title: Synthetic turbulence constructed by spatially randomized fractal interpolation.
abstract: A spatially randomized fractal interpolation algorithm to construct synthetic fields with statistical properties close to real turbulence is proposed. It improves the previous works on fractal interpolation so that the position mapping between large and small scales is chosen randomly and the stretching factors are drawn from any chosen random multiplier model. In particular, using different parameters of Log-Poisson model, synthetic fields with absolute scaling properties close to SL94 model (for fully developed turbulence), K41 model and MB2000 model (for magnetohydrodynamic turbulence) are obtained, respectively. To model real turbulence fields which do not obey absolute scaling laws but ESS scaling laws, a refined technique is added. It is shown that both the velocity structure functions and the moments of subgrid-scale stress can be precisely predicted when the scale invariance is broken.
authors.affiliation: State Key Laboratory of Turbulence and Complex Systems and College of Engineering, Peking University, Beijing 100871, People's Republic of China.
authors.forename: Ke-Qi
authors.initials: KQ
authors.lastname: Ding
authors.forename: Zhi-Xiong
authors.initials: ZX
authors.lastname: Zhang
authors.forename: Yi-Peng
authors.initials: YP
authors.lastname: Shi
authors.forename: Zhen-Su
authors.initials: ZS
authors.lastname: She