Direct numerical simulation (DNS) is a technique that directly solves the fluid Navier-Stokes equations with high spatial and temporal resolutions, which has driven much research regarding the nature of turbulence. For high-Reynolds number (Re) incompressible turbulence of particular interest, where the nondimensional Re characterizes the flow regime, the application of DNS is hindered by the fact that the numerical grid size (i.e., the memory requirement) scales with Re3, while the overall computational cost scales with Re4. Recent studies have shown that developing efficient parallel methods for heterogeneous many-core systems is promising to solve this computational challenge.
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Xie et al. (2024) studied this question.
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