# 2D Euler equations - Periodic boundary conditions

## Problem description

Circular shock-waves expand and interact in open space. This example demonstrates that AMROC can handle even multiple periodic boundary conditions correctly. See three-dimensional analogue.

### 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=0.84
- AMR-computation with a coarse grid of 130x130 cells

2 grid levels:

- Calculation of 218 time steps
- 1 levels with refinement factor 2 is used.
- Finest level corresponds to 260x260 grid (67.8 K cells)

3 grid levels:

- Calculation of 253 time steps
- 2 levels with refinement factor 2 and 4 are used .
- Finest level corresponds to 1040x1040 grid (1.08 M cells)

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RalfDeiterding - 05 Dec 2004