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Fractal Interpolation has been proposed in the literature as an efficient wayto construct closure models for the numerical solution of coarse-grainedNavier-Stokes equations. It is based on synthetically generating ascale-invariant subgrid-scale field and analytically evaluating its effects onlarge resolved scales. In this paper, we propose an extension of previous workby developing a multiaffine fractal interpolation scheme and demonstrate thatit preserves not only the fractal dimension but also the higher-order structurefunctions and the non-Gaussian probability density function of the velocityincrements. Extensive a-priori analyses of atmospheric boundary layermeasurements further reveal that this Multiaffine closure model has thepotential for satisfactory performance in large-eddy simulations. Thepertinence of this newly proposed methodology in the case of passive scalars isalso discussed

Synthetic turbulence, fractal interpolation, and large-eddy simulation