2D Euler equations - Backward facing step

Problem description

A shock-wave diffracts over a 90 degree sharp corner. This uncritical example has been used intensively as a standard benchmark in the past.

Initial / Boundary Conditions

Numerical Simulation

• Two-dimensional Euler-equations for an ideal gas (Air with gamma=1.4)
• Dimensional splitting, Roe solver, MUSCL variable reconstruction with Van Albada limiter
• Calculation with CFL-No. 0.95 to time t=0.75
• AMR-computation with a coarse grid of 300x300 cells

2 grid levels:

• Calculation of 251 time steps
• 1 levels with refinement factor 2 is used .
• Finest level corresponds to 600x600 grid (360 K cells)

3 grid levels:

• Calculation of 255 time steps
• 2 levels with refinement factor 2 and 4 are used .
• Finest level corresponds to 2400x2400 grid (5.76 M cells)

Reference: K. Takayama, O. Inoue, Shock wave diffraction over a 90 degree sharp corner, in Shockwaves 1, 301-312, (1991)

Results: 2 Levels / 3 Levels

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-- RalfDeiterding - 04 Dec 2004