Introduction to CFD Assignment 6 — Boundary Conditions  
Question #1
Consider the following domain:
Q1.png  ./download/file.php?id=3472&sid=961f0a85685bb102d9dfc62258e3ab13  ./download/file.php?id=3472&t=1&sid=961f0a85685bb102d9dfc62258e3ab13
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
11.0300400-400
21.1310300-300
31.1310300-300
41.2320200-300
51.2330200-200
61.3340100-200
71.3340100-100
81.4350100-100
91.4360100-100
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:
Q2.png  ./download/file.php?id=3473&sid=961f0a85685bb102d9dfc62258e3ab13  ./download/file.php?id=3473&t=1&sid=961f0a85685bb102d9dfc62258e3ab13
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
11.0300100-80
21.1330130-100
31.1350150-130
41.2380170-160
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.
Make PDF
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