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Dynamic behaviors of the errors between systems (4.1) and (4.3) with differential diffusion coefficients and differential diffusion space are shown in Figures 5 and 6. Figure 5 Asymptotic behaviors of the synchronization errors with differential diffusion coefficients.
Figure 6 Asymptotic behaviors of the synchronization errors with differential diffusion space.
Furthermore, it is shown that the differential diffusion effects are strong in the near field.
Four configuration test cases are considered: neglecting differential diffusion (Cases 1 and 2), considering differential diffusion (Case 3) and considering differential diffusion but neglecting molecular transport of H and H2 (Case 4).
Issues of spatial resolution, differential diffusion, and LES validation are discussed, and perspectives on current research challenges are offered.
Analysis of the conditional statistics of the differential diffusion parameter supports this conclusion, though some evidence of differential diffusion is observed.
A differential diffusion number based on the gradient of residence times is proposed, in an attempt to globally quantify differential diffusion effects in burners.
The sensitivity to differential diffusion is carefully addressed and a rotation technique is proposed, to allow for using score-PCA with differential diffusion.
The model includes a detailed chemical mechanism, differential diffusion, buoyancy, and radiative losses.
Differential diffusion effects are hard to capture to a satisfactory level.
Differential diffusion effects are enhanced by negative curvature values and suppressed by positive curvature values.
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