AME 67636 Computational Fluid Mechanics
LECTURES Spring 2013

Tentative---Subject to Change

# Topic Date Work due

PART I: Introduction and Basic Concepts

1 Introduction, what is CFD, its history and what we will cover.
Slides, Video (from 2011), Harlow's Article
Jan. 16 .
2 The Advection-Diffusion Equation. I:
Slides, Video
Jan. 18 .
3 The Advection-Diffusion Equation. II:
Slides, Video
Jan. 21 .
4 The Navier-Stokes Equations
Slides, Video, Lecture Notes
Jan. 21-II .
5 Solving the Navier-Stokes equations using the streamfunction-vorticity formulation
Slides,Video (from 2011)
Jan. 23 .
6 Solving the Navier-Stokes equations using the pressure-velocity formulation
Slides, Video, MAC code
Jan. 23-II .

PART II: Solving Partial Differential Equations

7 Elementary Numerical Analysis
Slides, Video
Jan. 25 Project 1
8 Characteristics and classification of PDEs
Slides, Video, Lecture Notes
Jan. 28 HW 1
. No Lecture Jan. 30 .
9 The Wave Equation
Slides, Video
Feb. 1 .
10 Advection
Slides, Video
Feb. 6 .
11 Advection
Slides, Video
Feb. 6-II HW 2
12 Advection
Slides, Video
Feb. 8 .
13 Advection
Slides, Video
Feb. 11 .
. No Lectures Feb. 13-20 .
14 The Euler equations-I
Slides, Video
Feb. 22 .
15 The Euler equations-II
Slides, Video, Euler1D-upwind code, Euler1D-Lax-Wendroff code
Feb. 25 HW 3
16 Solutions of Parabolic Equations
Slides, Video, SIAM Article: 50 years of ADI
Feb. 25-II .
17 Solutions of Elliptic Equations-1
Slides, Video
March 1 HW 4
18 Solutions of Elliptic Equations-2
Slides, Video
March 6 .
19 Solutions of Elliptic Equations-3
Slides, Video
March 6-II Project 2
20 The Advection-Diffusion Equation
Slides, Video
March 8 HW 5
21 Advanced NS solvers
Slides, Video
March 18 .
22 More NS Solvers
Slides, Video
March 18-II .
23 Complex Domains-1
Slides, Video
March 22 .
24 Complex Domains-2
Slides, Video
March 25 .
25 Complex Domains-3
Slides, Video
March 25-II HW 6
Questions
26 Complex Domains-4
Slides, Video
March 27 .
27 Moving interfaces April 3 HW 7
28 Other methods for CFD-I
Slides, Video
April 5 Project 3
29 Other methods for CFD-II
Slides, Video
April 8 HW 9

PART III: Introduction to Advanced Topics

30 Introduction to Advanced Topics. Predicting Large and Complex Systems
Slides, Video
April 10 .
31 Predictivity (Verification & Validation and UC)-I
Slides, Video
April 12 .
32 Predictivity (Verification & Validation and UC)-II April 15 HW 9
33 Multiscale (turbulence) April 17 .
34 Multiscale (turbulence, multiphase, combustion) April 19 .
35 Multiscale (combustion, "isolated defects") April 22 HW 10
36 DNS of Multiphase Flows-I April 24 .
37 DNS of Multiphase Flows-II April 26 .
38 DNS of Multiphase Flows-III April 29 HW 11
39 Catchup and Review May 1 Project 4