Square water explosion

This case is a 2D Cartesian test case. The square domain is composed of low-pressure air and high-pressure water is present at its center. Initial conditions are shown in Fig. 71. This test is referenced in ./libTests/referenceTestCases/PUEq/2D/squareWaterExplosion/. The corresponding uncommented line in ECOGEN.xml is:

<testCase>./libTests/referenceTestCases/PUEq/2D/squareWaterExplosion/</testCase>
_images/squareWaterExplosionIni.png

Fig. 71 Initial condition before explosion.

The initial characteristics of the run are:

Characteristic

Value

dimension

1 m

Initial mesh size

80 x 80

boundary conditions

non-reflecting

final solution time

10 ms

solution printing frequency

0.2 ms

precision

Minmod

Results are shown in Fig. 72. There is a pressure gradient between the two regions. When the interface between the blue (air) and red (water) regions disapears, shock waves propagate in the air and the red region relaxes. This causes an increase in pressure inside the blue region.

With the help of the density evolution, shown in Fig. 72 through a Schlieren visualization, it is easy to observe that there is an explosion between the water and the air regions. The shock caused by the explosion propagates outward. After that, one can observe from the center (where the square was) phenomena reminiscent of Richtmyer–Meshkov instabilities.

_images/squareWaterExplosionAnim.gif

Fig. 72 Water explosion over time. Schlieren visualization using Paraview software.