsider what they are doing... Excellent work man!
@Dth091
2 жыл бұрын
Fantastic stuff. Two videos out only and they're both great. Subscribed and eagerly awaiting part three!
@gt3293
2 жыл бұрын
Very well done, I can't wait to see the next one. What do you use for the animations, especially with all of the special lighting effects when in 3D?
@doriflow_engine
2 жыл бұрын
oh man, the decomposition of the Karman vortex is soothing! Appreciate the effort you put in and look forward to the next video.
@josephkony8935
2 жыл бұрын
Thanks for this video! This series came at a perfect time as I am beginning to study fluid dynamics at my college. But I had a couple questions throughout the video as it's my first time learning this subject. Why does having too few molecules cause it to not equilibrate? Also, why is it that, to get a meaningful average value, we need enough things that we can average over?
@braintruffle
2 жыл бұрын
More intuitively, without getting too technical, think of "being equilibrated" as a property of a collection of particles. Many particles can be equilibrated in that certain properties are distributed homogeneously throughout the fluid (temperature, density (without external force field), etc.). Now as we can attach the notion of equilibration to a certain portion of fluid, think of the extreme cases, namely extremely many particles and very few particles. Statistically, as extremely many particles move around (within an otherwise undisturbed fluid), the density for instance fluctuates but with stronger fluctuations occuring less often. Therefore, this fluid is more likely homogeneous in the density. For instance, a fluid of four million particles inside a container will almost never gather all particles on one side of the container. On the other hand, having very few particles, say four, it happens quite often that they gather all on one side of the container - which looks not so homogeneous. So having less particles increases the overall inhomogeneity. On top of that the notion of homogeneity/equilibration (properties of a collection of particles) for less particles make less and less sense if you think of a single particle. What does it equilibrate with? Is a single particle homogeneous in terms of density? These questions lose meaning, that is what was meant. This leads to the second question: the averages. First of all, yes technically you can compute averages of any number of values. But the more values you consider the more "robust"/"meaningful" this average will be. Here: If you move the "averaging-box" around, the average value of the particle occupation (see section on density) for instance does not vary so quickly, it is more robust and provides a better "measurement" of what really happens in terms of the underlying flow dynamics in the fluid. Individual particles simply contribute less to the average in that case. And for the case of locally non-equilibrated fluids, the global dynamics length scale is near enough to the particles free path length scale, meaning, the box size you would need to get a meaningful average value covers unfortunately too much of the global dynamics. This is the dilemma, a small box with few particles gives a less robust, local average (useless) and a bigger box gives a more robust average, but it does not resolve the global dynamics since all of that dynamics is already in that box (also useless). I hope this helps a bit. Best of luck with your studies!
@josephkony8935
2 жыл бұрын
@@braintruffle Thank you so much! Looking forward to the rest of the series!
@wriwnas
2 жыл бұрын
Amazing video!! Could you provide some additional info on how you made these awesome visualizations?
@aperiodicwalk3009
2 жыл бұрын
Wow, this is fantastic! I've always wanted to know more about fluid simulation and I love the visualizations!
@ARBB1
2 жыл бұрын
The amount of work that went into this is astounding. Good work. I also noticed how the little blobs interact with one another. A subtle detail but one that adds a lot.
@braintruffle
2 жыл бұрын
Thank you very much! The truffles are glad about your comment ;)
@sgtrumbi2265
2 жыл бұрын
This video is absolutely amazing and beautiful. Thank you so much for this brilliant piece of art!
@VeloFX
2 жыл бұрын
Really enjoyed the video. Looking forward to watch the next part !
@rogerdavies731
2 жыл бұрын
Well done! I'm looking forward to following along with you over the next installments and hopefully building my own fluids simulation software.
@evelynshephard3273
2 жыл бұрын
This is really well made but oh my god my understanding of these things were too abstract to have equations introduced 😅
@usopenplayer
28 күн бұрын
It's really amazing how much information Temperature, Pressure, and Velocity can carry.
@eriklopez996
2 жыл бұрын
This is the best video I've seen in KZitem so far. It makes one of the most abstract subjects in physics approachable to many.
@iKlalter
2 жыл бұрын
Absolutely amazing (visuals _and_ content!), I hope that more people will see this!
@neonblack211
2 жыл бұрын
Really impressive stuff can't say much that hasn't been said already, amazing video
@someusername9573
2 жыл бұрын
I have already implemented a 3d fluid simulation for the cpu about a decade ago but I never got very deep into the "nuts and bolts" of the underlying principles or the various approaches. This series really seems to hit the spot, amazing quality content!
@satriani17
2 жыл бұрын
Superb content. So polished and crystal clear. Thank you!
@ThomasHaberkorn
2 жыл бұрын
Great work. I love how you start at the quantum level and only then abstract upward. Never have seen that done in a contiguous way. I really highlights the levels of simplification needed
@marshallsweatherhiking1820
8 ай бұрын
This is so good. Starting from a microscopic perspective demystifies the Navier-Stokes equations a lot. I’m interested in seeing an equally intuitive derivation for a fluid that is not a gas. I’m guessing for something like water the microscopic picture is of molecules that are “sticky” rather than elastic. The simulation would be more computationally expensive than the elastic case, but it doesn’t need to run in real time so it can be done. I recall that abrupt phase transitions are due to quantum-mechanical factors, so a purely newtonian simulation would yield an unrealistically gradual transition from liquid to gas. I’m not certain though. It would be so cool to see a visual representation of “phase change”.
@terjelindtveit8072
2 жыл бұрын
Also CFD student here, just going to say this is simply outstanding. Can't wait to see where this channel goes
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