3D 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 two-dimensional analogue.

Initial / Boundary Conditions

Numerical Simulation

• Three-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. 0.9 to time t=0.5

AMR-computation with a coarse grid of 30x30x30 cells and 3 grid levels:

• Calculation of 38 time steps
• 2 levels with refinement factor 2 are used.

Comparative computation with a uniformly refined grid of 120x120x120 cells (1.73 Mcells):

• Calculation of 142 time steps

Results: 3 Levels

-- RalfDeiterding - 06 Dec 2004