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Towards implicit subgrid-scale modeling by particle methods

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Figure 1. Spectral numerical viscosity of (a)grid. (b)order central FD, −−−−−−− de-aliased spectral method, ·−·−·− 2nd- −··−··− 4th-order central FD, −−−− 2nd-order central FD with staggered −−−−−−− EDQNM theory [3], −−−− ALDM with optimized parameters [14].
Figure 3. Spectral numerical viscosity of the VIC method with M4.
Figure 4. Spectral numerical viscosity of the vortex method with a combination of M ′4, Λ3 andM4 with respective coefficients (a) c = (0.5, 0.5, 0.0), (b) c = (0.6, 0.4, 0.0), (c) c = (0.7, 0.3, 0.0),and (d) c = (0.599, 0.4, 0.001).
Figure 5. Decay of the kinetic energy of the 2D Taylor-Green vortex.
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