Schedule
Introduction to Finite Differences
Summer Session 2016

Weekly meetings will include a discussion of the previous homework assignment, watching a video of Lorena Barba's presentation on "12 Steps to Navier Stokes", and a discussion afterwards of the material.

1. 10 May:
   Lecture: Overview of finite difference methods.
2. 12 May:
   Lecture: Overview of finite element methods.
3. 17 May:
   Notebook #1: Linear convection in 1D.
   Video #1: Introduction to CFD.
   Video #2: Introduction to finite differences.
4. 24 May:
   Notebook #2: Nonlinear convection in 1D.
   Video #3: Order of accuracy, formula for midpoint, model equations.
   Video #3.5: The midpoint scheme.
   Video #4: First four steps of practical module (start).
5. 31 May:
   Notebook #3; Diffusion in 1D.
   Video #4: First four steps of practical module (finish).
   Video #5: Explicit versus implicit schemes.
6. 7 June:
   Class cancelled.
7. 14 June:
   Notebook #4: Burgers equation in 1D.
   Video #6: Steps 5 to 8 of practical module.
   Video #7: Analysis of numerical schemes I.
8. 16 June:
   (makeup class)
   Video #8: Analysis of numerical schemes II.
   Video #9: The truncation error, the modified differential equation.
9. 21 June:
   Notebook #5: Linear convection in 2D.
   Video #10: The von Neumann stability analysis.
   Vidoe #11: The Poisson equation for pressure.
10. 28 June:
    Notebook #6: Nonlinear convection in 2D.
    Video #12: Steps 9 to 12 of practical module.
11. 5 July:
    Notebook #7: Diffusion in 2D.
    Video #13: New schemes for convection.
    Video #14: Multi-step methods.
12. 12 July:
    Notebook #8: Burgers equation in 2D.
    Video #15: Spectral analysis I.
    Video #16: Spectral analysis II.
13. 19 July:
    Notebook #9: Laplace equation in 2D.
    Video #17: Spectral analysis III.
    Video #18: Nonlinear convection, Burgers equation, Lax-Friedrichs.
14. 26 July:
    Notebook #10: Poisson equation in 2D.
    Video #19: Nonlinear convection, Burgers equation, MacCormack.
    Video #20: Burgers equation debrief I.
15. 2 August:
    Notebook #11: Navier-Stokes cavity flow in 2D.
    Video #21: Burgers equation debrief II.
    Video #22: Euler equations.
16. Might not get this far:
    Notebook #12: Navier-Stokes channel flow in 2D.
    Video #23: Euler Equations and the shock-tube problem.
    Video #24: Discretizing Euler equations.

You can return to the FDM 2016 web page.