Shock tubes

Water–Air shock tube

A shock tube between a high-pressure chamber filled with water and a low-pressure chamber filled with air is released. Input files for this test are available in ./libTests/referenceTestCases/PUEq/1D/shockTubes/interfaceWaterAir/. The corresponding uncommented line in ECOGEN.xml is:

<testCase>./libTests/referenceTestCases/PUEq/1D/shockTubes/interfaceWaterAir/</testCase>

_images/schemaCI.png — Fig. 65 Initial condition for 1D water–air shock tube.

The initial characteristics of the run are:

Characteristic	Value
dimension	1 m
Initial mesh size	100 x 230
number of refinement level	4
diaphragm position	0.7 m
boundary conditions	non-reflecting
final solution time	0.240 ms
solution printing frequency	0.012 ms
precision	2nd order (VanLeer/THINC)

The AMR technique of [SPD19] is used with 4 refinement levels such that a maximum of 230 computational cells are used for this run.

_images/shockTubeWaterAir.gif — Fig. 66 Water–air shock tube. Visualization using Paraview software.

Epoxy–Spinel shock tube

This test deals with shocks in mixture of materials. Epoxy and spinel are supposed mixed such that caracteristic times for wave propagation and drag effects are very small, allowing to consider the mixture as evolving in mechanical equilibrium. Input files for this test are available in ./libTests/referenceTestCases/PUEq/1D/shockTubes/epoxySpinel/. The corresponding uncommented line in ECOGEN.xml is:

<testCase>./libTests/referenceTestCases/PUEq/1D/shockTubes/epoxySpinel/</testCase>

_images/schemaCI1.png — Fig. 67 Initial condition for mixture shock tube with epoxy and spinel.

The initial characteristics of the run are:

Characteristic	Value
dimension	1 m
Initial mesh size	200 x 237
number of refinement level	2
diaphragm position	0.6 m
boundary conditions	non-reflecting
final solution time	0.1 ms
solution printing frequency	0.025 ms
precision	2nd order (VanLeer)

_images/shockTubeEpoSpi.gif — Fig. 68 Mixture shock tube with expoxy and spinel. Visualization using Paraview software.

Other shock-tube test case

Another 1D shock-tube test is provided within the ECOGEN package and may be described in details later.

<testCase>./libTests/referenceTestCases/PUEq/1D/shockTubes/interfaceWaterAirNASG/</testCase>