AE/ME 339 (Computational Fluid Dynamics)

Fall Semester 2002 Lecture Schedule

 Date Archived  Lectures

Streaming Video

Archived Lectures

Windows Media Player

Homework/ Due Date 

Lecture Notes

 

08/27/2002
28.8/56Kbs  200Kbs

200Kbs

 

Introduction
Ordinary differential equations

8/29/2002

28.8/56Kbs  200Kbs

200Kbs

 hw1 assigned  

Flow in a constant area-tube with heat addition

09/03/2002

28.8/56Kbs  200Kbs

200Kbs

 hw2 assigned hw1 due

Flow in a constant area tube with friction 4th order Runge-Kutta method 
09/05/2002 28.8/56Kbs  200Kbs  200Kbs

 hw3 assigned hw2 due

topic2: Introduction to PDE Partial differential equations (PDE). Classification of PDEs. Unsteady heat conduction equation. Finite difference approximation of derivatives
09/10/2002 28.8/56Kbs 200Kbs 200Kbs  

topic3: Forward difference, backward difference and central difference forms. Truncation error. Explicit solution technique. Stability of explicit technique 

09/12/2002 28.8/56Kbs  200Kbs 200Kbs

 hw3 due

topic4: Implicit method. Solution by Gauss elimination. Thomas algorithm.  Crank-Nicolson method. 
09/17/2002 28.8/56Kbs  200Kbs 200Kbs

hw4 assigned      

Quiz 1. ADI method. Treatment of non-linear equations by linearization.

09/19/2002

28.8/56Kbs  200Kbs

200Kbs   treatment of boundary conditions
09/24/2002 28.8/56Kbs  200Kbs 200Kbs

 hw4 due

09/26/2002

 Test 1

  

Closed book and open book parts. In-class test

10/01/2002

28.8/56Kbs  200Kbs

200Kbs

hw5 assigned

Navier-Stokes equations (Chapter 2)

10/03/2002

28.8/56Kbs  200Kbs

200Kbs      Navier-Stokes equations(Chapter2)

10/08/2002

28.8/56Kbs  200Kbs 200Kbs       Navier-Stokes equations (Chapter 2)

10/10/2002

28.8/56Kbs  200Kbs 200Kbs

 hw5 due 

Pressure correction method. SIMPLE algorithm. 

10/15/2002

28.8/56Kbs  200Kbs

200Kbs

 
 

SIMPLE algorithm(2). Review of ADI method. Flow with heat addition. Numerical algorith.
10/17/2002 28.8/56Kbs  200Kbs 200Kbs   Flow over a heated wall. BL approximation. 

10/22/2002 

28.8/56Kbs  200Kbs

200Kbs   MacCormack's method. The shock tube problem.

10/24/2002

28.8/56Kbs  200Kbs

200Kbs  

shock tube equations in vector form, solution details, extrapolation boundary condition

10/29/2002

28.8/56Kbs  200Kbs

200Kbs  

Finite difference algorithm for shock tube flow

10/31/2002

Test 2

       
11/05/2002 28.8/56Kbs  200Kbs 200Kbs      Grid generation
11/07/2002

28.8/56Kbs  200Kbs

200Kbs  

CFD lab. Flow in an automotive carbon canister, flow over NACA 0012 airfoil at angle-of-attack using Spalart-Almaras turbulence model

11/12/2002 28.8/56Kbs  200Kbs 200Kbs   Grid generation, examples
11/14/2002 28.8/56Kbs  200Kbs 200Kbs   Potential flow over a cylinder. Doublet in uniform flow. 
11/19/2002 28.8/56Kbs  200Kbs 200Kbs  
  
Numerical solution of Laplace's equation using relaxation technique. SOR
11/21/2002 28.8/56Kbs  200Kbs 200Kbs      Boundary conditions: surface, far field and line of symmetry
11/26/2002 28.8/56Kbs  200Kbs 200Kbs   Flow in a convergent-divergent supersonic nozzle. Closed form solution. 
11/28/2002 No Class

No Class

Thanksgiving 
12/03/2002 28.8/56Kbs  200Kbs 200Kbs     Numerical solution of quasi-one dimensional equations of supersonic nozzle flow 
12/05/2002 28.8/56Kbs  200Kbs  200Kbs      Burgers' equation; its numerical solution. Beam-Warming implicit method
12/10/2002 28.8/56Kbs  200Kbs 200Kbs      solution of Burgers' equation by Beam-Warming method 
12/12/2002 28.8/56Kbs  200Kbs 200Kbs      Review
12/17/2002 28.8/56Kbs  200Kbs 200Kbs      Final Exam 10:30-12:30, 213 Civil Eng
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