Intersection angles for all recent 2D Mach stem runs

As a reminder, the purpose of this continued 2D study is to find/verify the maximum intersection angle for Mach stem formation. My previous paper focused on the minimum angle.

Below is a table of the critical angles for a few cases of gamma.

gamma Min Angle Max Angle
5/3 37.38 41.81
1.4 41.65 58.05
1.2 47.67 69.73
1.01 68.73 85.92

I did a total of 11 runs with either gamma = 5/3 or 1.4. The initial intersection angle is controlled by changing the clump separation distance, and thus the minimum and maximum critical angles can be tested. Below is a useful table showing which runs exhibited Mach stems. The "Predicted" column is what we expect just based on the angle, and the "Actual" column is what we see from the simulations.

run gamma separation Predicted angle Actual angle Predicted result Actual result
A 5/3 13 33.81 45.73 regular reflection tiny Mach stem, practically regular reflection
B 5/3 12 35.08 41.55 regular reflection stable Mach stem
C 5/3 11 36.59 42.78 regular reflection stable Mach stem
D 5/3 10 38.40 39.80 Mach stem stable Mach stem
E 1.4 6.5 38.97 31.75 regular reflection regular reflection
F 1.4 5.5 42.84 34.79 Mach stem stable Mach stem
G 1.4 5 45.16 32.38 Mach stem stable Mach stem
H 1.4 4.5 47.77 39.05 Mach stem transient Mach stem
I 1.4 4.25 49.20 31.81 Mach stem transient Mach stem
J 1.4 4 50.73 34.88 Mach stem transient Mach stem
K 1.4 3 57.87 39.66 Mach stem single bow

The gamma = 5/3 runs:

movie​

The gamma = 1.4 runs:

d = 4, 4.25, 4.5, 5.5 movie​

d = 3, 4, 5.5, 6.5 movie​

d = 3, 4 movie​

d = 5.5 movie​

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