In the discussion of Computational Fluid Dynamics, Using your computer program from problem 12.1, involving a normal shock wave inside the nozzle. (Again, do not be surprised if you have difficulty, because the conservation form of the equations with artificial viscosity is usually employed for this type of flow. See Computational Fluid Dynamics: The Basics with Applications, for a detailed discussion of the CFD solution of this type of flow.)

Data From Problem 12.1:

Consider a convergent-divergent nozzle of length \(L\) with an area-ratio variation given by \(A / A^{*}=1+10|x / L|\), where \(-0.5 \leq x / L \leq 0.5\). Assume quasi-one-dimensional flow and a calorically perfect gas with \(\gamma=1.4\).