Wavelet synthetic method for turbulent flow.
Based on the idea of random cascades on wavelet dyadic trees and the energy cascade model known as the wavelet p model, a series of velocity increments in two-dimensional space are constructed in different levels of scale. The dynamics is imposed on the generated scales by solving the Euler equation in the Lagrangian framework. A dissipation model is used in order to cover the shortage of the p model, which only predicts in inertial range. Wavelet reconstruction as well as the multiresolution analysis are then performed on each scales. As a result, a type of isotropic velocity field is created. The statistical properties show that the constructed velocity fields share many important features with real turbulence. The pertinence of this approach in the prediction of flow intermittency is also discussed.
Institute of Fluid Mechanics (LSTM), Friedrich-Alexander University of Erlangen-Nürnberg 91058, Germany.
Long
L
Zhou
Institute of Fluid Mechanics (LSTM), Friedrich-Alexander University of Erlangen-Nürnberg 91058, Germany.
Cornelia
C
Rauh
Institute of Fluid Mechanics (LSTM), Friedrich-Alexander University of Erlangen-Nürnberg 91058, Germany.
Antonio
A
Delgado