INTRODUCTION TO COMPUTATIONAL FLUID MECHANICS

Instructor: Gretar Tryggvason

Spring 2010---Subject to Change!

LECTURES

Videos of Lecture are Posted on MyWPI Following Each Lecture!
Log on to: https://my.wpi.edu/webapps/login/
# Topic Date Work due

PART I: Introduction and Basic Concepts

1 Introduction, what is CFD, examples, computers, course administration, elementary numerical analysis. Slides Jan. 20 .
2 Elementary numerical analysis, integration of ordinary and partial differential equations. Slides
Matlab Wiki
Jan. 25 .
3 Numerical analysis. Finite difference solution of the Navier-Stokes equations in vorticity/streamfunction form. Slides Jan. 27 .
4 Finite volume methods. Examples. Slides Feb. 1 .
5 Review of fluid mechanics: the governing equations and "types" of flows. Slides Feb. 3 HW 1

PART II: Elements of Numerical Analysis

6 Introduction to Partial Differential Equations, elementary numerical analysis. Slides Feb. 8 Project 1
7 Numerical Methods for Hyperbolic Equations-1. Slides Feb. 10 .
8 Numerical Methods for Hyperbolic Equations-2. Slides Feb. 15 .
9 FLUENT hands-on session: See "Animated Tutorials for ME612" on myWPI Feb. 17 .
10 Numerical Methods for Hyperbolic Equations-3. Slides Feb. 22 HW 2
11 Numerical Methods for Parabolic Equations. Slides Feb. 24 .
12 Numerical Methods for Elliptic Equations-1. Slides March 1 Project 2.
13 Numerical Methods for Elliptic Equations-2. Slides March 3 .
. NO LECTURE-BREAK March 8 .
. NO LECTURE-BREAK March 10 .
14 The Advection-Diffusion Equation. Slides March 15 HW 3
15 Solving the Navier-Stokes equations in primitive variables, the MAC method. Slides March 17 .
. Exam. Quiz1-09 Quiz1-08 March 22 .
16 FLUENT hands-on session Wiki: Commercial Codes March 24 .
17 Solving the Navier-Stokes Equations. Slides March 29 .

PART III: Introduction to Advanced Topics

18 Complex Domains, Body Fitted Coordinates. Slides March 31 Project 3
19 Body Fitted Coordinates, Grid Generation. Slides April 5 .
20 Introduction to Turbulence. Slides April 7 .
21 Multiphase Flow and Combustion. Slides April 12 HW 4
22 DNS of Multiphase Flows-I. Slides April 14 .
23 DNS of Multiphase Flows-II. Slides April 21 .
24 Other methods for CFD+Parallel Computers. Slides April 26 .
25 Summary and Overview. Slides April 28 .
. Final Exam. Quiz2-07 Quiz2-09 May 3 HW 5
Project 4