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This problem was originally used by Woodward and Colella (1984) to compare the performance of several different hydrodynamical methods on problems involving strong, thin shock structures.

The initial conditions consist of two parallel, planar flow discontinuities. Reflecting boundary conditions are used. The density in the left, middle, and right portions of the grid (r_L, r_M, and r_R, respectively) is unity; everywhere the velocity is zero. The pressure is large to the left and right and small in the center:

pL = 1000

pM = 0.01

pR = 100

The equation of state is that of a perfect gas with g=1.4.

We have run FLASH 1.0 on this problem using maximum levels of refinement between 2 (corresponding to a finest zone size of 1/16) and 10 (zone size 1/4096).

Plots

Density and velocity as functions of time in the 10-level run (GIF, Postscript)

Convergence rate of density, pressure, and total energy (GIF, Postscript)

References
Woodward, P. and Colella, P. 1984, J. Comp. Phys., 54, 115

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