This week, I recorded 4 new #VisualAlgebra YouTube videos on group actions. I heavily use the following concepts: 1. G-sets 2. Action graphs 3. Group switchboards 4. Fixed point tables. Interested? I'll give you a preview here. Please share! 🧵👇1/16

Eureka, I finally unlocked an intuitive understanding of the Navier-Stokes equations. It feels like a veil has been lifted from my eyes. Yay! 🥹🫠

For the first time, I have run a successful transient OpenFOAM simulation with a clear understanding of the equations and constants involved. Thank you Tobias Holzmann , Theo Ong Science and Engineering, Jozsef_Nagy, and Thaw Tar ... Really grateful 🫡

Getting motivation from the real numbers, “Any journey, no matter how long, can be covered by a finite number of positive steps, no matter how small.” Emphasis on positive

they told me my work is not well known, and i just need to get more eyeballs on it

Huge congratulations to my former PhD student Rohan Sawhney for winning the ACM SIGGRAPH Outstanding Doctoral Dissertation Award! 🥳 Rohan's thesis develops a whole new class of Monte Carlo methods for solving physical equations, without needing to break the world up into a mesh.

Today I managed to teach CFD to high schoolers

I forgot again: I always want to advertise my free PDF book researchgate.net/publication/31… at the start of a presentation, revealing I am Katate Masatsuka, but I keep forgetting.

Implemented the Omega criterion for vortex identification from scratch in OpenFOAM . Beautiful paper

Today is the 1-year anniversary of the best blog post of 2024, "You Are NOT Dumb, You Just Lack the Prerequisites" by Lelouch 👾:

remember kids green mean it good red mean it bad you no need stokes you no need mesh theory you no need element types green means send it

Decided to get myself a copy from the Elsevier shop. Probably due to the holidays discount and free shipping 😊. Can’t wait for my hardcopy to arrive

Finally, now the year can begin in peace 😊

If Euler, Gauss, Maxwell, even Ramanujan, Galois, etc., needed to spin up on foundational knowledge, then so do you.

The best part about working on 'computing diffusion geometry' was understanding *visually* what calculus/geometry is and how it works. e.g. how does the Hodge Laplacian "see" topology? [1/5]

AI finds a missing equation for simulating atmospheric and oceanic turbulence Climate models and weather forecasts simulate turbulent flows spanning scales from thousands of kilometers down to meters. No computer can resolve all of them, so modelers approximate the effect of

Substantial Derivative 😊

Deeply saddened by the passing of Nobel laureate Tony Leggett. Once in a conference, the posters were inadvertently placed too low, yet he knelt down to listen to our presentations. His respect for every piece of knowledge will endure alongside his legendary contributions to phys

50 Kaggle Gold Medals. 🏅 It’s hard to believe, but I hit a milestone that seemed impossible when I first joined Kaggle. 50 Golds.

An MIT professor taught the same math course for 62 years, and the day he retired, students from every country on earth showed up online to watch him give his final lecture. I opened the playlist at 2am and ended up watching three of them back to back. His name is Gilbert