Multifractal-cascade model for inertial and dissipation ranges based on the wavelet reconstruction method

Zhou L, Rauh C, Delgado A (2015)


Publication Type: Journal article

Publication year: 2015

Journal

Publisher: American Physical Society

Book Volume: 92

Pages Range: 013010

Journal Issue: 1

DOI: 10.1103/PhysRevE.92.013010

Abstract

The discrete wavelet is introduced to construct the turbulent velocity fields. The simple binary cascade model p model is served as the inertial range model for velocity increments. The dissipation model, which follows Foias [Phys. Fluids A 2, 464 (1990)PFADEB0899-821310.1063/1.857744] takes the form of exp(-gk). The length of inertial and dissipation ranges is computed according to the different construction levels. Based on the binary cascade theory and the proposed dissipation model, the Reynolds number regarding to the cascade process can be estimated. The dissipation rate calculated from the proposed model not only agrees with the existing experiment data, but also suggests that the dissipation rate is not an independent variable with respect to the Reynolds number.

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How to cite

APA:

Zhou, L., Rauh, C., & Delgado, A. (2015). Multifractal-cascade model for inertial and dissipation ranges based on the wavelet reconstruction method. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92(1), 013010. https://doi.org/10.1103/PhysRevE.92.013010

MLA:

Zhou, Long, Cornelia Rauh, and Antonio Delgado. "Multifractal-cascade model for inertial and dissipation ranges based on the wavelet reconstruction method." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 92.1 (2015): 013010.

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