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Volumn 36, Issue 11, 2010, Pages 1393-1403

On the simulation of continuous in scale universal multifractals, part I: Spatially continuous processes

Author keywords

Fractals; Multifractals; Numerical simulations; Scaling; Turbulence

Indexed keywords

CASCADE PROCESS; CONTINUOUS PROCESS; FINITE SIZE EFFECT; INTEGER POWER; MATHEMATICA; MULTIFRACTALS; NUMERICAL SIMULATION; PASSIVE SCALARS; POWER LAW SCALINGS; REALISTIC SIMULATION; ROCK DENSITY; SCALE RATIO; SCALING; SOLID EARTH; TIME SIMULATIONS; TURBULENT SYSTEMS; TWO-PART SERIES; UNIVERSAL MULTI-FRACTALS;

EID: 78149470600     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2010.04.010     Document Type: Article
Times cited : (41)

References (30)
  • 1
    • 42749104744 scopus 로고    scopus 로고
    • Synthetic turbulence, fractal interpolation and large-eddy simulations
    • Basu S., Foufoula-Georgiou E., Porté-Agel F. Synthetic turbulence, fractal interpolation and large-eddy simulations. Physical Review E 2004, 70:26310-26313.
    • (2004) Physical Review E , vol.70 , pp. 26310-26313
    • Basu, S.1    Foufoula-Georgiou, E.2    Porté-Agel, F.3
  • 2
    • 84984403649 scopus 로고
    • Bounded cascade clouds: albedo and effective thickness
    • Cahalan R. Bounded cascade clouds: albedo and effective thickness. Nonlinear Processes in Geophysics 1994, 1:156-167.
    • (1994) Nonlinear Processes in Geophysics , vol.1 , pp. 156-167
    • Cahalan, R.1
  • 4
    • 78149467130 scopus 로고    scopus 로고
    • "Multifractal Volatility" theory
    • Academic Press, New York
    • Calvet L.E., Fisher A.J. "Multifractal Volatility" theory. Forecasting and Pricing 2008, Academic Press, New York, 258pp.
    • (2008) Forecasting and Pricing , pp. 258
    • Calvet, L.E.1    Fisher, A.J.2
  • 5
    • 0029756261 scopus 로고    scopus 로고
    • Multifractal modelling and spatial statistics
    • Cheng Q., Agterberg F. Multifractal modelling and spatial statistics. Mathematical Geology 1996, 28:1-16.
    • (1996) Mathematical Geology , vol.28 , pp. 1-16
    • Cheng, Q.1    Agterberg, F.2
  • 7
    • 0001277608 scopus 로고
    • Local structure of turbulence in an incompressible liquid for very large Reynolds numbers. (English translation: Proceedings of the Royal Society A434, 9-17, 1991). In: Proceedings of the Academy of Sciences of the USSR, Geochemistry Section 30
    • Kolmogorov, A.N., 1941. Local structure of turbulence in an incompressible liquid for very large Reynolds numbers. (English translation: Proceedings of the Royal Society A434, 9-17, 1991). In: Proceedings of the Academy of Sciences of the USSR, Geochemistry Section 30, 299-303.
    • (1941) , pp. 299-303
    • Kolmogorov, A.N.1
  • 8
    • 0033541124 scopus 로고    scopus 로고
    • Multifractal properties of visible reflectance fields from basaltic volcanoes
    • Laferrière A., Gaonac'h H. Multifractal properties of visible reflectance fields from basaltic volcanoes. Journal of Geophysical Research 1999, 104:5115-5126.
    • (1999) Journal of Geophysical Research , vol.104 , pp. 5115-5126
    • Laferrière, A.1    Gaonac'h, H.2
  • 9
    • 0000113294 scopus 로고
    • Fractal modeling of speech signals
    • Levy-Véhel J., Daoudi K., Lutton E. Fractal modeling of speech signals. Fractals 1995, 2:379-382.
    • (1995) Fractals , vol.2 , pp. 379-382
    • Levy-Véhel, J.1    Daoudi, K.2    Lutton, E.3
  • 10
    • 34547668397 scopus 로고    scopus 로고
    • Scaling and multifractal fields in the solid earth and topography
    • Lovejoy S., Schertzer D. Scaling and multifractal fields in the solid earth and topography. Nonlinear Processes in Geophysics 2007, 14:1-38.
    • (2007) Nonlinear Processes in Geophysics , vol.14 , pp. 1-38
    • Lovejoy, S.1    Schertzer, D.2
  • 11
    • 77949262231 scopus 로고    scopus 로고
    • Towards a new synthesis for atmospheric dynamics: space-time cascades
    • Lovejoy S., Schertzer D. Towards a new synthesis for atmospheric dynamics: space-time cascades. Atmospheric Research 2010, 96:1-52. 10.1016/j.atmosres.2010.1001.1004.
    • (2010) Atmospheric Research , vol.96 , pp. 1-52
    • Lovejoy, S.1    Schertzer, D.2
  • 12
    • 78149471089 scopus 로고    scopus 로고
    • Multifractal Cascade Processes and the Emergence of Turbulent Laws in the Atmosphere. Cambridge University Press (in press)
    • Lovejoy, S., Schertzer, D., 2010b. Multifractal Cascade Processes and the Emergence of Turbulent Laws in the Atmosphere. Cambridge University Press (in press).
    • (2010)
    • Lovejoy, S.1    Schertzer, D.2
  • 14
    • 67649092701 scopus 로고    scopus 로고
    • The vertical cascade structure of the atmosphere and multifractal drop sonde outages. Journal of Geophysical Research 114, D07111, doi:10.1029/02008JD010651
    • Lovejoy, S., Tuck, A.F., Hovde, S.J., Schertzer, D., 2009b. The vertical cascade structure of the atmosphere and multifractal drop sonde outages. Journal of Geophysical Research 114, D07111, doi:10.1029/02008JD010651.
    • (2009)
    • Lovejoy, S.1    Tuck, A.F.2    Hovde, S.J.3    Schertzer, D.4
  • 15
    • 77956013200 scopus 로고    scopus 로고
    • The Horizontal cascade structure of atmospheric fields determined from aircraft data. Journal of Geophysical Research 115, D13105, doi:10.1029/2009JD013353
    • Lovejoy, S., Tuck, A., Schertzer, D., 2010. The Horizontal cascade structure of atmospheric fields determined from aircraft data. Journal of Geophysical Research 115, D13105, doi:10.1029/2009JD013353.
    • (2010)
    • Lovejoy, S.1    Tuck, A.2    Schertzer, D.3
  • 16
    • 0015969022 scopus 로고
    • Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
    • Mandelbrot B.B. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. Journal of Fluid Mechanics 1974, 62:331-350.
    • (1974) Journal of Fluid Mechanics , vol.62 , pp. 331-350
    • Mandelbrot, B.B.1
  • 17
    • 0030422569 scopus 로고    scopus 로고
    • Causal space-time multifractal processes: predictability and forecasting of rain fields
    • Marsan D., Schertzer D., Lovejoy S. Causal space-time multifractal processes: predictability and forecasting of rain fields. Journal of Geophysical Research 1996, 31D:26333-26346.
    • (1996) Journal of Geophysical Research , vol.31 , Issue.D , pp. 26333-26346
    • Marsan, D.1    Schertzer, D.2    Lovejoy, S.3
  • 19
    • 0001409273 scopus 로고
    • Intermittency of turbulence and spectrum of fluctuations in energy-disspation
    • Novikov E.A., Stewart R. Intermittency of turbulence and spectrum of fluctuations in energy-disspation. Izvestiya Akademii Nauk SSSR. Serie Geofizica 1964, 3:408-412.
    • (1964) Izvestiya Akademii Nauk SSSR. Serie Geofizica , vol.3 , pp. 408-412
    • Novikov, E.A.1    Stewart, R.2
  • 20
    • 0002686306 scopus 로고    scopus 로고
    • The morphology and texture of anisotropic multifractals using generalized scale invariance
    • Springer-Verlag, New York, W. Woyczynski, S. Molchansov (Eds.)
    • Pecknold S., Lovejoy S., Schertzer D. The morphology and texture of anisotropic multifractals using generalized scale invariance. Stochastic Models in Geosystems 1996, 269-312. Springer-Verlag, New York. W. Woyczynski, S. Molchansov (Eds.).
    • (1996) Stochastic Models in Geosystems , pp. 269-312
    • Pecknold, S.1    Lovejoy, S.2    Schertzer, D.3
  • 21
    • 0001960894 scopus 로고    scopus 로고
    • Multifractals and the resolution dependence of remotely sensed data: generalized scale invariance and geographical information systems
    • Lewis, Boca Raton, Florida, M.G.D. Quattrochi (Ed.)
    • Pecknold S., Lovejoy S., Schertzer D., Hooge C. Multifractals and the resolution dependence of remotely sensed data: generalized scale invariance and geographical information systems. Scaling in Remote Sensing and Geographical Information Systems 1997, 361-394. Lewis, Boca Raton, Florida. M.G.D. Quattrochi (Ed.).
    • (1997) Scaling in Remote Sensing and Geographical Information Systems , pp. 361-394
    • Pecknold, S.1    Lovejoy, S.2    Schertzer, D.3    Hooge, C.4
  • 24
    • 0021902685 scopus 로고
    • The dimension and intermittency of atmospheric dynamics
    • Springer-Verlag
    • Schertzer D., Lovejoy S. The dimension and intermittency of atmospheric dynamics. Turbulent Shear Flow 1985, vol. 4:7-33. Springer-Verlag.
    • (1985) Turbulent Shear Flow , vol.4 , pp. 7-33
    • Schertzer, D.1    Lovejoy, S.2
  • 25
    • 0023483807 scopus 로고
    • Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes
    • Schertzer D., Lovejoy S. Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes. Journal of Geophysical Research 1987, 92:9693-9714.
    • (1987) Journal of Geophysical Research , vol.92 , pp. 9693-9714
    • Schertzer, D.1    Lovejoy, S.2
  • 27
    • 0002961691 scopus 로고
    • Structures in turbulence and multifractal universality
    • Springer-Verlag, New York, M. Meneguzzi, A. Pouquet, P.L. Sulem (Eds.)
    • Schertzer D., Lovejoy S., Schmitt F. Structures in turbulence and multifractal universality. Small-Scale Structures in 3D and MHD Turbulence 1995, 137-144. Springer-Verlag, New York. M. Meneguzzi, A. Pouquet, P.L. Sulem (Eds.).
    • (1995) Small-Scale Structures in 3D and MHD Turbulence , pp. 137-144
    • Schertzer, D.1    Lovejoy, S.2    Schmitt, F.3
  • 28
    • 12044250916 scopus 로고
    • Universal scaling laws in fully developed turbulence
    • She Z.S., Levesque E. Universal scaling laws in fully developed turbulence. Physical Review Letters 1994, 72:336-339.
    • (1994) Physical Review Letters , vol.72 , pp. 336-339
    • She, Z.S.1    Levesque, E.2
  • 29
    • 0026040819 scopus 로고
    • Physically based modelling by multiplicative cascade processes
    • Kluwer, Dordrecht, The Netherlands, D. Schertzer, S. Lovejoy (Eds.)
    • Wilson J., Schertzer D., Lovejoy S. Physically based modelling by multiplicative cascade processes. Non-Linear Variability in Geophysics: Scaling and Fractals 1991, 185-208. Kluwer, Dordrecht, The Netherlands. D. Schertzer, S. Lovejoy (Eds.).
    • (1991) Non-Linear Variability in Geophysics: Scaling and Fractals , pp. 185-208
    • Wilson, J.1    Schertzer, D.2    Lovejoy, S.3
  • 30
    • 0002183461 scopus 로고
    • The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval
    • Yaglom A.M. The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval. Soviet Physics Doklady 1966, 2:26-30.
    • (1966) Soviet Physics Doklady , vol.2 , pp. 26-30
    • Yaglom, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.