Blockstructured Adaptive Mesh Refinement in object-oriented C++

## 2D Euler equations - Forward facing step

Problem description Results: 2 Levels 3 Levels

A stationary mach 3 flow hits a rectangular step. A stable shock-wave pattern with a characteristic mach-stem top of the corner develops after a few time units. This well-known test problem problem demonstrates AMROC's capabilities for multiblock domains. No special entropy correction is applied to cells at the corner. Instead, a numerical method with higher numerical dissipation is chosen to obtain a stable solution.

## Initial / Boundary Conditions

## Numerical Simulation

- Two-dimensional Euler-equations for an ideal gas (Air with gamma=1.4)
- Dimensional splitting, Van Leer solver, MUSCL variable reconstruction with Van Albada limiter
- Calculation with CFL-No. 0.95 to time t=4.0
- AMR-computation with a coarse grid of 120
x40 cells2 grid levels:

- Calculation of 703 time steps
- 1 levels with refinement factor 2 is used .
- Finest level corresponds to 240
x80 grid (19 K cells)3 grid levels:

- Calculation of 317 time steps
- 2 levels with refinement factor 2 and 4 are used .
- Finest level corresponds to 960
x320 grid (307 K 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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