메뉴 건너뛰기




Volumn 28, Issue 3, 2010, Pages 267-284

Craya decomposition using compactly supported biorthogonal wavelets

Author keywords

Craya Herring decomposition; Divergence free wavelets; Stratified flows; Wave vortex expansion

Indexed keywords

BIORTHOGONAL WAVELET; COMPACTLY SUPPORTED; DIVERGENCE FREE; FOURIER SPACE; GEOPHYSICAL TURBULENCE; ORTHOGONAL COMPONENTS; STRATIFIED FLOWS; THREE-DIMENSIONAL VECTORS; VECTOR-VALUED FUNCTION;

EID: 77950484857     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2010.02.006     Document Type: Article
Times cited : (8)

References (32)
  • 1
    • 0011438205 scopus 로고
    • Divergence-free vector wavelets
    • Battle G., and Federbush P. Divergence-free vector wavelets. Michigan Math. J. 40 (1993) 181-195
    • (1993) Michigan Math. J. , vol.40 , pp. 181-195
    • Battle, G.1    Federbush, P.2
  • 2
    • 35248894928 scopus 로고    scopus 로고
    • Small scale intermittency in anisotropic turbulence
    • Bos W.J.T., Liechtenstein L., and Schneider K. Small scale intermittency in anisotropic turbulence. Phys. Rev. E 76 (2007) 046310
    • (2007) Phys. Rev. E , vol.76 , pp. 046310
    • Bos, W.J.T.1    Liechtenstein, L.2    Schneider, K.3
  • 3
    • 0035387022 scopus 로고    scopus 로고
    • Turbulence and vortex structures in rotating and stratified flows
    • Cambon C. Turbulence and vortex structures in rotating and stratified flows. Eur. J. Mech. B Fluids 20 4 (2001) 489-510
    • (2001) Eur. J. Mech. B Fluids , vol.20 , Issue.4 , pp. 489-510
    • Cambon, C.1
  • 4
    • 0024662701 scopus 로고
    • Spectral approach to non-isotropic turbulence subjected to rotation
    • Cambon C., and Jacquin L. Spectral approach to non-isotropic turbulence subjected to rotation. J. Fluid Mech. 202 (1989) 295-317
    • (1989) J. Fluid Mech. , vol.202 , pp. 295-317
    • Cambon, C.1    Jacquin, L.2
  • 5
    • 0021877262 scopus 로고
    • Étude d'effets couplés de déformation et de rotation sur une turbulence homogène
    • Cambon C., Teissedre C., and Jeandel D.C. Étude d'effets couplés de déformation et de rotation sur une turbulence homogène. J. Méc. Théor. Appl. 4 5 (1985) 629-657
    • (1985) J. Méc. Théor. Appl. , vol.4 , Issue.5 , pp. 629-657
    • Cambon, C.1    Teissedre, C.2    Jeandel, D.C.3
  • 6
    • 0039129397 scopus 로고
    • Contribution à l'analyse de la turbulence associée à des vitesses moyennes
    • Craya A. Contribution à l'analyse de la turbulence associée à des vitesses moyennes. P.S.T. Ministère de l'Air (Paris) 345 (1958)
    • (1958) P.S.T. Ministère de l'Air (Paris) , vol.345
    • Craya, A.1
  • 7
    • 77950503331 scopus 로고    scopus 로고
    • Divergence-free wavelets in 2D and 3D, application to the Navier-Stokes equations
    • Deriaz E., and Perrier V. Divergence-free wavelets in 2D and 3D, application to the Navier-Stokes equations. J. Turbul. 7 3 (2006)
    • (2006) J. Turbul. , vol.7 , Issue.3
    • Deriaz, E.1    Perrier, V.2
  • 8
    • 77950478029 scopus 로고    scopus 로고
    • Divergence-free wavelets for coherent vortex extraction in 3D homogeneous isotropic turbulence
    • Deriaz E., Domingues M.O., Perrier V., Schneider K., and Farge M. Divergence-free wavelets for coherent vortex extraction in 3D homogeneous isotropic turbulence. ESAIM Proc. vol. 16 (2007) 146-163
    • (2007) ESAIM Proc. , vol.16 , pp. 146-163
    • Deriaz, E.1    Domingues, M.O.2    Perrier, V.3    Schneider, K.4    Farge, M.5
  • 9
    • 59649103603 scopus 로고    scopus 로고
    • Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets
    • Deriaz E., and Perrier V. Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets. Appl. Comput. Harmon. Anal. 26 2 (2009) 249-269
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , Issue.2 , pp. 249-269
    • Deriaz, E.1    Perrier, V.2
  • 10
    • 0026809031 scopus 로고
    • Wavelet transforms and their application to turbulence
    • Farge M. Wavelet transforms and their application to turbulence. Annu. Rev. Fluid Mech. 24 (1992) 395-457
    • (1992) Annu. Rev. Fluid Mech. , vol.24 , pp. 395-457
    • Farge, M.1
  • 12
    • 0024226265 scopus 로고
    • Transformée en ondelettes pour détecter et analyser les structures cohérentes dans les écoulements turbulents bidimensionnels
    • Farge M., and Rabreau G. Transformée en ondelettes pour détecter et analyser les structures cohérentes dans les écoulements turbulents bidimensionnels. C. R. Acad. Sci. Paris Sér. II 307 (1988) 1479-1486
    • (1988) C. R. Acad. Sci. Paris Sér. II , vol.307 , pp. 1479-1486
    • Farge, M.1    Rabreau, G.2
  • 13
    • 0027974641 scopus 로고
    • Detailed investigation of energy transfers in homogeneous stratified turbulence
    • Godeferd F.S., and Cambon C. Detailed investigation of energy transfers in homogeneous stratified turbulence. Phys. Fluids 6 (1994) 2084
    • (1994) Phys. Fluids , vol.6 , pp. 2084
    • Godeferd, F.S.1    Cambon, C.2
  • 14
    • 0000562670 scopus 로고
    • Decomposition of Hardy functions into square integrable wavelets of constant shape
    • Grossmann A., and Morlet J. Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM J. Math. Anal. 15 (1984) 723-736
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 723-736
    • Grossmann, A.1    Morlet, J.2
  • 15
    • 0016020270 scopus 로고
    • Approach of axisymmetric turbulence to isotropy
    • Herring J.R. Approach of axisymmetric turbulence to isotropy. Phys. Fluids 17 (1974) 859-872
    • (1974) Phys. Fluids , vol.17 , pp. 859-872
    • Herring, J.R.1
  • 16
    • 0000128320 scopus 로고    scopus 로고
    • Local or nonlocal? Orthonormal divergence-free wavelet analysis of nonlinear interactions in turbulence
    • Kishida K., Araki K., Kishiba S., and Suzuki K. Local or nonlocal? Orthonormal divergence-free wavelet analysis of nonlinear interactions in turbulence. Phys. Rev. Lett. 83 26 (1999) 5487-5490
    • (1999) Phys. Rev. Lett. , vol.83 , Issue.26 , pp. 5487-5490
    • Kishida, K.1    Araki, K.2    Kishiba, S.3    Suzuki, K.4
  • 17
    • 84861141270 scopus 로고    scopus 로고
    • Orthogonal divergence-free wavelet analysis of spatial correlation between kinetic energy and nonlinear transfer in turbulence
    • Kaneda Y., and Gotoh T. (Eds), Springer-Verlag, Tokyo
    • Kishida K., and Araki K. Orthogonal divergence-free wavelet analysis of spatial correlation between kinetic energy and nonlinear transfer in turbulence. In: Kaneda Y., and Gotoh T. (Eds). Statistical Theories and Computational Approaches to Turbulence (2002), Springer-Verlag, Tokyo
    • (2002) Statistical Theories and Computational Approaches to Turbulence
    • Kishida, K.1    Araki, K.2
  • 18
    • 0000423051 scopus 로고
    • Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteurs à divergence nulle
    • Lemarié-Rieusset P.G. Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteurs à divergence nulle. Rev. Mat. Iberoamericana 8 2 (1992) 221-236
    • (1992) Rev. Mat. Iberoamericana , vol.8 , Issue.2 , pp. 221-236
    • Lemarié-Rieusset, P.G.1
  • 19
    • 0007380196 scopus 로고
    • Un théorème d'inexistence pour les ondelettes vecteurs à divergence nulle
    • Lemarié-Rieusset P.G. Un théorème d'inexistence pour les ondelettes vecteurs à divergence nulle. C. R. Acad. Sci. Paris Sér. I 319 (1994) 811-813
    • (1994) C. R. Acad. Sci. Paris Sér. I , vol.319 , pp. 811-813
    • Lemarié-Rieusset, P.G.1
  • 20
    • 0000019891 scopus 로고    scopus 로고
    • On the existence of compactly supported dual wavelets
    • Lemarié-Rieusset P.G. On the existence of compactly supported dual wavelets. Appl. Comput. Harmon. Anal. 3 (1997) 117-118
    • (1997) Appl. Comput. Harmon. Anal. , vol.3 , pp. 117-118
    • Lemarié-Rieusset, P.G.1
  • 22
    • 29144449239 scopus 로고    scopus 로고
    • Nonlinear formation of structures in rotating stratified turbulence
    • Liechtenstein L., Godeferd F.S., and Cambon C. Nonlinear formation of structures in rotating stratified turbulence. J. Turbul. 6 (2005) 24
    • (2005) J. Turbul. , vol.6 , pp. 24
    • Liechtenstein, L.1    Godeferd, F.S.2    Cambon, C.3
  • 23
    • 0026256028 scopus 로고
    • Analysis of turbulence in the orthonormal wavelet representation
    • Meneveau C. Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232 (1991) 469-520
    • (1991) J. Fluid Mech. , vol.232 , pp. 469-520
    • Meneveau, C.1
  • 25
    • 0002356398 scopus 로고
    • Direct numerical simulations of homogeneous turbulence in density-stratified fluids
    • Riley J.J., Metcalfe R.W., and Weissman M.A. Direct numerical simulations of homogeneous turbulence in density-stratified fluids. AIP Conf. Proc. vol. 76 (1981) 79
    • (1981) AIP Conf. Proc. , vol.76 , pp. 79
    • Riley, J.J.1    Metcalfe, R.W.2    Weissman, M.A.3
  • 27
    • 73649095197 scopus 로고    scopus 로고
    • Wavelet methods in computational fluid dynamics
    • Schneider K., and Vasilyev O. Wavelet methods in computational fluid dynamics. Annu. Rev. Fluid Mech. 42 (2010) 473-503
    • (2010) Annu. Rev. Fluid Mech. , vol.42 , pp. 473-503
    • Schneider, K.1    Vasilyev, O.2
  • 28
    • 34249754212 scopus 로고
    • On divergence-free wavelets
    • Urban K. On divergence-free wavelets. Adv. Comput. Math. 4 1, 2 (1995) 51-82
    • (1995) Adv. Comput. Math. , vol.4 , Issue.1-2 , pp. 51-82
    • Urban, K.1
  • 30
    • 6244227310 scopus 로고
    • The nature of triad interactions in homogeneous turbulence
    • Waleffe F. The nature of triad interactions in homogeneous turbulence. Phys. Fluids A 4 (1992) 350
    • (1992) Phys. Fluids A , vol.4 , pp. 350
    • Waleffe, F.1
  • 31
    • 24144491644 scopus 로고    scopus 로고
    • High Reynolds-number simulation of turbulent mixing
    • Yeung P., Donzis D., and Sreenivasan K. High Reynolds-number simulation of turbulent mixing. Phys. Fluids 17 (2005) 081703
    • (2005) Phys. Fluids , vol.17 , pp. 081703
    • Yeung, P.1    Donzis, D.2    Sreenivasan, K.3
  • 32
    • 61449254318 scopus 로고    scopus 로고
    • Intermittency and scale-dependent statistics in fully developed turbulence
    • Yoshimatsu K., Okamoto N., Schneider K., Kaneda Y., and Farge M. Intermittency and scale-dependent statistics in fully developed turbulence. Phys. Rev. E 79 (2009) 026303
    • (2009) Phys. Rev. E , vol.79 , pp. 026303
    • Yoshimatsu, K.1    Okamoto, N.2    Schneider, K.3    Kaneda, Y.4    Farge, M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.