AAE HM) m 5 (9%,;
Problem 1
The linear Burger equation is given by
(9n 4 0811, (9215
- = 1/
81. 81 60:2
The discretization for the above PDE is
+1 , n+1 _ n+1 n+1 _ n+1 , n+1
in ll _ v a? 11 u? 2U? + ll1 1+1 uil ui-H 2% + uil
M (l 6) c + 1/ +0 0 +

Kilian Cooley
AAE 5 1 2
4/8/2013
Homework 6
Formulation of the Problem
We solve for the stream function P in a converging-diverging nozzle. The geometry of the walls
and the inlet velocity are known, and the stream function satises Laplaces equation
V21:

AA1E 512
Homework Set 6
Due Date: Monday, April 13, 2015
Consider incompressible potential flow in a 2-D converging-diverging nozzle governed by
2
=0
where is the stream function. The geometry of the 2-D nozzle is given in the figure below,
where A=0, B=

4/30/2015
AAE 512 Computational Aerodynamics
Instructor: Tom I-P. Shih, School of Aero&Astro, Purdue
Lecture 22: Summary
TOM SHIH, tomshih@purdue.edu
What is CFD?
CFD is a branch of computational physics, where
theory + numerical methods + computers
are

1/21/2015
Spring 2015: AAE 512 Computational Aerodynamics
Instructor: Tom I-P. Shih, School of Aero&Astro, Purdue
Lecture 3: Building Blocks of CFD
Overview of ODEs
IVP (time-like) & BVP (space like)
Initial Value Problems (IVP)
multi-step vs. multi-sta

1/12/2015
Spring 2015: AAE 512 Computational Aerodynamics
Instructor: Tom I-P. Shih, School of Aero & Astro, Purdue
Lecture 1: Preliminaries
How do we solve problems in engineering?
What is CFD?
What does CFD involve?
Objective of Course
A Challenge!

Samuel Otto
AAE 512 HW #7
(1) Describe the Problem
In this problem, we are asked to find the steady state flow solution within a given nozzle
geometry having solid, adiabatic walls and specified inflow and outflow boundary conditions. The gas
under consid