天文学特別講義 VI : 地球流体力学--回転成層流体中の波および平均流とその応用 : 参考文献

第 0 回 「地球流体力学」

  • 林 祥介, 2007 : 「地球流体力学(GFD)」天気, 54, 937--940.
  • Development of physcial oceanography, MIT press

第 1 回 : 回転系での基礎方程式, 回転成層流体の基礎特性

  • 回転系での基礎方程式
    • Pedlosky, J., 1987 : Geophysical Fluid Dynamics, 2nd edition, 710pp., Springer-Verlag.
    • Gill
    • Cushman-Roisin
    • Landau
  • 回転成層流体の基礎特性
    • Charney, J.G., 1973 : Planetary fluid dynamics, in Dynamic Meteorology, edited by Morel, P., 98--351.

第 2 回 : 地球流体の近似方程式

  • 準地衡流方程式
    • Pedlosky, J., 1979 : Geophysical Fluid Dynamics. Springer-Verlag. 710pp.
  • 浅水方程式
    • Hayashi, Y.-Y.,Young, W. R., 1987 : Stable and unstable modes of rotating parallel flows in a shallow water. J.Fluid Mech., 184, 477--504.
    • Ripa, P.,1983 : General stability conditions for zonal flows in one layer model on ohe β-plane or the sphere. J. Fluid Mech., 126, 463--489.
  • ブシネスク近似方程式
    • 小倉義光, 1978: 気象力学通論. 東京大学出版会.
    • 小倉義光, 1997: メソ気象の基礎理論. 東京大学出版会.
    • Ogura, Y., Phillips, N. A., 1962 : Scale analysis of deep and shallow convection in the atmosphere. J. Atmos. Sci., 19, 173--179.

第 3 回 : 線形波動論入門

  • Whitham, G. B., 1974 : Linear and nonlinear waves, 636pp., John Wiley & Sons.
  • Hayes, W. D., 1970 : Kinematic wave theory. Proc. Roy. Soc. Lond., A320, 209--226.
  • Hayes, W.D., 1977 : A note on group velocity. Proc. Roy. Soc. Lond., A354, 533--535.
  • Lighthill, J., 1965 : Group velocity. J. Inst. Maths Applics., 1, 1--28.
  • Lighthill, J., 1978 : Waves in fluids. Cambridge Univ. Press, 486pp.
  • 犬井鉄郎, 1948 : 球関数, 円柱関数, 超幾何関数. 河出書房. [第二章].
  • 寺沢寛一 (編), 1960 : 自然科学者のための数学概論 応用編. 岩波書店. [B 第二章]

第 4 回 : 地球流体における波動(音波, 内部重力波, ロスビー波)

  • 音波
    • 栗原, 大気力学入門?, 岩波?
  • 内部重力波
    • 小倉義光, 1978: 気象力学通論. 東京大学出版会.?
    • Mowbray, D. E., Rarity, B. S. H., 1967 : A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified liquid. J. Fluid Mech., 28, 1--16.
  • 実験室の中の空と海 : 地球流体基礎実験集 ver.2, http://www.gfd-dennou.org/library/gfd_exp/exp_j/index0.htm.
  • ロスビー波(2 次元β平面)
    • Ishioka, K., 2008 : A Spectral Method for Unbounded Domains and Its Application to Wave Equations in Geophysical Fluid Dynamics, IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, IUTAM Bookseries Volume 4, pp. 291-296.
    • Pedlosky,J.,1979 : Geophysical Fluid Dynamics. Springer-Verlag. 710pp.
    • 岸保勘三郎, 佐藤信夫, 1986 : 新しい気象力学, 東京堂出版, 204pp.
  • ロスビー波(2 次元回転球面)
    • 林祥介, 気象研究ノート, ?
    • Hayashi, Y.-Y., Matsuno, T., 1984 : Amplitude of rossby wave on a sphere. J. Met. Soc. Japan, 62, 377--387.

第 5 回 : 波の運動量・エネルギー, 波と平均流相互作用(内部重力波), (準 2 年振動)

  • Booker, J. R., Bretherton, F. P., 1967 : The critical layer for internal gravity waves in a shear flow. J.Fluid Mech., 27, 513--539.
  • Bretherton,F.P.,1966 : Gravity waves in shear. Quart. J. Roy. Met. Soc., 92, 466--480.
  • Whitham, G. B., 1974 : Linear and nonlinear waves. A Wiley-Interscience Publication, 636pp.
  • 実験室の中の空と海 : 地球流体基礎実験集 ver.2, http://www.gfd-dennou.org/library/gfd_exp/exp_j/index0.htm.

第 6 回 : 波の運動量・エネルギー, 波と平均流相互作用(ロスビー波), (成層圏突然昇温)

  • Whitham,G.B.,1974 : Linear and nonlinear waves. A Wiley-Interscience Publication,636pp.

第 7 回 : シアー不安定: 波の共鳴・波の過剰反射

  • シアー不安定概論
    • Case,K.M., 1960 : Stability of inviscid plane Couette flow, Phys. Fluids, 3, 143-148.
    • Lin,C.C., 1955 : The Theory of Hydrodynamic Instability. Cambridge University Press, 155p.
    • 巽 友正, 後藤金英, 1976 : 流れの安定性理論，産業図書，275p.
    • 新野 宏, 1981 : 順圧不安定の力学, 天気, 28, 53-82
  • 積分定理
    • Rayleigh, Lord, 1880 : On the stability or instability of certain fluid motions. Proc. Lond.Math. Soc., 11, 57-70
    • Kuo,H.L.,1949 : Dynamic instability of two-dimensional nondivergent flow in a barotropic atmosphere., J. Met., 6, 105-122
    • Miles,J.W.,1961 : On the stability of heterogeneous shear flows. J. Fluid Mech., 10, 496-508
    • Howard,L.N.,1961 : Note on a paper of John W.Miles. J. Fluid Mech., 10, 509-512
    • Synge,J.L.,1933 : The stability of heterogeneous liquids. Trans. Roy. Soc. Can. Sec.3,27, 1-18
    • 巽 友正, 後藤金英, 1976 : 流れの安定性理論, 産業図書, 275p.
    • 新野 宏, 1981 : 順圧不安定の力学, 天気, 28, 53-82
    • Pedlosky,J.,1979 : Geophysical Fluid Dynamics. Springer-Verlag. 710pp.
    • Ripa,P.,1983 : General stability conditions for zonal flows in a one layer model on the β-plane or the sphere. J.Fluid Mech.,126,463-489.
    • Satomura,T.,1981 : An investigation of shear instability in a shallow water. J.Met.Soc.Japan, 59, 148-167.
    • Kochar,G.T.,Jain,R.K.,1979 : Note on Howard’s semicircle theorem. J.Fluid Mech., 91, 489-491
    • Yu.N.Makov,Yu.A.Stepanyants,1984 : Note on the paper of Kochar & Jain on Howard’s semicircle theorem. J.Fluid Mech., 140, 1-10
  • 順圧不安定
  • シアー不安定と保存量, 波の共鳴
  • 過剰反射とシアー不安定
    • Bretherton,F.P.,1966 : Gravity waves in shear. Quart. J. Roy. Met. Soc., 92, 466-480
    • Harnik, N., and E. Heifetz, 2007 : Relating Overreflection and Wave Geometry to the Counterpropagating Rossby Wave Perspective: Toward a Deeper Mechanistic Understanding of Shear Instability. J. Atmos. Sci., 64, 2238–2261.
    • Hayashi,Y.-Y. and W.R.Young,1987 : Stable and unstable shear modes of rotating parallel flows in a shallow water. J. Fluid Mech., 184, 477-504
    • Lindzen,R.S. and A.J.Rosenthal, 1976 : On the instability of Helmholtz velocity profile in stably stratified fluids when a lower boundary layer is present. J. Geophys. Res., 81, 1561-1571
    • Lindzen,R.S. and K.K.Tung,1978 : Wave overreflection and shear instability. J. Atmos. Sci., 35, 1626-1632
    • Lindzen,R.S.,Farrel,B.,and K.K.Tung, 1980 : The Consept of Wave Over-reflection and Its Application to Baroclinic Instability. J, Atmos. Sci., 37, 44-63
    • Lindzen,R.S. and A.J.Rosenthal,1981 : A WKB asymptotic analisys of baroclinic instability. J. Atmos. Sci., 38, 619-629
    • Lindzen,R.S. and A.J.Rosenthal,1983 : Instability in a stratified fluid having one critical level. Part 3 : Kelvin-Helmholtz instabilities as overreflected waves. J. Atmos. Sci., 40, 530-542
    • Lindzen,R.S. and J.W.Barker,1985 : Instability and wave over-reflection in stably starti-fied shear flow. J. Fluid Mech., 151, 189-217
    • Lindzen,R.S.,1988 : Instability of plane parallel shear flow (Toward a mechanistic picture of how it works). PAGEOH, 126, 103-121
    • Rosenthal,A.J. and R.S.Lindzen,1983 : Instability in a stratified fluid having one critical lvel. Part 1: Results. J. Atmos. Sci., 40, 509-520
    • Rosenthal,A.J. and R.S.Lindzen,1983 : Instability in a stratified fluid having one critical level. Part 2: Using concepts of overreflection. J. Atmos. Sci., 40, 521-529
    • Satomura,T.,1981 : An investigation of shear instability in a shallow water. J. Met. Soc. Japan, 59, 148-167
    • Takehiro, S., Hayashi, Y.-Y., 1992 : Over-reflection and shear instability in a shallow-water model. J. Fluid Mech., 236, 259--279
  • 傾圧不安定
    • 木村竜冶, 地球流体力学入門.
    • 実験室の中の空と海 : 地球流体基礎実験集 ver.2.,http://www.gfd-dennou.org/library/gfd_exp/exp_j/index0.htm.

第 8 回 : 惑星大気大循環入門, 縞状構造生成問題, ラインズ効果, ロスビー波の運動量輸送

  • Busse, F. H., 1970 : Thermal instabilities in rapidly rotating systems. J. Fluid Mech., 44, 441--460.
  • Busse, F. H., 1976 : A simple model of convection in the Jovian atmosphere. Icarus, 29, 255--260.
  • Busse, F. H., 1983 : A model of mean zonal flows in the major planets. Geophys. Astrophys. Fluid Dyn., 23, 153--174.
  • Busse, F. H., 2002 : Convective flows in rapidly rotating spheres and their dynamo action. Phys. Fluids, 14, 1301--1314.
  • Christensen,U.R., 2002 : Zonal flow driven by strongly supercritical convection in rotating spherical shells. J. Fluid Mech., 470, 115—133.
  • Guillot, T., 2005 : The interiors of giant planets: Models and outstanding questions. Ann. Rev. Earth Planet. Sci., 33, 493--530.
  • Heimpel, M., Aurnou, J., 2007 : Turbulent convection in rapidly rotating spherical shells: A model for equatorial and high latitude jets on Jupiter and Saturn. Icarus, 187, 540--557.
  • Lian, Y. Showman, A. P., 2010 : Generation of equatorial jets by large-scale latent heating on the giant planets. Icarus, 207, 373--393.
  • Liu, J., Schneider, T., 2010 : Mechanisms of jet formation on the giant planets. J. Atmos. Sci., 67, 3652--3672.
  • Nozawa, T., Yoden, S., 1997 : Formation of zonal band structure in forced two-dimensional turbulence on a rotating sphere. Phys. Fluids, 9, 2081—2093.
  • Obuse, K, Takehiro, S., Yamada, M., 2010 : Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere. Phys. Fluids, 22, 056601.
  • Pedlosky, J., 1987 : Geophysical Fluid dynamics, Springer-Verlag.
  • Pirraglia, J. A., 1984 : Meridional energy balance of Jupiter. Icarus, 59, 169--76.
  • Saito, I., Ishioka, K., 2015: Mechanism for the Formation of Equatorial Superrotation in Forced Shallow-Water Turbulence with Newtonian Cooling. J. Atmos. Sci., 72, 1466--1483.
  • Scott, R. K., Polvani, L. M., 2007: Forced-dissipative shallow-water turbulence on the sphere and the atmospheric circulation of the giant planets. J. Atmos. Sci., 64, 3158--3176.
  • Scott, R. K., Polvani, L. M., 2008 : Equatorial superrotation in shallow water atmospheres. Geophys. Res. Lett., 35, L24202.
  • Schneider, T., Liu, J., 2009 : Formation of jets and equatorial superrotation on Jupiter. J. Atmos. Sci., 66, 579--601.
  • Sukoriansky, S., Galperin, B., Dikovskaya, N., 2002 : Universal spectrum of two-dimensional turbulence on a rotating sphere and some basic features of atmospheric circulation on giant planets. Phys. Rev. Lett., 89, 124501-1--4.
  • Sun, Z.-P., Schubert, G., 1995 : Numerical simulations of thermal convection in a rotating spherical fluid shell at high Taylor and Rayleigh numbers. Phys. Fluids, 7, 2686--2699.
  • Williams, G. P., 1978: Planetary circulations: I. Barotropic representation of Jovian and terrestrial turbulence. J. Atmos. Sci., 35, 1399--1426.