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Table 3

Mean wall-clock time spent by the program to advance the solution by one time step with RK3 in a single cell of the computational grid, in units of µs.

1283 RUSANOV HLLC LHLLC
LIN 1.47 1.68 1.70
LIN+VL 1.57 1.80 1.89
PAR 1.47 1.74 1.78
PPM84 4.12 4.30 4.31
PPM08 3.57 3.75 3.83
PSH 2.01 2.36 2.41

2563 RUSANOV HLLC LHLLC

LIN 1.60 1.73 1.77
LIN+VL 1.73 1.87 1.88
PAR 1.60 1.81 1.86
PPM84 4.23 4.40 4.47
PPM08 3.79 4.03 4.00
PSH 2.24 2.47 2.52

Notes. The numbers provided in the tables are averages of five measurements, each of which is obtained by evolving the setup described in Sec. 3.2 for 100 steps. Relative errors in the averages (in the sense of 1σ) are smaller than 2% in all cases. Every simulation run for this analysis is MPI parallelized using grids with 323 cells per task. Computations are performed on 2.3 GHz Intel Xeon, Skylake-based processors.

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