“Kid codes a water simulation, parents FLIP!!”

This looks really good! Implementing a physically accurate free surface fluid model (Volume-of-Fluid in lattice Boltzmann) was one of the hardest things I've ever done. Literature is full of errors and one particular paper with wrong equations did cost me months. But in the end it was all worth it and I could significantly improve the state-of-the-art method on GPU.

Each of these videos is like a small present. Please keep on doing this!

These tutorials are amazing! Compared to the traditional paper, using videos, interactive demos and code samples really improves the accessibility of physics simulations, which can be a very hard topic to get into. Thank you so much for doing these tutorials Matthias, very inspiring both from a coding and teaching perspective.

Once again, another excellent tutorial. Big fan of this style of math tutorial where the goal is clarity and understanding instead of obtuse rigor.

Wow! This is very impressive! I do remember times when I did try to write code to simulate fluid using navier stokes / finite elements in University 20 years ago and it took more than year to make things stable for simple setups.

Really cool! Your code is elegant! By the way, happy new year and wish you an excellent new year 2023!

Excellent presentation and implementation!

Some game somewhere will have a really cool water level because of your amazing explanation.

Your work is absolutely amazing. Can't wait what you come up next

This channel is amazing, great videos.

Your tutorials are amazing! Please keep teaching. :)

Gas, Liquid, ... This channel is FIRE!

Thanks for the videos and the explanations, these are super clear and easy to follow.

Most informative! Thank you.

Awesome video as always! I'd love to see you cover the shallow water equations for simulating a fluid surface. Can produce some convincing results too!

great job mat! so very appreciate your sharing this👏

Thanks for sharing your knowledge. I hope one day I will be able to understand and do it by my self.

This is super interesting, thanks for filling a gap in my knowledge

Awesome simulator. Thank you very much. Greetings from Popayan, Colombia.

Very cool. Thanks for sharing

This makes me os happy!

Really great video! I must do one myself... 🙂

This is so cool! Thanks!

Amazing channel!

I love ur videos!

I hope you're going to cover a method for ridged bodies in xpbd soon, anxiously waiting for that!

Thank you so much!

Very cool

this is a greaaat video

Your explanations are so clear! Can you give us a clue on how to incorporate the effect of forced convection (wind) on the surface of the fluid? Thank you! 🎉🎉❤❤

I experimented with the project and added a fixed obstacle 90% of the way across the middle of the page and generated water particles above it. The problem I have is the solid obstacle leaks. While most water runs to the end of the obstacle and falls to the lower chamber. a significant fraction falls as 'rain' from the bottom of the obstacle. Is there any easy way to stop the leaks? I think the same is happening with the round obstacle as well.

Great video as always. Is the k*(rho - rho_0) term a standard trick? I don't believe I've seen it before in FLIP solvers. It seems like it wouldn't actually converge in the limit to the zero divergence solution unless all local particle densities converge to the global average particle density. Would you use it like this in practice with fixed k (your code seems to use k = 1) or would you drive k to zero over multiple solver iterations so as to avoid this seemingly non-physical behavior? Thanks!

Is there any way to combine this with XPBD or use some of the lessons of XPBD together with FLIP? How about combining simulations of solids and fluids? Let's say you want to simulate some boats on top of the ocean, but the boats should have some small swimming pools within themself, and some toy boats in the swimming pool. How would one simulate all of this together knowing what we know about XPBD?

Wait a sec for the demo link to work and the hd version...

Hi, could you please deal with the Maxwell Eq for interference of waves?

Nice approach using the same grid, but it doesn't mean you have to ignore the gas cells! I just assume fluid velocity has a larger weight than gas and combine them wherever the fluid goes. Accuracy and speed is always a tradeoff, but it is possible to compromise to keep average error low and give plenty of room to make it very, very fast and highly parallel. For example, boundary condition correction can be quite heretical without sacrificing much visual fidelity, which sounds horrible, but it's a simple as something similar to signed distance field, but in a texture that can be sampled and added to position. I researched all of this and well, I'm no Carmack :D. It all depends on your objective.

Has anyone looked at non-uniform grid update? I'd be interested to see how that breaks down, or if it happens to be useful. Not in terms of scale of the simulation, but like crazy ignoring the speed of sound globally and assuming it matters more locally.

Would this technique work with the Spatial Hash grid to get it out of the rectangular simulation domain?

Why deal with multiple particles in a grid cell, just deal with density, pressure and momentum to get a velocity, then your grid is the resolution and pressure is the color, for air and water separation you can add gravity to each cell and pull down based on density.

Have you any experience doing cool things like you do, but rendered in THREEJS?

I noticed that vortices seem to persist for a very long time in the simulation, is that intended?

disabling seperate particles with PIC approximates how boiling looks like

Can you make simulation of fish inside 2D fluid.

Have you studied computational physics ?

can you please consider refactoring the older liquid sim tutorial, it works great but I had hard time understanding it... I would suggest separating the code into smaller functions and descriptive variable names

Send me more simulations.

please do this also in excel🙏😇

3D?

So-called "incompressible" fluids aren't truly incompressible, as they manage to compress themselves under their own weight, more the deeper the fluid pool.

beware re: 2d fluid sims - many fluid behaviors are fundamentally different in 2d than in 3d.

So interesting, please sir can I have your email....