Version 3 (modified by 6 years ago) ( diff ) | ,
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Dealing with super-critical exterior inward flows
- Want to find steady state solution interior of super-critical boundary point
- Problem is that none exist that connect to the exterior point with the adiabatic EOS
- Would like interior solution to be steady state and inflowing
- This constrains the velocity and sound speed to give critical (or sub-critical) Bondi solutions
- The density can be arbitrary.
- This interface can therefore generate three waves
- We would like there to be no inward waves - so only a right moving shock or rarefaction.
Single Shock
- For shocks, the mach number is the only 'free' parameter.
- There is a lower limit for the mach number so that the inward solution is critical (or subcritical).
- And there is an upper limit for the mach number if we require the flow to remain inward.
- As the shocks move, the post shock values do not fill in the Bondi curve - nor do they satisfy the jump conditions for a single shock. Instead a rarefaction forms
This shows the evolution of a run in 1D to verify the shock jump conditions
And here is the same run but in 3D with the interior and exterior profiles
And here is a run where the initial post-shock conditions are held fixed (to suppress any interior waves)
As the shock moves outwards, the upstream values seen by the shock change - which cause the downstream values to change - but they do not continue to lie along the steady state Bondi curve. This leads to additional waves to form in the post shock flow.
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