| Date |
Topics covered: |
| 1/15 |
Introduction to the
Class |
|
Use of Numerical Methods |
|
Initial Mathematical Model |
|
Transformation of Model
Equations |
|
Steps for Use of Finite Difference |
1/17
|
Classification
of PDEs ( Examples) |
| 1/22 |
Formation of Finite Volume
Equations |
1/24, 1/29
|
Verification
and Validation of
Codes and Results |
1/31
|
Formation of Finite Difference Equations |
2/5
|
Finite Difference Equation Examples |
| 2/7 |
Predictor Corrector Method |
2/12, 2/14
|
Iterative Solution of Linear
Equations, Basics |
| 2/19 |
Domain Decomposition and
Multigrid
Iteration |
| 2/21 |
Krylov Subspace Methods |
|
Some considerations for
direct matrix
solution |
| 2/26 |
Introduction to Time
Dependent
Conduction |
2/28
|
More Time Dependent
Conduction, (also check this link to Slides)
|
3/4
|
Review for Exam |
| 3/6 |
More Stability
Analysis |
3/11, 3/13
|
Spring
Break
|
| 3/18, 3/20 |
The Advection-Diffusion
Equation |
| 3/25 |
QUICKEST and effects of Source Terms |
| 3/27 |
Quantifying Numerical Diffusion
Wiggles |
4/1
|
Full Flow Equation Set |
4/3
|
Use
of Numerically Generated
Jacobians |
4/8
|
A sample testbed
program |
4/10
|
Non-orthogonal
Grids |
4/15, 4/17
|
Use of
Overset Grids in Computational Fluid Dynamics (presented by Dr.
Eric Paterson)
|
| 4/22 |
Final Project Discussions |
4/24, 4/29
|
Application to Multi-phase and/or reacting flow |
5/1
|
Semester Summary |
|
Review
for the Second Exam
|