American Institute of Mathematical Sciences

Advanced
  • Previous Article
    The asymptotic behavior of a population equation with diffusion and delayed birth process
  • DCDS-B Home
  • This Issue
  • Next Article
    Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients: Analytical results
June  2007, 7(4): 717-734. doi: 10.3934/dcdsb.2007.7.717

Multiresolution analysis for 2D turbulence. part 2: A physical interpretation

Patrick Fischer 1, , Charles-Henri Bruneau 1, and  Hamid Kellay 2,

1. 

Université Bordeaux 1, IMB, CNRS UMR 5466, INRIA projet MC2, 351, Cours de la Libération, 33405 Talence Cedex, France
2. 

Université Bordeaux 1, CPMOH, CNRS UMR 5798, 351, Cours de la Libération, 33405 Talence Cedex, France

Received  July 2006 Revised  December 2006 Published  March 2007

Multiresolution methods such as the wavelet packets or the cosine packets are more and more used in physical applications and in particular in two-dimensional turbulence. The numerical results of the first part of this paper have shown that the wavelet packets decomposition is well suited for studying this kind of problem: the visualization of the vorticity field is better, without any artefacts, than the visualization with the cosine packets filtering. The current second part of the paper is devoted to the physical interpretation of the filtered fields obtained in the first part. Energy and enstrophy spectra as well as energy and enstrophy fluxes are computed to determine the role of each filtered field with respect to the cascades.
Keywords: Wavelets, 2D turbulence..
Mathematics Subject Classification: 65T60,76F6.
Citation: Patrick Fischer, Charles-Henri Bruneau, Hamid Kellay. Multiresolution analysis for 2D turbulence. part 2: A physical interpretation. Discrete and Continuous Dynamical Systems - B, 2007, 7 (4) : 717-734. doi: 10.3934/dcdsb.2007.7.717
[1]

Patrick Fischer. Multiresolution analysis for 2D turbulence. Part 1: Wavelets vs cosine packets, a comparative study. Discrete and Continuous Dynamical Systems - B, 2005, 5 (3) : 659-686. doi: 10.3934/dcdsb.2005.5.659
[2]

Ka Kit Tung, Wendell Welch Orlando. On the differences between 2D and QG turbulence. Discrete and Continuous Dynamical Systems - B, 2003, 3 (2) : 145-162. doi: 10.3934/dcdsb.2003.3.145
[3]

S. Danilov. Non-universal features of forced 2D turbulence in the energy and enstrophy ranges. Discrete and Continuous Dynamical Systems - B, 2005, 5 (1) : 67-78. doi: 10.3934/dcdsb.2005.5.67
[4]

Marcel Lesieur. Two-point closure based large-eddy simulations in turbulence. Part 2: Inhomogeneous cases. Discrete and Continuous Dynamical Systems, 2010, 28 (1) : 227-241. doi: 10.3934/dcds.2010.28.227
[5]

Nusret Balci, Ciprian Foias, M. S Jolly, Ricardo Rosa. On universal relations in 2-D turbulence. Discrete and Continuous Dynamical Systems, 2010, 27 (4) : 1327-1351. doi: 10.3934/dcds.2010.27.1327
[6]

Eleftherios Gkioulekas, Ka Kit Tung. On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence. Discrete and Continuous Dynamical Systems - B, 2005, 5 (1) : 103-124. doi: 10.3934/dcdsb.2005.5.103
[7]

Gianluca Crippa, Elizaveta Semenova, Stefano Spirito. Strong continuity for the 2D Euler equations. Kinetic and Related Models, 2015, 8 (4) : 685-689. doi: 10.3934/krm.2015.8.685
[8]

Bernd Kawohl, Guido Sweers. On a formula for sets of constant width in 2d. Communications on Pure and Applied Analysis, 2019, 18 (4) : 2117-2131. doi: 10.3934/cpaa.2019095
[9]

Julien Cividini. Pattern formation in 2D traffic flows. Discrete and Continuous Dynamical Systems - S, 2014, 7 (3) : 395-409. doi: 10.3934/dcdss.2014.7.395
[10]

Géry de Saxcé, Claude Vallée. Structure of the space of 2D elasticity tensors. Discrete and Continuous Dynamical Systems - S, 2013, 6 (6) : 1525-1537. doi: 10.3934/dcdss.2013.6.1525
[11]

Igor Kukavica, Amjad Tuffaha. On the 2D free boundary Euler equation. Evolution Equations and Control Theory, 2012, 1 (2) : 297-314. doi: 10.3934/eect.2012.1.297
[12]

Brian Ryals, Robert J. Sacker. Global stability in the 2D Ricker equation revisited. Discrete and Continuous Dynamical Systems - B, 2017, 22 (2) : 585-604. doi: 10.3934/dcdsb.2017028
[13]

Boling Guo, Yongqian Han, Guoli Zhou. Random attractor for the 2D stochastic nematic liquid crystals flows. Communications on Pure and Applied Analysis, 2019, 18 (5) : 2349-2376. doi: 10.3934/cpaa.2019106
[14]

María J. Martín, Jukka Tuomela. 2D incompressible Euler equations: New explicit solutions. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4547-4563. doi: 10.3934/dcds.2019187
[15]

Leonardo Kosloff, Tomas Schonbek. Existence and decay of solutions of the 2D QG equation in the presence of an obstacle. Discrete and Continuous Dynamical Systems - S, 2014, 7 (5) : 1025-1043. doi: 10.3934/dcdss.2014.7.1025
[16]

Yuri N. Fedorov, Luis C. García-Naranjo, Joris Vankerschaver. The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation. Discrete and Continuous Dynamical Systems, 2013, 33 (9) : 4017-4040. doi: 10.3934/dcds.2013.33.4017
[17]

Theodore Kolokolnikov, Juncheng Wei. Hexagonal spike clusters for some PDE's in 2D. Discrete and Continuous Dynamical Systems - B, 2020, 25 (10) : 4057-4070. doi: 10.3934/dcdsb.2020039
[18]

Joshua Hudson, Michael Jolly. Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Journal of Computational Dynamics, 2019, 6 (1) : 131-145. doi: 10.3934/jcd.2019006
[19]

Makram Hamouda, Chang-Yeol Jung, Roger Temam. Boundary layers for the 2D linearized primitive equations. Communications on Pure and Applied Analysis, 2009, 8 (1) : 335-359. doi: 10.3934/cpaa.2009.8.335
[20]

A. Rousseau, Roger Temam, J. Tribbia. Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity. Discrete and Continuous Dynamical Systems, 2005, 13 (5) : 1257-1276. doi: 10.3934/dcds.2005.13.1257

2020 Impact Factor: 1.327

Tools

Metrics

  • PDF downloads (117)
  • HTML views (0)
  • Cited by (1)

Other articles
by authors

[Back to Top]

Copyright © 2022 American Institute of Mathematical Sciences | Privacy Policy