2D Euler equations - Ramp

Problem description

This well-know example has been inspired by studies of planar shock-waves being reflected from wedges. A self-similar flow with a triple-point between incident shock and reflecting wall occurs. This example uses time-dependent physical boundary conditions at the upper boundary.

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=0.09
• AMR-computation with a coarse grid of 250x110 cells

2 grid levels:

• Calculation of 247 time steps
• 1 levels with refinement factor 2 is used.
• Finest level corresponds to 500x220 grid (0.11 M cells)

3 grid levels:

• Calculation of 263 time steps
• 2 levels with refinement factor 2 and 4 are used.
• Finest level corresponds to 2000x880 grid (1.76 M cells)

Reference: P. Woodward, P Colella, The Numerical Simulation of Two-Dimensional Fluid Flow with Strong Shocks, Journal of Computational Physics 54, 115.173 (1984)

Results: 2 Levels / 3 Levels

-- RalfDeiterding - 05 Dec 2004