Performance of high-order Godunov-type methods in simulations of astrophysical low Mach number flows

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Volume 686 (June 2024)

A&A, 686 (2024) A34

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Table 2

Effective resolution N_eff(N_x) as defined in in Sec. 3.2 for all of the 18 Godunov-type methods tested in our study on grids with N_x = 128 and N_x = 256 cells per dimension.

128³	RUSANOV	HLLC	LHLLC
LIN	6.21	14.45	24.68
LIN+VL	5.24	13.53	21.97
PAR	7.04	16.68	29.05
PPM84	10.62	24.15	31.47
PPM08	14.21	28.42	33.85
PSH	20.47	37.24	49.22

256³	RUSANOV	HLLC	LHLLC

LIN	5.47	12.61	23.30
LIN+VL	4.38	11.08	19.75
PAR	6.35	14.28	26.16
PPM84	10.10	21.23	29.06
PPM08	13.55	27.00	32.02
PSH	19.90	35.08	47.00

Notes. Here, all numbers are given as a percentage of the grid resolution N_x for an easier comparison between different grids. In this metric, the rescaled effective resolution of the reference run (PAR + LHLLC + 512³) is 24.43.

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