Convergence curves for the wave propagating solution in the corona for t = 200 s and a period T0 = 20 s. Left panel: low-amplitude wave (A0 = 1 cm s−1) and right panel: moderate-amplitude wave (A0 = 1000 cm s−1). The blue line with circles shows the L1-norm of the vertical velocity component error for the standard second order MUSCL-Hancock scheme (linear reconstruction), and the red line with crosses corresponds to the same scheme with local hydrostatic reconstruction.
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