Blockstructured Adaptive Mesh Refinement in object-oriented C++
2D Euler equations - RampProblem description Results: 2 Levels 3 Levels
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
- 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)
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last update: 6/1/04