Changes between Version 2 and Version 3 of u/johannjc/scratchpad27
- Timestamp:
- 10/16/18 11:16:22 (6 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
u/johannjc/scratchpad27
v2 v3 1 == Dealing with super critical exterior inward flows ==1 == Dealing with super-critical exterior inward flows == 2 2 1. Want to find steady state solution interior of super-critical boundary point 3 2. Problem is that none exist withadiabatic EOS3 2. Problem is that none exist that connect to the exterior point with the adiabatic EOS 4 4 3. Would like interior solution to be steady state and inflowing 5 4. This constrains the velocity and sound speed to give critical (or sub-critical) values for xi and u6 5. And the density can alsobe arbitrary.7 6. This interface can therefore generate three waves (with a shock/rarefaction, contact, and shock/rarefaction)5 4. This constrains the velocity and sound speed to give critical (or sub-critical) Bondi solutions 6 5. The density can be arbitrary. 7 6. This interface can therefore generate three waves 8 8 7. We would like there to be no inward waves - so only a right moving shock or rarefaction. 9 9 … … 13 13 1. There is a lower limit for the mach number so that the inward solution is critical (or subcritical). 14 14 1. And there is an upper limit for the mach number if we require the flow to remain inward. 15 1. 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 forms15 1. 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 16 16 17 17 18 This shows the evolution of a run in 1D to verify the shock jump conditions 18 19 20 [[Image(Image2.png,width=400)]] 21 22 23 And here is the same run but in 3D with the interior and exterior profiles 24 25 [[Image(Image3.png,width=400)]] 26 27 28 And here is a run where the initial post-shock conditions are held fixed (to suppress any interior waves) 29 30 [[Image(Image1.png,width=400)]] 31 32 33 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. 34