Fig. 1

Top: diffusion of a pressure step function as a function of position at t = 9.3 × 10-4 (black), t = 1.9 × 10-3 (red), t = 5.6 × 10-3 (blue) for the simulation (symbols) and the analytic solution (solid lines). The extra levels of refinement are indicated as dashed lines. Bottom: relative errors of the simulation with respect to the analytic solution.
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