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Fig. 4

image

Signal-to-noise ratios SN of I (above) and II (below) representing the ratio of rms signal to rms numerical noise σmeas, for analytical model u1 (which has non-zero invariants) in Eq. (13), sampled by realisations of N = 1283 particles drawn from a uniform spatial random distribution for 8 ≤ nDTFE ≤ 64. The signal is negligibly small for nDTFE = 16, 128 for nx = 8, 64, respectively,since the test functions are sinusoidal and in phase with the box.

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