Subgrid-scale physical parameterization in atmospheric modeling: How can we make it consistent?

Journal of Physics A: Mathematical and Theoretical

Volumn 49, Issue 28, 2016, Pages

  Yano, Jun Ichi ^a  

^a CENTRE NATIONAL DE RECHERCHES MÉTÉOROLOGIQUES   (France)

Author keywords

adaptive mesh refinement; distribution; geophysical flows; mass flux; moments; Parameterization; subgrid scale

Indexed keywords

EID: 84975029749     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/49/28/284001     Document Type: Article

References (188)

1. Antepara O, Lehmkuhl O, Borrell R, Chiva J and Oliva A 2015 Parallel adaptive mesh refinement for large-eddy simulations of turbulent flows Comput. Fluids 110 48-61
2. Arakawa A 2004 The cumulus parameterization problem: past, present, and future J. Clim. 17 2493-525
3. Arakawa A and Schubert W H 1974 Interaction of a cumulus cloud ensemble with the large-scale environment pt: I J. Atmos. Sci. 31 674-701
4. Aubry N, Guyonnet R and Lima R 1991 Spatiotemporal analysis of complex signals: theory and applications J. Stat. Phys. 64 683-739
5. Aubry N, Holmes P, Lumley J L and Stone E 1988 The dynamics of coherent structures in the wall region of a turbulent boundary layer J. Fluid Mech. 192 115-73
6. Bacon D P et al 2000 A dynamically adapting weather and dispersion model: the operational multiscale environment model with grid adaptivity (OMEGA) Mon. Weather Rev. 128 2044-76
7. Barros S R M and Garcia C I 2004 A global semi-implicit semi-Lagrangian shallow-water model on locally refined grids Mon. Weather Rev. 132 53-65
8. Batchelor G K 1970 The Theory of Homogeneous Turbulence (Cambridge: Cambridge University Press) p 197
9. Bechtold P, Cuijpers J W M, Mascart P and Trouilhet P 1995 Modeling of trade-wind cumuli with a low-order turbulence model - towards a unified description of Cu and Sc clouds in meteorological models J. Atmos. Sci. 52 455-63
10. Bechtold P, Fravalo C and Pinty J P 1992 A model of marine boundary-layer cloudness for mesoscale applications J. Atmos. Sci. 49 1723-44
11. Behrens J 2006 Adaptive Atmospheric Modelling (Lecture Notes in Computational Science and Engineering vol 54) (Berlin: Springer) p 207
12. Berner J et al 2016 Stochastic parameterization: towards a new view of weather and climate models Bull. Am. Meteorol. Soc. submitted to
13. Berger M J and Colella P 1989 Local adaptive mesh refinement for shock hydrodynamics J. Comput. Phys. 82 64-84
14. Berger M J and Oliger J 1984 Adaptive mesh refinement for hyperbolic partial-differential equations J. Comput. Phys. 53 484-512
15. Berkooz G, Holmes P and Lumley J L 1993 The proper orthogonal decomposition in the analysis of turbulent flows Ann. Rev. Fluid Mech. 25 539-75
16. Beylkin G, Coifman R and Rokhlin V 1991 Fast wavelet transforms and numerical algorithms: I Commun. Pure Appl. Math. 44 141-83
17. Bilger R W 1989 Turbulent diffusion flames Annu. Rev. Fluid Mech. 21 101-35
18. Bilger R W, Pope S B, Bray K N C and Driscoll J F 2005 Paradigms in turbulent combustion research Proc. Combust. Inst. 21 21-42
19. Bony S and Emanuel K A 2001 A parameterization of the cloudness associated with cumulus convection: evaluation using TOGA COARE data J. Atmos. Sci. 58 3158-83
20. Bougeault P 1981 Modeling the trade-wind cumulus boundary-layer: I. Testing the ensemble cloud relations against numerical data J. Atmos. Sci. 38 2414-28
21. Bourke W 1972 An efficient, one-level, primitive-equation spectral model Mon. Weather Rev. 100 683-9
22. Bourke W 1974 A multi-level spectral model: I. Formulation and hemispheric integrations Mon. Weather Rev. 102 687-701
23. Budd C J, Cullen M J P and Walsh E J 2013 Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem J. Comput. Phys. 236 247-70
24. Budd C J, Russell R D and Walsh E 2015 The geometry of r-adaptive meshes generated using optimal transport methods J. Comput. Phys. 282 113-37
25. Chatterjee A 2000 An introduction to the proper orthogonal decomposition Curr. Sci. 78 808-17
26. Chen H D, Chen S Y and Kraichnan R H 1989 Probability-distribution of a stochastically advected scalar field Phys. Rev. Lett 63 2657-60
27. de Rooy W C, Bechtold P, Frohlich K, Hohenegger C, Jonker H, Mironov D, Pier Siebesma A, Teixeira J and Yano J-I 2013 Entrainment and detrainment in cumulus convection: an overview Q. J. R. Meteorol. Soc. 139 1-9
28. Deane A E, Kevrekidis I G, Karniadakis G E and Orszag S A 1991 Low-dimensional models for complex geometry flow: application to grooved channels and circular cylinders Phys. Fluids A 3 2337-54
29. Deardorff J W 1978 Closure of 2nd-moment and 3rd-moment rate equations for diffusion in homogeneous turbulence Phys. Fluids 21 525-30
30. Delayen K and Yano J-I 2009 Is asymptotic nondivergence of the large-scale tropical atmosphere consistent with equatorial wave theories? Tellus A 61 491-7
31. Domaradzki J A, Xiao Z and Smolarkiewicz P K 2003 Effective eddy viscosity in implicit large eddy simulations of turbulent flows Phys. Fluids 15 3890-3
32. Dorrestijn J, Crommelin D T, Biello J A and Bing S J 2013 A data-driven multi-cloud model for stochastic parametrization of deep convection Phil. Trans. R. Soc. A 371 20120374
33. Düben P E and Korn P 2014 Atmosphere and ocean modeling on grids of variable resolution - a 2D case study Mon. Weather Rev. 142 1997-2017
34. Ehrendrofer M 1994 The Liuville equation and its potential usefulness for the prediction of forecast skill: I. Theory Mon. Weather Rev. 122 703-13
35. Emanuel K A 1991 A scheme for representing cumulus convection in large-scale models J. Atmos. Sci. 48 2313-35
36. Fournier A, Taylor M A and Tribbia J J 2004 The spectral element atmosphere model (SEAM): high-resolution parallel computation and localized resolution of regional dynamics Mon. Weather Rev. 132 726-48
37. Gal-Chen T and Sommerville C J 1975 On the use of a coordinate transformation for the solution of the Navier-Stokes equations J. Comput. Phys. 17 209-28
38. Gardiner C W 1985 Handbook of Stochastic Methods 2nd edn (Berlin: Springer) p 442
39. Garratt J R 1992 The Atmospheric Boundary Layer (Cambridge: Cambridge University Press) p 316
40. Golaz J-C, Larson V E and Cotton W R 2002 A PDF-based model for boundary layer clouds: I. Method and model description J. Atmos. Sci. 59 3540-51
41. Goodfriend L, Chow F K, Vanella M and Balaras E 2013 Large-eddy simulation of decaying isotropic turbulence across a grid refinement interface using explicit filtering and reconstruction J. Turbul. 14 58-76
42. Gopalakrishnan S G et al 2002 An operational multiscale hurricane forecasting system Mon. Weather Rev. 130 1830-47
43. Grandpeix J-Y and Lafore J-P 2010 A density current parameterization coupled with Emanuel's convection scheme: I. The Models J. Atmos. Sci. 67 881-97
44. Gregory P 2005 Bayesian Logical Data Analysis for the Physical Sciences (Cambridge: Cambridge University Press) p 468
45. Harten A 1993 Discrete multi-resolution analysis and generalized wavelets Appl. Numer. Math. 12 153-92
46. Harten A 1994 Adaptive multiresolution schemes for shock computations J. Comput. Phys. 115 319-38
47. Harten A 1996 Multiresolution representation of data SIAM J. Numer. Anal. 33 1205-56
48. Hickel S, Adams N A and Domaradzki J A 2006 An adaptive local deconvolution method for implicit LES J. Comput. Phys. 213 413-36
49. Hoffman J and Johnson C 2006 A new approach to computational turbulence modeling Comput. Methods Appl. Mech. Eng. 195 2865-80
50. Hohenegger C and Bretherton C S 2011 Simulating deep convection with a shallow convection scheme Atmos. Chem. Phys. 11 10389-406
51. Holmes P, Lumley J L and Berkooz G 1996 Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge: Cambridge University Press) p 420
52. Horsthemke W and Lefver R 1984 Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology (Berlin: Springer) p 318
53. Hubbard M E and Nikiforakis N 2003 A three-dimensional, adaptive, Godunov-type model for global atmospheric flows Mon. Weather Rev. 131 1848-64
54. Jablonowski C, Herzog M, Penner J E, Oehmke R C, Stout Q F, van Leer B and Powell K G 2006 Block-structured adaptive grids on the sphere: advection experiments Mon. Weather Rev. 134 3691-713
55. Jaynes E T 2003 Probability Theory, The Logic of Science (Cambridge: Cambridge University Press)
56. Jaynes E T 1978 Where do we stand on maximum entropy? The Maximum Entropy Formulation ed R D Levine and M Tribus (Cambridge: MIT Press) pp 15-18
57. Jiménez J and Moin P 1991 The minimal flow unit in near-wall turbulence J. Fluid Mech. 225 213-40
58. Khain A P et al 2015 Representation of microphysical processes in cloud-resolving models: spectral (bin) microphysics vs. bulk-parameterization Rev. Geophys. 53 247-322
59. Klimenko A Y and Bilger R W 1999 Conditional moment closure for turbulent combustion Prog. Energy Combust. Sci. 25 596-687
60. Klimenko A Y and Pope S B 2003 The modeling of turbulent reactive flows based on multiple mapping conditioning Phys. Fluids 15 1907-25
61. Kopera M A and Giraldo F X 2014 Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations J. Comput. Phys. 275 92-117
62. Kühnlein C, Smolarkiewics P K and Dörnbrack A 2012 Modeling atmospheric flows with adaptive moving meshes J. Comput. Phys. 231 2741-63
63. Kuo H L 1974 Further studies of the parameterization of the influence of cumulus convection on the large-scale flow J. Atmos. Sci. 31 1232-40
64. Landau L D and Lifshitz E M 1980 Statistical Physics (Leiden: Butterworth-Heinemann) p 544
65. Lappen C-L and Randall D A 2001a Toward a unified parameterization of the boundary layer and moist convection: I. A new type of mass-flux model J. Atmos. Sci. 58 2021-36
66. Lappen C-L and Randall D A 2001b Toward a unified parameterization of the boundary layer and moist convection: II. Lateral mass exchanges and subplume-scale fluxes J. Atmos. Sci. 58 2037-51
67. Lappen C-L and Randall D A 2001c Toward a unified parameterization of the boundary layer and moist convection: III. Simulations of clear and cloudy convection J. Atmos. Sci. 58 2052-72
68. Larson V E 2004 Prognostic equations for cloud fraction and liquid water, and their relation to filtered density function J. Atmos. Sci. 61 338-51
69. Läuter M, Handorf D, Rakowsky N, Behrens J, Frickenhaus S, Best M, Dethloff K and Hiller W 2007 A parallel adaptive barotropic model of the atmosphere J. Comput. Phys. 223 609-28
70. Le Treut H and Li Z X 1991 Sensitivity of an atmospheric general circulation model to prescribed SST changes: feedback effects associated with the simulation of cloud optical properties Clim. Dyn. 5 175-87
71. Leonard A 1974 Energy cascade in large-eddy simulations of turbulent flows Adv. Geophys. 418A 237-48
72. LeVeque R J 2002 Finite Volume Methods for Hyperbolic Problems (Cambridge: Cambridge University Press) p 578
73. Lockwood F C and Naguib A S 1975 The predictin of th efluctuations in the properties of free, round-jet, turbulent, diffusion flames Combust. Flame 24 109-24
74. Lumley J L 1967 The structure of inhomogeneous turbulent flows Atmospheric Turbulence and Radio Wave Propagation ed A M Yaglom and V I Tatarski (Moscow: Nauka) pp 166-78
75. Lumley J L (ed) 1990 Whiter Turbulence? Turbulence at the Crossroads (Lecture Notes in Physics vol 357) (Berlin: Springer) p 535
76. Maday Y, Perrier V and Ravel J C 1991 Dynamic adaptivity using wavelets basis for the approximation of partial-differential equations C. R. Acad. Sci., Paris 312 405-10
77. Majda A J 2007 Multiscale models with moisture and systematic strategies for superparameterization J. Atmos. Sci. 64 2726-34
78. Mallat S 1998 A Wavelet Tour of Signal Processing 2nd edn (New York: Academic) p 637
79. Mapes B and Neale R 2011 Parameterizing convective organization to escape the entrainment dilemma J. Adv. Model. Earth Syst. 3 M06004
80. Mapes B E 1998 The large-scale part of mesoscale convective system circulations: a linear vertical spectral band model J. Meteorol. Soc. Japan 76 29-55
81. Maraun D et al 2010 Precipitation downscaling under climate change: recent developments to bridge the gap between dynamical models and the end user Rev. Geophys. 48 RG3003
82. Margolin L G and Rider W J 2002 A rationale for implicit turbulence modeling Int. J. Numer. Methods Fluids 39 821-41
83. Margolin L G, Smolarkiewicz P K and Sorbjan Z 1999 Large-eddy simulation of convective boundary layers using nonoscillatory differencing Physica D 133 390-7
84. Margolin L G, Smolarkiewicz P K and Wyszogrodzki A A 2002 Implicit turbulence modeling for high Reynolds number flows J. Fluids Eng. 124 862-7
85. Marsden A L, Vasilyev O V and Moin P 2002 Construction of commutative filters for LES on unstructured meshes J. Comput. Phys. 175 584-603
86. McCorquodale P, Ullrich P A, Johansen H and Colella P 2015 An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere Commun. Appl. Math. Comput. Sci. 10 121-62
87. Mellor G L 1977 Gaussian cloud model relations J. Atmos. Sci. 34 356-8
88. Mellor G L and Yamada T 1974 A hierarchy of turbulence closure models for planetary boundary layers J. Atmos. Sci. 31 1791-806
89. Mellor G L and Yamada T 1982 Development of a turbulence closure model for geophysical fluid problems Rev. Geophys. Space Phys. 20 851-75
90. Menter F R and Egorov Y 2010 The scale-adaptive simulation method for unsteady turbulent flow predictions: I. Theory And model description Flow Turbul. Combust. 85 113-38
91. Mironov D 2001 Pressure-potential temperature covariance in convection with rotation Q. J. R. Meteorol. Soc. 127 89-110
92. Mironov D 2009 Turbulence in the lower troposphere: second-order closure and mass-flux modeling frameworks Lecture Notes Phys. 756 161-221
93. Moncrieff M W 2010 The multiscale organization of convection at the interaction of weather and climate Climate Dynamics: Why Climate Does Vary? (AGU Geophysical Monograph) (Hoboken, NJ: Wiley) pp 3-26 vol 189
94. Morton B R, Taylor G I and Turner J S 1956 Turbulent gravitational convection from maintained and instantaneous sources Proc. R. Soc. London A 234 1-23
95. Neggers R A J 2009 A dual mass flux framework for boundary layer convection: II. Clouds J. Atmos. Sci. 66 1489-506
96. Neggers R A J, Köhler M and Beljaars A C M 2009 A dual mass flux framework for boundary layer convection: I. Transport J. Atmos. Sci. 66 1465-87
97. Nikiforakis N 2009 Theme issue 'Mesh generation and mesh adaptation for large-scale Earth-system modeling' Phil. Trans. R. Soc. A 367 4473-654
98. Berger M J and Colella P 1989 Local adaptive mesh refinement for shock hydrodynamics J. Comput. Phys. 82 64-84
99. Ooyama K V 1982 Conceptual evolution of the theory and modeling of the tropical cyclone J. Meteorol. Soc. Japan 60 369-80
100. Palmer T N 1993 Extended-range atmospheric prediction and the Lorenz model Bull. Am. Meteorol. Soc. 74 49-65
101. Palmer T N 2012 Towards the probabilistic Earth-system simulator: a vision for the future of climate and weather prediction Q. J. R. Meteorol. Soc. 138 841-61
102. Palmer T N, Dobas-Reyes F J, Hagedorn R and Weisheimer A 2005 Probabilistic prediction of climate using multi-model ensemble: from basic to applications Phil. Trans. R. Soc. B 360 1991-8
103. Pan D-M and Randall D A 1998 A cumulus parameterization with prognostic closure Q. J. R. Meteorol. Soc. 124 949-81
104. Pantano C, Deiterding R, Hill D J and Pullin D I 2007 A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows J. Comput. Phys. 221 63-87
105. Paul W and Baschnagel J 1999 Stochastic Processes: From Physics to Finance (Berlin: Springer) p 231
106. Pavliotis G A and Stuart A M 2007 Multiscale Methods: Averaging and Homogenization (Berlin: Springer) p 307
107. Pitsch H 2006 Large-eddy simulation of turbulent combustion Annu. Rev. Fluid Mech. 38 453-82
108. Plant R S and Yano J-I (ed) 2015 Parameterization of Atmospheric Convection vol I and II (Singapore: World Scientific, Imperial College Press) http://worldscientific.com/worldscibooks
109. Plant R S 2012 A new modeling framework for statistical cumulus dynamics Phil. Trans. R. Soc. A 370 1041-60
110. Plant R S and Yano J-I 2013 The energy-cycle analysis of the interactions between shallow and deep atmospheric convection Dyn. Atmos. Ocean 64 27-52
111. Podvin B 2001 On an adquacy of the ten-dimensinal model for the wall layer Phys. Fluids 13 210-24
112. Podvin B 2009 A proper-orthogonal-decomposition-based model for the wall layer of a turbulent channel flow Phys. Fluids 21 015111
113. Podvin B and Lumely J 1998 A low-dimensional approach for the minimal flow unit J. Fluid Mech. 362 121-55
114. Pope S B 1979 The statistical theory of turbulent flames Phil. Trans. R. Soc. London A 291 529-68
115. Pope S B 1985 PDF methods for turbulent reactive flows Prog. Energy Combust. Sci. 11 119-92
116. Pope S B 1990 Computations of turbulent combustion: progress and challenges Proc. Combust. Inst. 23 591-612
117. Pope S B 1991 Mapping closures for turbulent mixing and reaction Theor. Comp. Fluid Dyn. 2 255-70
118. Pope S B 1994 Lagrangian PDF methods for turbulent flows Annu. Rev. Fluid Mech. 26 23-63
119. Prusa J M and Smolarkiewicz P 2003 An all-scale anelastic model for geophysical flows: dynamic grid deformation J. Comput. Phys. 190 601-22
120. Randall D A 2013 Beyond deadlock Geophys. Res. Lett. 40 5870-1976
121. Randall D A, Khairoutdinov M, Arakawa A and Grabowski W 2003 Breaking the cloud parameterization deadlock Bull. Am. Meteorol. Soc. 84 1547-64
122. Randall D A and Pan D-M 1993 Implementation of the Arakawa-Schubert cumulus parameterization with a prognostic closure The Representation of Cumulus Convection in Numerical Models (Meteorological Monographs vol 46) ed K A Emanuel and D J Raymond (Boston: American Mathematical Society) pp 137-44
123. Raymond D J 1993 Observational constraints on cumulus parameterizations The Representation of Cumulus Convection in Numerical Models (Meteorological Monographs vol 46) ed K A Emanuel and D J Raymond (Boston: American Mathematical Society) pp 17-28
124. Richard J L and Royer J F 1993 A statistical cloud scheme for ruse in an AGCM Ann. Geophys. 11 1095-115
125. Richardson L F 1926 Atmospheric diffusion shown on a distance-neighbour graph Proc. R. Soc. London Ser. A 110 709-37
126. Riehl H and Malkus J S 1958 On the heat balance in the equatorial trough zone Geophysica (Helsinki) 6 503-38
127. Rio C, Hourdin F, Grandpeix J-Y and Lafore J-P 2009 Shifting the diurnal cycle of parameterized deep convection over land Geophys. Res. Lett. 36 L07809
128. Rio C et al 2013 Control of deep convection by sub-cloud lifting processes: the ALP closure in the LMDD5B general circulation model Clim. Dyn. 40 2271-92
129. Robinson S K 1991 coherent motions in the turbulent boundary layer Annu. Rev. Fluid Mech. 23 601-39
130. Rotta J C 1951 Statistische theories nichthomogener turbulenz Z. Phys. 129 547-72
131. Ruge J W, McCormick S F and Yee S Y K 1995 Multilevel adaptive methods for semiimplicit solution of shallow-water equations on a sphere Mon. Weather Rev. 123 2197-205
132. Siebesma A P, Soares P M M and João Teixeira J 2007 A combined eddy-diffusivity mass-flux approach for the convective boundary layer J. Atmos. Sci. 64 1230-48
133. Simpson J, Simpson R H, Andrews D A and Eaton M A 1965 Experimental cumulus dynamics Rev. Geophys. 3 387-431
134. Simpson J and Wiggert V 1969 Models of precipitating cumulus towers Mon. Weather Rev. 97 471-89
135. Simpson J 1983 Cumulus clouds: numerical models, observations and entrainment Mesoscale Meteorology - Theories, Observations and Models ed D K Lilly and T Gal (Dordrecht: Springer) pp 413-45
136. Skamarock W C and Klemp J B 1993 Adaptive grid refinement for two-dimensional and three-dimensional nonhydrostatic atmospheric flow Mon. Weather Rev. 121 788-804
137. Smagorinsky J 1963 General circulation experiments with the primitive equations Mon. Weather Rev. 91 99-164
138. Soares P M M, Miranda P M A, Siebesma A P and Teixeira J 2004 An eddy-diffusivity/mass-flux parametrization for dry and shallow cumulus convection Q. J. R. Meteorol. Soc. 130 3365-83
139. Sommeria G and Deadorff J W 1977 Subgrid-scale condensation in models of nonprecipitating clouds J. Atmos. Sci. 34 344-55
140. St-Cyr A, Jablonowski C, Dennis J M, Tufo H M and Thomas S J 2008 A comparison of two shallow water models with nonconforming adaptive grids Mon. Weather Rev. 136 1898-922
141. Stull R B 1988 An Introduction to Boundary Layer Meteorology (Dordrecht: Kluwer Academic Press) p 666
142. Sullivan P P, McWilliams J C and Moeng C-H 1996 A grid nesting method for large-eddy simulation of planetary boundary-layer flows Bound. - Layer Meteorol. 80 167-202
143. Szmelter J, Zhang Z and Smolarkiewicz P K 2015 An unstructured-mesh atmospheric model for nonhydrostatic dynamics: towards optimal mesh resolution J. Comput. Phys. 294 363-81
144. Tatsumi T 1980 Theory of homogeneous turbulence Adv. Appl. Mech. 17 39-133
145. Thayer-Calder K et al 2015 A unified parameterization of clouds and turbulence using CLUBB and subcolumns in the community atmosphere model Geosci. Model Dev. 8 3801-21
146. Tompkins A M 2002 A prognostic parameterization for the subgrid-scale variability of water vapor and clouds in large-scale models and its use to diagnose cloud cover J. Atmos. Sci. 59 1917-42
147. Townsend A A 1956 The Structure of Turbulent Shear Flow (Cambridge: Cambridge University Press)
148. Vasilyev O V, Lund T S and Moin P 1998 A general class of commutative filters for LES in complex geometries J. Comput. Phys. 146 82-104
149. Veynante D and Verisch L 2002 Turbulent combustion modeling Prog. Energy Comubst. Sci. 28 193-206
150. Wedi N P and Smolarkiewicz P K 2003 Extending Gal-Chen and Somerville terrain-following coordinate transformation on time-dependent curvilinear boundaries J. Comput. Phys. 193 1-20
151. Weller H 2009 Predicting mesh density for adaptive modeling of the global atmosphere Phil. Trans. R. Soc. A 367 4523-42
152. Wyngaard J C 1997 Experiment, numerical modeling, numerical simulation, and their roles in the study of convection Buoyant Convection in Geophysical Flows ed E J Plate et al (Dordrecht: Kluwer Academic Pub.) p 487
153. Yanai M, Esbensen S and Chu J-H 1973 Determination of bulk properties of tropical cloud clusters from large-scale heat and moisture budgets J. Atmos. Sci. 30 611-27
154. Yano J-I 1998 Planetary-scale coherent structures of tropical moist convection Aust. J. Phys. 51 865-74
155. Yano J-I 2009 Deep-convective vertical transport: what is mass flux? Atmos. Chem. Phys. Discuss. 9 3535-53
156. Yano J-I 2010 Downscaling, parameterization, decomposition, compression: a perspective from the multiresolutional analysis Adv. Geophys. 23 65-71
157. Yano J-I 2011 Interactive comment on Simulating deep convection with a shallow convection scheme by Hohenegger, C, and Bretherton, C S, On PBL-based closure Atmos. Chem. Phys. Discuss. 11 C2411-25
158. Yano J-I 2012a Mass-flux subgrid-scale parameterization in analogy with multi-component flows: a formulation towards scale independence Geosci. Model Dev. 5 1425-2440
159. Yano J-I 2012b Comments on a density current parameterization coupled with Emanuel's convection scheme: I. The Models J. Atmos. Sci. 69 2083-9
160. Yano J-I 2014a Formulation structure of the mass-flux convection parameterization Dyn. Atmos. Ocean 67 1-28
161. Yano J-I 2014b Basic convective element: bubble or plume?: a historical review Atmos. Phys. Chem. 14 7019-30
162. Yano J-I 2014c Convective kinetic energy equation under the mass-flux subgrid-scale parameterization Dyn. Atmos. Ocean 69 37-53
163. Yano J-I 2015 Downdraught Parameterization of Atmospheric Convection vol I ed R S Plant and J I Yano (Singapore: World Scientific, Imperial College Press) pp 419-47
164. Yano J-I and Baizig H 2012 Single SCA-Plume Dynamics Dyn. Atmos. Ocean. 58 62-94
165. Yano J-I, Bechtold P, Redelsperger J-L and Guichard F 2004a Wavelet-Compressed Representation of deep moist convection Mon. Weather Rev. 132 1472-86
166. Yano J-I, Benard P, Couvreux F and Lahellec A 2010 NAM-SCA: nonhydrostatic anelastic model under segmentally-constant approximation Mon. Weather Rev. 138 1957-74
167. Yano J I, Bister M, Fuchs Z, Gerard L, Phillips V, Barkidija S and Piriou J M 2013 Phenomenology of convection-parameterization closure Atmos. Phys. Chem. 13 4111-31
168. Yano J-I and Bouniol D 2010 A minimum bulk microphysics Atmos. Chem. Phys. Discuss. 10 30305-45
169. Yano J-I and Bouniol D 2011 Interactive comment on A minimum bulk microphysics J-I Yano and D Bouniol Atmos. Chem. Phys. Discuss. 10 C14638-54
170. Yano J-I, Guichard F, Lafore J-P, Redelsperger J-L and Bechtold P 2004b Estimations of mass fluxes for cumulus parameterizations from high-resolution spatial data J. Atmos. Sci. 61 829-42
171. Yano J-I, Kumar S and Roff G L 2012 Towards compressed super-parameterization: test of NAM-SCA under single-column GCM configurations Atmos. Phys. Chem. Discuss. 12 28237-303
172. Yano J-I and Lane T P 2014 Convectively-generated gravity waves simulated by NAM-SCA J. Geophys. Res. 119 9267-89
173. Yano J-I and Moncrieff M W 2016 Numerical archetype parameterization for mesoscale convective systems J. Atmos. Sci. at press
174. Yano J-I and Mukougawa H 1992 The attractor dimension of a quasi-geostrophic two-layer system Geophys. Astrophys. Fluid Dyn. 65 77-91
175. Yano J-I, Mulet S and Bonazzola M 2009 Large-scale tropical atmosphere: asymptotically non-divergent? Tellus A 61 417-27
176. Yano J-I and Plant R S 2012a Convective quasi-equilibrium Rev. Geophys. 50 RG4004
177. Yano J-I and Plant R S 2012b Finite departure from convective quasi-equilibrium: periodic cycle and discharge-recharge mechanism Q. J. R. Meteor. Soc. 138 626-37
178. Yano J-I and Plant R S 2012c Interactions between shallow and deep convection under a finite departure from convective quasi-equilibrium J. Atmos. Sci. 69 3463-70
179. Yano J-I and Plant R S 2015 Generalized convective quasi-equilibrium principle Dyn. Atmos. Ocean 73 10-33
180. Yano J-I, Redelsperger J-L, Guichard F and Bechtold P 2005 Mode decomposition as a methodology for developing convective-scale representations in global models Q. J. R. Meteorol. Soc. 131 2313-36
181. Yano J-I et al 2014 Basic concepts for convection parameterization in weather forecast and climate models: COST action ES0905 final report Atmosphere 6 88-147
182. Zhang C 2005 Madden-Julian oscillation Rev. Geophys. 43 RG2003
183. Zhou X and Sirovich L 1992 Coherence and chaos in a model of turbulent boundary layer Phys. Fluids A 4 2855-74
184. Ziegler J L, Deiterding R, Shepherd J E and Pullin D I 2011 An adaptive high-order hybrid scheme for compressive, viscous flows with detailed chemistry J. Comput. Phys. 230 7598-630
185. Zilitinkevich S S, Elperin T, Kleeorin N, Rogachevskii I and Esau I 2013 A hierarchy of energy- and flux-budget (EFB) turbulence closure models for stably-stratified geophysical flows Bound. - Layer Meteorol. 146 341-73
186. Zilitinkevich S S, Elperin T, Kleorin N, L'vov V and Rogachevskii I 2009 Energy- and flux-budget (EFB) turbulence closure model for stably stratified flows: II. The role of internal gravity waves Bound. - Layer Meteorol. 133 139-64
187. Zilitinkevich S S, Elperin T, Kleorin N and Rogachevskii I 2007 Energy- and flux-budget (EFB) turbulence closure model for stably stratified flows: I. Steady-state, homogeneous regimes Bound. - Layer Meteorol. 125 167-91
188. Zilitinkevich S S, Elperin T, Kleorin N, Rogachevskii I, Esau I, Mauritsen T and Miles M 2008 Turbulence energetics in stably stratified geophysical flows: strong and weak mixing regimes Q. J. R. Meteorol. Soc. 134 793-9