2D Euler equations - Explosion in a Box

Problem description

A circular shock-wave expands in an enclosed box. The reflected shocks interact in a complex manner. This example demonstrates basic adaptive functionality. See three-dimensional analogue.

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=0.5
• AMR-computation with a coarse grid of 150x150 cells

2 grid levels:

• Calculation of 196 time steps
• 1 levels with refinement factor 2 is used .
• Finest level corresponds to 300x300 grid (90 K cells)

3 grid levels:

• Calculation of 199 time steps
• 2 levels with refinement factor 2 and 4 are used .
• Finest level corresponds to 1200x1200 grid (1.4 M cells)

Results: 2 Levels / 3 Levels / Variation of Distribution / Variation of GuC-Factor

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-- RalfDeiterding - 04 Dec 2004