2D Euler equations - Shock-Bubble interaction

Problem description

A planar shock-wave hits a spere of lower density. Cylindrical symmetry is exploited by employing the two-dimensional cartesian Euler equations and incorporating additional terms by a fractional step method. This example demonstrates the usage of source terms and auxilary arrays.

Initial / Boundary Conditions

Numerical Simulation

• Two-dimensional Euler-equations for an ideal gas (Air with gamma=1.4)
• Wave propagation scheme with Minmod wave-limiter and transverse wave propagation
• Calculation with CFL-No. 0.8 to time t=0.2
• AMR-computation with a coarse grid of 300x100 cells

2 grid levels:

• Calculation of 341 time steps
• 1 levels with refinement factor 2 is used.
• Finest level corresponds to 600x200 grid (120 K cells)

3 grid levels:

• Calculation of 364 time steps
• 2 levels with refinement factor 2 and 4 are used.
• Finest level corresponds to 2400x800 grid (1.9 M cells)

Results: 2 Levels / 3 Levels

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-- RalfDeiterding - 05 Dec 2004