A multiaffine fractal interpolation scheme was developed. It was found to preserve not only the fractal dimensions but also the higher-order structure functions. The model was found to have the potential for satisfactory performance in large-eddy simulations. The pertinence of the methodology in case of passive scalars was also investigated.
|Original language||English (US)|
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||2 2|
|State||Published - Aug 2004|
Bibliographical noteFunding Information:
We thank Alberto Scotti, Charles Meneveau, Andrea Mazzino, Venugopal Vuruputur, and Boyko Dodov for useful discussions. The first author is indebted to Jacques Lévy-Véhel for his generous help. This work was partially funded by research grants to the principal investigators [NSF (ATM-0130394) and NASA (NAG5-12909, NAG5-13639) to E. F.-G.; NSF (EAR-0094200) and NASA (NAG5-10569, NAG5-11801) to F. P.-A.; and by the STC program of the National Science Foundation under agreement number EAR-0120914 (National Center for Earth-Surface Dynamics). S.B. was partially supported by the University of Minnesota]. All the computational resources were kindly provided by the Minnesota Supercomputing Institute. All this support is greatly appreciated.