Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation

Table 2

Error and convergence rates for Leray-deconvolution with 𝐽=1 for the Taylor-Green vortex with Re=10,000, 𝛼=√ℎ, and 𝛿=√⁴ℎ. Note the convergence rate is approaching 2 as predicted by (5.21).

m (=1/h)	‖𝑢−𝑤^ℎ‖∞,0	Rate	‖∇(𝑢−𝑤^ℎ)‖2,0	Rate
20	0.023384		1.070400
40	0.009739	1.264	0.640360	0.741
60	0.004997	1.646	0.357779	1.436
80	0.002899	1.892	0.212560	1.810
100	0.001915	1.858	0.136724	1.977