Part 2 of a 3-part review of the derivation of the differential form of the fluid equations, this "pencast" explains the derivation of the equation of conservation of momentum by making a balance of forces of a small (infinitesimal) volume of fluid. Assuming no shearing stresses, it concludes with the Euler equations in vector form.

Lecture "zero" (2012) part 2: Derivation of the Equation of Conservation of Momentum

Part 1 of a 3-part review of the derivation of the differential form of the fluid equations, this 12 min "pencast" explains the derivation of the equation of conservation of mass for a small (infinitesimal) element of fluid.

Lecture "zero" (2012) part 1: Review of the derivation of the Equation of Conservation of Mass

Lecture 7 (2011) part 1: pressure correction, collocated vs. staggered grid, MAC method

Lecture 7 (2011) part 2: boundary conditions for the pressure Poisson equation

Lecture 16: Time integration methods (cont.), stability condition; stability regions in the complex plane. Examples.

Lecture 15: Time integration methods, modal decomposition, stability condition

Lecture 14:  choices for final assignment. Time Integration Methods.

Lecture 13: the Finite Volume method, part 2.

Lecture 12: the Finite Volume Method

Lecture 11:  Numerical solution of the Euler equations.

Computational Fluid Dynamics - ENG ME702 - Video

Lecture 10: Nonlinear convection classic schemes; assignment in 5 steps with Burgers equation.

Lecture 9: schemes for hyperbolic equations; Beam-Warming; multistep-methods including MacCormack

Lecture 8: new schemes for convection, and dispersion errors.

Lecture 7: New schemes for convection: leapfrog, Lax-Friedrichs, Lax-Wendroff.

Lecture 6: Computing Navier-Stokes; pressure Poisson equation; steps 9 to 12 of assignment.

Neumann Stability

Lecture 5: Analysis of numerical schemes; modified differential equation. Von Neumann stability analysis.  Examples.

Lecture 4: Analysis of numerical schemes; consistency, stability, convergence.

Welcome to the course for iTunes subscribers

Lecture 3: FD explicit/implicit methods; Crank-Nicholson method; assignment steps 5 to 8

Lecture 2: finite differences, model equations, and assignment steps 1 to 4

I feel that this was a great set of lectures for an introduction to CFD.  The style of writing out equations has been lost with the era of PowerPoint charts.  To see the equations and discretizations being derived slowly and methodically I feel was a great help.  

I wish we could see more of the simulations using the Enthought Python tool from the assignments.... but that would make things too easy on the student.  

After this class, I am now reading my Tannehill, Anderson and Pletcher textbook with much better understanding.

CFD - BU ME702 Lecture Series

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