Governing Equations of Fluid Dynamics: Lattice Boltzmann Method to Navier-Stokes Equations

The present video provides a thorough introduction about Governing Equations of Fluid Dynamics in Mesoscopic and Macroscopic Scales from Lattice Boltzmann Method to Navier-Stokes Equations.

Video Outline:
0:00:00 - Introduction
0:01:08 - Microscopic Scale
0:01:55 - Mesoscopic Scale
0:02:42 - Macroscopic Scale
0:03:40 - Lattice Boltzmann Method
0:11:53 - Macroscopic Scale
0:12:10 - Eulerian and Lagrangian Descriptions
0:14:03 - The Velocity Field
0:14:33 - No-Slip Condition
0:15:33 - The Acceleration Field
0:19:08 - Mass conservation equation
0:21:45 - Steady Compressible Flow
0:21:59 - Incompressible Flow
0:23:09 - Momentum equations
0:28:51 - Inviscid Flow: Euler’s Equation
0:29:25 - Newtonian Fluid: Navier-Stokes Equations
0:31:08 - Boundary Conditions
0:33:56 - The stream function
0:35:29 - Vorticity and Irrotationality
0:37:42 - Frictionless irrotational flow (Bernoulli’s equation)
0:38:31 - Velocity Potential

[mahoneytechnologies]

Great Presentation, Very Well Done - This is really a University Level Class At Home, Thank You! This done better and More Clearly than at most Universities I Bet!

[dormg]

really appreciate your lectures, this was very clear. thank you

[mahoneytechnologies]

Can you do a Presentation like this on Landau Damping?

[dirkneethling]

@35:09 - How do you obtain the 4th order equation below the vorticity function? It was not clear from the video.