Introduction to CFD Assignment 6 — Boundary Conditions
 Question #1
Consider the following domain:
The freestream properties correspond to $M_\infty=2$, $T_\infty=300$ K, $P_\infty=1$ atm, $\theta=30^\circ$ and the properties on the nodes at the iteration $n$ are as follows:
 Node $P^n$, atm $T^n$, K $u^n$, m/s $v^n$, m/s 1 1.0 300 400 -400 2 1.1 310 300 -300 3 1.1 310 300 -300 4 1.2 320 200 -300 5 1.2 330 200 -200 6 1.3 340 100 -200 7 1.3 340 100 -100 8 1.4 350 100 -100 9 1.4 360 100 -100
Knowing that the node spacing is constant, do the following:
 (a) Find the properties at iteration $n+1$ at node 1 using a 2nd degree polynomial to extrapolate the properties. (b) Find the properties at iteration $n+1$ at node 9 using a 2nd degree polynomial to extrapolate the properties.
Outline clearly what kind of boundary condition (subsonic inflow/outflow, supersonic inflow/outflow) you are choosing and why.
 04.28.17
 Question #2
Consider the following domain:
The freestream properties correspond to $M_\infty=0.7$, $T_\infty=300$ K, $P_\infty=1$ atm, $\theta=70^\circ$ and the properties on the nodes at the iteration $n$ are as follows:
 Node $P^n$, atm $T^n$, K $u^n$, m/s $v^n$, m/s 1 1.0 300 100 -80 2 1.1 330 130 -100 3 1.1 350 150 -130 4 1.2 380 170 -160
Knowing that the node spacing is constant, do the following:
 (a) Find the properties at iteration $n+1$ at node 1 using a 1st degree polynomial to extrapolate the properties.
Outline clearly what kind of boundary condition (subsonic inflow/outflow, supersonic inflow/outflow) you are choosing and why.
 Due on Thursday May 4th at 16:30. Do both questions.
 $\pi$