Macroscopic dynamics arise even for very few particles
This is the second part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch.
We derive the Macroscopic Perspective (Continuum) from the Microscopic Perspective (Molecules) covering: Collective Molecular Behavior, Local (Non-)Equilibria, Classical Statistical Mechanics, Rarefied Gas Dynamics, and Continuum Gas Dynamics.
The Macroscopic Perspective provides the ground for the next part where we make it all numerically accessible - the Discretization.
Timetable:
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00:00 - Why we need a Macroscopic Perspective
01:44 - Particles Collective Behavior
05:33 - Using Equilibria for Reduction
08:17 - Statistical Mechanics and Rarefied Gas Dynamics
12:00 - Continuum Gas Dynamics
16:09 - Building Macroscopic Quantities
23:05 - Linking Macroscopic Quantities
34:09 - Recap
Selected Papers and Learning Resources:
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Macroscopic dynamics arise even for very few particles