wiki:u/johannjc/scratchpad27

Version 1 (modified by Jonathan, 6 years ago) ( diff )

## Dealing with supercritical exterior inward flows ##

  1. Want to find steady state solution interior to super-critical point
  2. Problem is that none exist with adiabatic EOS
  3. Would like interior solution to be steady state and inflowing
  4. This constrains the velocity and sound speed to give critical (or sub-critical) values for xi and u
  5. And the density can also be arbitrary.
  6. This interface can therefore generate three waves (with a shock/rarefaction, contact, and shock/rarefaction)
  7. We would like there to be no inward waves - so only a right moving shock.
  8. The mach number of this outward moving shock - is the only 'free' parameter.
  9. There is a lower limit for the mach number so that the inward solution is critical (or subcritical).
  10. And there is an upper limit for the mach number if we require the flow to remain inward.

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