Articles | Volume 12, issue 1
https://doi.org/10.5194/acp-12-327-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/acp-12-327-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Quasi-geostrophic turbulence and generalized scale invariance, a theoretical reply
D. Schertzer
Université Paris-Est, Ecole des Ponts ParisTech, LEESU, Marne-la-Vallée, France
I. Tchiguirinskaia
Université Paris-Est, Ecole des Ponts ParisTech, LEESU, Marne-la-Vallée, France
S. Lovejoy
McGill U., Physics dept, Montreal, Canada
A. F. Tuck
Université Paris-Est, Ecole des Ponts ParisTech, LEESU, Marne-la-Vallée, France
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Cited
23 citations as recorded by crossref.
- Scaling properties of rainfall and desert dust in the Canary Islands I. Peñate et al. 10.5194/npg-20-1079-2013
- Multifractal vector fields and stochastic Clifford algebra D. Schertzer & I. Tchiguirinskaia 10.1063/1.4937364
- A Century of Turbulent Cascades and the Emergence of Multifractal Operators D. Schertzer & I. Tchiguirinskaia 10.1029/2019EA000608
- Stochastic modeling and performance monitoring of wind farm power production P. Milan et al. 10.1063/1.4880235
- Characterization of turbulence stability through the identification of multifractional Brownian motions K. Lee 10.5194/npg-20-97-2013
- Turbulence: Vertical Shear of the Horizontal Wind, Jet Streams, Symmetry Breaking, Scale Invariance and Gibbs Free Energy A. Tuck 10.3390/atmos12111414
- Scaling Relations and Self-Similarity of 3-Dimensional Reynolds-Averaged Navier-Stokes Equations A. Ercan & M. Kavvas 10.1038/s41598-017-06669-z
- The Future of Climate Modelling: Weather Details, Macroweather Stochastics—Or Both? S. Lovejoy 10.3390/meteorology1040027
- MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS D. SCHERTZER & S. LOVEJOY 10.1142/S0218127411030647
- Instantaneous variance scaling of AIRS thermodynamic profiles using a circular area Monte Carlo approach J. Dorrestijn et al. 10.5194/amt-11-2717-2018
- The fractal perimeter dimension of noctilucent clouds: Sensitivity analysis of the area–perimeter method and results on the seasonal and hemispheric dependence of the fractal dimension L. Brinkhoff et al. 10.1016/j.jastp.2014.06.005
- 3D trajectories and velocities of rainfall drops in a multifractal turbulent wind field A. Gires et al. 10.5194/amt-15-5861-2022
- Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators L. Abadias & P. Miana 10.1155/2019/4763450
- The temporal cascade structure of reanalyses and global circulation models J. Stolle et al. 10.1002/qj.1916
- A voyage through scales, a missing quadrillion and why the climate is not what you expect S. Lovejoy 10.1007/s00382-014-2324-0
- Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud? S. Lovejoy 10.5194/npg-30-311-2023
- On the stochastic parametrization of short‐scale processes C. Nicolis & G. Nicolis 10.1002/qj.3427
- Self-similarity in incompressible Navier-Stokes equations A. Ercan & M. Kavvas 10.1063/1.4938762
- The 2021 “Complex Systems” Nobel Prize: The Climate, With and Without Geocomplexity S. Lovejoy 10.1029/2021AV000640
- Scaling Up: Molecular to Meteorological via Symmetry Breaking and Statistical Multifractality A. Tuck 10.3390/meteorology1010003
- The horizontal space–time scaling and cascade structure of the atmosphere and satellite radiances J. Pinel et al. 10.1016/j.atmosres.2013.11.022
- Torque Fluctuations In The Framework Of A Multifractal 23/9-Dimensional Turbulence Model G. Fitton et al. 10.1088/1742-6596/555/1/012038
- A voyage through scales, a missing quadrillion and why the climate is not what you expect S. Lovejoy 10.1007/s00382-014-2324-0
20 citations as recorded by crossref.
- Scaling properties of rainfall and desert dust in the Canary Islands I. Peñate et al. 10.5194/npg-20-1079-2013
- Multifractal vector fields and stochastic Clifford algebra D. Schertzer & I. Tchiguirinskaia 10.1063/1.4937364
- A Century of Turbulent Cascades and the Emergence of Multifractal Operators D. Schertzer & I. Tchiguirinskaia 10.1029/2019EA000608
- Stochastic modeling and performance monitoring of wind farm power production P. Milan et al. 10.1063/1.4880235
- Characterization of turbulence stability through the identification of multifractional Brownian motions K. Lee 10.5194/npg-20-97-2013
- Turbulence: Vertical Shear of the Horizontal Wind, Jet Streams, Symmetry Breaking, Scale Invariance and Gibbs Free Energy A. Tuck 10.3390/atmos12111414
- Scaling Relations and Self-Similarity of 3-Dimensional Reynolds-Averaged Navier-Stokes Equations A. Ercan & M. Kavvas 10.1038/s41598-017-06669-z
- The Future of Climate Modelling: Weather Details, Macroweather Stochastics—Or Both? S. Lovejoy 10.3390/meteorology1040027
- MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS D. SCHERTZER & S. LOVEJOY 10.1142/S0218127411030647
- Instantaneous variance scaling of AIRS thermodynamic profiles using a circular area Monte Carlo approach J. Dorrestijn et al. 10.5194/amt-11-2717-2018
- The fractal perimeter dimension of noctilucent clouds: Sensitivity analysis of the area–perimeter method and results on the seasonal and hemispheric dependence of the fractal dimension L. Brinkhoff et al. 10.1016/j.jastp.2014.06.005
- 3D trajectories and velocities of rainfall drops in a multifractal turbulent wind field A. Gires et al. 10.5194/amt-15-5861-2022
- Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators L. Abadias & P. Miana 10.1155/2019/4763450
- The temporal cascade structure of reanalyses and global circulation models J. Stolle et al. 10.1002/qj.1916
- A voyage through scales, a missing quadrillion and why the climate is not what you expect S. Lovejoy 10.1007/s00382-014-2324-0
- Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud? S. Lovejoy 10.5194/npg-30-311-2023
- On the stochastic parametrization of short‐scale processes C. Nicolis & G. Nicolis 10.1002/qj.3427
- Self-similarity in incompressible Navier-Stokes equations A. Ercan & M. Kavvas 10.1063/1.4938762
- The 2021 “Complex Systems” Nobel Prize: The Climate, With and Without Geocomplexity S. Lovejoy 10.1029/2021AV000640
- Scaling Up: Molecular to Meteorological via Symmetry Breaking and Statistical Multifractality A. Tuck 10.3390/meteorology1010003
3 citations as recorded by crossref.
- The horizontal space–time scaling and cascade structure of the atmosphere and satellite radiances J. Pinel et al. 10.1016/j.atmosres.2013.11.022
- Torque Fluctuations In The Framework Of A Multifractal 23/9-Dimensional Turbulence Model G. Fitton et al. 10.1088/1742-6596/555/1/012038
- A voyage through scales, a missing quadrillion and why the climate is not what you expect S. Lovejoy 10.1007/s00382-014-2324-0
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