AME 90936 Computational Fluid Mechanics


#  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 AdvectionDiffusion Equation. I: Derivation and numerical approximations.
Slides, Video 
Jan. 21  .  
3  The AdvectionDiffusion Equation. II: Numerical Implementation
Slides, Video 
Jan. 24  .  
4  The NavierStokes Equations
Slides, Video, Lecture Notes 
Jan. 26  .  
5  Solving the NavierStokes equations using the streamfunctionvorticity formulation
Slides, Video  Jan. 28  HW 1  
6 
Solving the NavierStokes equations using the pressurevelocity formulation
Slides, Video, MAC code 
Jan. 31  Project 1  
7  No LectureND 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, Euler1Dupwind code, Euler1DLaxWendroff 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 Equations1
Slides, Video 
March 2  .  
20  Solutions of Elliptic Equations2
Slides, Video 
March 4  HW 6  
21  Solutions of Elliptic Equations3
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 Domains1
Slides, Video 
March 21  .  
25  Complex Domains2
Slides, Video 
March 23  .  
26  Complex Domains3
Slides, Video 
March 25  HW 8  
27  Complex Domains4
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  . 