Changes between Version 2 and Version 3 of MachStems


Ignore:
Timestamp:
11/13/12 13:48:10 (12 years ago)
Author:
ehansen
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • MachStems

    v2 v3  
    11= Mach Stems =
     2
     3[[BR]]
     4== Stationary Clumps ==
     5This problem set up has bow shocks from two identical, stationary clumps.  I test different gammas and different separation distances.  To reduce computation, I am only using one clump with a reflecting wall on the lower r boundary to simulate the second clump's bow shock.  I also only simulate 1/4 of the clump due to symmetry.  In the context of this problem, critical separation distance is equivalent to 2 times the critical radius.
     6
     7Thinking in terms of critical radius versus critical angle can get confusing.  Traditionally, we think of mach stem formation in terms of critical angle.  Anything '''above''' this angle means a mach stem will form.  The critical angle corresponds to a critical radius, but now we must remember that anything '''below''' this radius means a mach stem will form.
    28
    39Below is a table of the resolutions used for all of the runs.  These were determined by keeping the proportions of the domain constant and shooting for a minimum of 32 cells per clump radius.  As a result of doing it this way, some runs will have higher resolution, but it basically stays between 32 and 38 cells per clump radius.  For the 'lower r boundary' column, crit = critical, acrit = above critical, bcrit = below critical.  Mach stems should form at crit and bcrit, but not at acrit.
     
    1622||= 1.1 =||= acrit =||= 12, 18 =||= 1.47, 2.205 =||= 32.65 =||
    1723||= 1.1 =||= bcrit =||= 10, 15 =||= 1.07, 1.605 =||= 37.38 =||
     24
     25[[BR]]
     26== One Moving Clump ==
     27
     28[[BR]]
     29== Colliding Bow Shocks ==