Rectangle diagonal

This test is a 2D Cartesian test case with advection of a rectangle of high-density air into low-density air environment. The computation uses the AMR technique of [SPD19]. This test is referenced in ./libTests/referenceTestCases/euler/2D/transports/rectangleDiagonal/. A sketch of the initial conditions for this test is presented in Fig. 43. The corresponding uncommented line in ECOGEN.xml is:

<testCase>./libTests/referenceTestCases/euler/2D/transports/rectangleDiagonal/</testCase>

Fig. 43 Initial conditions for the 2D, single-phase transport test case.

The initial characteristics of the run are:

Characteristic	Value
dimensions	1 m x 1 m
initial mesh size	50 x 50
AMR max level	2
rectangle position	0.2 m, 0.2 m
boundary conditions	non-reflecting
final solution time	0.36 ms
solution printing frequency	0.036 ms
precision	2nd order (superbee)

Because of the adaptative mesh refinement, the final number of computational cells is 5383. Results are shown in Fig. 44. The left picture shows the evolution of the mesh during the simulation (red color is for high gradients of density). Upper right picture represents density contours and lower right picture is to check for constant pressure preservation along the diagonal.

Fig. 44 Advection of a high-density rectangle of air. Visualization using Paraview software.