Is a direct numerical simulation (DNS) of Navier-Stokes equations with small enough grid spacing and time-step definitely reliable/correct?

Published in Journal of Ocean Engineering and Science, 2024

This work raises a fundamental question about the traditional trust placed in Direct Numerical Simulation (DNS). Through rigorous comparisons, it questions whether merely reducing grid spacing and time-step is sufficient to guarantee the reliability of Navier-Stokes simulations in chaotic regimes.

Recommended citation: Qin, S., Yang, Y., Huang, Y., Mei, X., Wang, L. & Liao, S. (2024). "Is a direct numerical simulation (DNS) of Navier-Stokes equations with small enough grid spacing and time-step definitely reliable/correct?" Journal of Ocean Engineering and Science. 9(3), 293-310.
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