Journal article

Publication year: 1997

Pages: 4263-4274

Journal: Physical Review E

Volume number: 56

Issue number: 4

ISSN: 1063-651X

DOI Link: https://doi.org/10.1103/PhysRevE.56.4263

Publisher: American Physical Society

Abstract: 
Due to the underlying hierarchical structure, spatial correlation functions calculated from multiplicative cascade models are not translationally invariant. A scheme is presented that restores translational invariance by averaging over the experimentally unknown spatial location of cascade realizations with respect to the observation window. The impact of this scheme on multiplier distributions for the energy dissipation field in fully developed turbulence is analyzed; only the experimental multiplier distribution is found to be invariant under a wide range of scales.

Harvard Citation style: Greiner, M., Giesemann, J. and Lipa, P. (1997) Translational invariance in turbulent cascade models, PHYSICAL REVIEW E, 56(4), pp. 4263-4274. https://doi.org/10.1103/PhysRevE.56.4263

APA Citation style: Greiner, M., Giesemann, J., & Lipa, P. (1997). Translational invariance in turbulent cascade models. PHYSICAL REVIEW E. 56(4), 4263-4274. https://doi.org/10.1103/PhysRevE.56.4263