AME 90936 Computational Fluid Mechanics
LECTURES Spring 2011

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, PowerPointSlides, Harlow's Article
Jan. 19 .
2 The Advection-Diffusion Equation. I: Derivation and numerical approximations.
Slides, Video
Jan. 21 .
3 The Advection-Diffusion Equation. II: Numerical Implementation
Slides, Video
Jan. 24 .
4 The Navier-Stokes Equations
Slides, Video, Lecture Notes
Jan. 26 .
5 Solving the Navier-Stokes equations using the streamfunction-vorticity formulation
Slides, Video
Jan. 28 HW 1
6 Solving the Navier-Stokes equations using the pressure-velocity formulation
Slides, Video, MAC code
Jan. 31 Project 1
7 No Lecture-ND closed due to snow Feb. 2 .

PART II: Solving Partial Differential Equations

8 Numerical Analysis
Slides, Video
Feb. 4 .
9 Characteristics and classification of PDEs
Slides, Video, Lecture Notes
Feb. 7 HW 2
10 Advection
Slides, Video
Feb. 9 .
11 Advection
Slides, Video
Feb. 11 HW 3
12 Advection
Slides, Video
Feb. 14 .
13 Exercises
No Slides
Feb. 16 .
14 Exercises
No slides
Feb. 18 HW 4
15 Advection
Slides, Video
Feb. 21 .
16 Advection
Slides, Video
Feb. 23 .
17 Advection
Slides, Video, Euler1D-upwind code, Euler1D-Lax-Wendroff code,
Feb. 25 HW 5
18 Solutions of Parabolic Equations
Slides, Video, SIAM Article: 50 years of ADI
Feb. 28 Project 2
19 Solutions of Elliptic Equations-1

Slides, Video
March 2 .
20 Solutions of Elliptic Equations-2
Slides, Video
March 4 HW 6
21 Solutions of Elliptic Equations-3
Slides, Video
March 7 .
22 Advanced NS solvers
Slides, Video
March 9 .
23 More NS Solvers
Slides, Video
March 11 HW 7
Questions
24 Complex Domains-1
Slides, Video
March 21 .
25 Complex Domains-2
Slides, Video
March 23 .
26 Complex Domains-3
Slides, Video
March 25 HW 8
27 Complex Domains-4
Slides, Video
March 28 Project 3
28 Methods for moving interfaces
Slides, Video
March 30 .
. No Lecture
.
April 1 .
29 Other methods for CFD
Slides, Video
April 4 HW 9
30 Vortex Methods
Slides, Video
April 6 .
31 SDMC
Slides
April 8 HW 10

PART III: Introduction to Advanced Topics

32 Introduction to Advanced Topics
Slides, Video
April 11 .
33 Predictivity (Verification & Validation and UC)
Slides, Video
April 13 .
34 No Lecture (MUMECH Meeting)
.
April 15 .
35 Multiscale (turbulence)
Slides, Video
April 18 HW 11
36 Multiscale (turbulence, multiphase, combustion)
Slides, Video
April 20 .
37 Multiscale (combustion, "isolated defects")
Slides, Video
April 27 .
38 DNS of Multiphase Flows
Slides, Video
April 29 HW 12
39 Predicting Large and Complex Systems
Slides, Video
May 2 Project 4
40 Catchup and Review
Slides, Video
May 4 .