Fluid dynamics feels natural once you start with quantum mechanics

This is the first part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch.

We highlight the Microscopic Perspective on Quantum Mechanics, Molecular Dynamics, and the Kinetic Theory of Gases that underlies and justifies Fluid Simulation Formulations in the first place.

The Microscopic Perspective provides the ground for the next part where we focus on the Macroscopic Perspective with concepts such as Pressure, Viscosity, Temperature, and Flow Velocity as well as its evolution with time.

Timetable: —————– 00:00 – What We Build 02:06 – Guiding Principle – Information Reduction 04:03 – Measurement of Small Things 07:09 – Quantum Mechanics and Wave Functions 13:45 – Model Order Reduction 16:48 – Molecular Dynamics and Classical Mechanics 26:50 – Kinetic Theory of Gases 30:23 – Recap

07:57 Quantum Mechanics Overview, Wave packets, Standing Waves, Eigenstates: E-Book: “Mathur, Samir D. https://www.asc.ohio-state.edu/mathur…” E-Book: “van Dommelen, Leon. Quantum mechanics for engineers. https://web1.eng.famu.fsu.edu/~dommel… (2004)”

16:01 Model Order Reduction, Modes: Lecture Notes: from “Farhat, Charbel. Model Reduction. https://web.stanford.edu/group/frg/co…” to “CA-CME345-Ch9”

17:17 Classical Mechanics, Phase Space: Lecture Notes: “Cerfon, Antoine. Mechanics (Classical and Quantum). https://www.math.nyu.edu/~cerfon/mech…”