SIAM Article: 50 years of ADI

AME 90936 Computational Fluid Mechanics
Spring 2017

# Topic Date Work due

PART I: Introduction and Basic Concepts

1 Introduction, what is CFD, its history and what we will cover.
Video, PowerPointSlides, Harlow's Article
Jan. 18 .
2 The Advection-Diffusion Equation.
Audio Only (sorry!), PowerPointSlides,
Jan. 23 .
3 Solving the Navier-Stokes equations using the streamfunction-vorticity formulation
Video, PowerPointSlides,
Jan. 25 .
4 The Navier-Stokes Equations
Video, PowerPointSlides, Lecture Notes
Jan. 30 HW 1
5 Solving the Navier-Stokes equations using the pressure-velocity formulation
Video, PowerPointSlides, MAC code
Jan. 30 .

PART II: Solving Partial Differential Equations

6 Characteristics and classification of PDEs
Video, PowerPointSlides, Lecture Notes
Feb. 1 Project 1
7 Advection I
Video, PowerPointSlides,
Feb. 6 HW 2
8 Advection II
Video, PowerPointSlides,
Feb. 6 .
9 Advection III
Video, PowerPointSlides,
Feb. 8 .
10 Euler Equations I
PowerPointSlides,
Feb. 27 HW 3
11 Euler Equations II
PowerPointSlides, Euler2D-ZB-upw-Oblique code
March 1 Project 2
12 Solutions of Parabolic and Advection Diffusion Equations
PowerPointSlides,
March 6 HW 4
13 Solutions of Elliptic Equations I
PowerPointSlides,
March 6 .
14 Solutions of Elliptic Equations II
PowerPointSlides,
March 8 HW 5
15 Advanced NS Solvers
PowerPointSlides,
March 20 .
16 Complex Domains I
PowerPointSlides,
March 20 HW 6
17 Complex Domains II
PowerPointSlides,
March 27 .
18 Complex Domains III & Visualization
PowerPointSlides,
March 27 HW 7
19 Other Methods for CFD
PowerPointSlides,
March 29 Project 3
20 Other Methods for CFD & Software
PowerPointSlides,
April 3 HW 8

PART III: Introduction to Advanced Topics

21 Verification & Validation and UQ
PowerPointSlides,
April 5 .
22 Methods to Track Moving Interfaces
PowerPointSlides,
April 10 HW 9
23 Simple Code for Multiphase Flow
PowerPointSlides,
April 12 .
24 Direct Numerical Simulations
PowerPointSlides,
April 24 HW 10
25 Studies of Multiphase Flows
PowerPointSlides,
April 26 HW 10
26 Computer Science Issues
PowerPointSlides,
May 1 HW 11
27 Catchup and Review
PowerPointSlides,
May 3 Project 4