Mathematical Techniques and Tools for Data Analysis and Modelling of Intermittent Structures


June 23 28, 2003



The workshop brought together 35 scientists from 7 different countries. The program consisted of 8 three hour presentations (one in the morning and one in the afternoon) introducing the participants to mathematical techniques to extract structural information from complex fluid flows. The lectures and lecturers were:


         Proper Orthogonal Decomposition (J. Delville)

         Linear Stochastic estimation (S. Balachandar)

         Continuous Wavelets and Data Analysis (J. Lewalle)

         Flow topology (J.C.R. Hunt)

         Wavelet Methods for Coherent Vortex Extraction (M. Farge)

         Localized Structures in Laminar and Turbulent Flows (T. Bohr)

         The Fractal Structure of Turbulent Diffusion (C. Vassilicos)

         Intermittency and Similarity in Turbulence (W. van de Water


These analysis techniques discussed included proper orthogonal decomposition, linear stochastic estimation, wavelet transforms, correlation and structure functions. The talks stimulated lively discussions about the applications and limitations of the particular techniques. One of the main merits of the workshop was to bring together scientists from engineering, physics and mathematical backgrounds to encourage interdisciplinary exchanges and promote new research collaborations.


The talks were followed by practical sessions, where the participants could apply the techniques to experimental and numerical data sets using the computer facilities of the Lorentz Center. These exercises were particularly beneficial for the younger and less experienced participants and gave them an opportunity to familiarize themselves with the techniques while being helped and supervised by some of the leading experts in the field. We found that the facilities and the open and friendly atmosphere of the Lorentz Center are particularly suited for this kind of work.


We would like to acknowledge the funding by the Lorentz Center, Ercoftac and the J.M. Burgers Centre. Last but not least we would like to thank the members of the Lorentz Center for their help and hospitality.


F.T.M. Nieuwstadt (TU Delft, The Netherlands)

J.C.R. Hunt (University College London, UK)

J. Lewalle (Syracuse University, USA)