Radiative transfer in a static model atmosphere

References

• Arpaci , V. S. and Gözüm , D. 1973 . “Thermal stability of radiating fluids: The Bénard problem” . Phys. Fluids , 16 : 581 – 588 .
   Web of Science ®Google Scholar
• Cash , J. R. and Moore , D. R. 1980 . “A high order method for the numerical solution of two-point boundary value problems” . BIT , 20 : 44 – 53 .
   Google Scholar
• Cash , J. R. and Singhal , A. 1982 . “High order methods for the numerical solution of two-point boundary value problems” . BIT , 22 : 184 – 199 .
   Google Scholar
• Chan , W.-L. 1996 . Radiative Transfer and Cellular Convection in a Model Atmosphere , Ph. D. Dept. of Mathematics UK : Imperial College, University of London .
   Google Scholar
• Chandrasekhar , S. 1960 . Radiative Transfer , New York : Dover .
   Google Scholar
• Chandrasekhar , S. 1961 . Hydrodynamic and Hydromagnetic Stability , Oxford : Clarendon Press .
   Google Scholar
• Christphorides , C. and Davis , S. H. 1970 . “Thermal Instability with Radiative Transfer” . Phys. Fluids , 13 : 222 – 226 .
   Google Scholar
• Curry , J. A. and Webster , P. J. 1999 . Thermodynamics of Atmospheres and Oceans , New York : Academic Press .
   Google Scholar
• Eddington , A. S. 1916 . “On the radiative equilibrium of the stars” . Mon. Not. R. astr. Soc. , 77 : 16 – 35 .
   Google Scholar
• Edwards , J. M. 1990 . “Two-dimensional radiative convection in the Eddington approximation” . Mon. Not. R. astr. Soc. , 242 : 224 – 234 .
   Google Scholar
• Frisch , H. 1970 . “Coupling between radiative transfer and thermal conduction in the chromosphere” . Astron. Astrophys. , 9 : 269 – 276 .
   Google Scholar
• Frisch , H. 1971 . “Non-linear coupling between thermal conduction and radiative Transfer” . Astron. Astrophys. , 13 : 359 – 366 .
   Google Scholar
• Giovanelli , R. G. 1959 . “Radiative transfer in non-uniform media” . Australian Journal of Physics , 12 : 164 – 170 .
   Google Scholar
• Goody , R. M. 1956 . “The influence of radiative transfer on cellular convection” . J. Fluid Mech. , 1 : 424 – 435 .
   Google Scholar
• Hofmeister , A. M. 1999 . “Mantle values of thermal conductivity and the geotherm from phonon lifetimes” . Science , 283 : 1699 – 1706 .
   PubMed Web of Science ®Google Scholar
• Koschmieder , E. L. 1993 . Bénard Cells and Taylor Vortices , Cambridge University Press .
   Google Scholar
• Krook , M. 1955 . “On the solution of equations of transfer” . Astrophys. J. , 122 : 488 – 497 .
   Web of Science ®Google Scholar
• Legait , A. 1982 . “Incompressible convection in a radiating atmosphere” . Astron. Astrohpys. , 108 : 287 – 295 .
   Google Scholar
• Mihalas , D. 1970 . Stellar Atmospheres , Freeman .
   Google Scholar
• Mihalas , D. and Weibel-Mihalas , B. 1999 . Foundations of Radiation Hydrodynamics , Mineola, New York : Dover .
   Google Scholar
• Öziαik , M. N. 1973 . Radiative Transfer and Interactions with Conduction and Convection , New York : Wiley .
   Google Scholar
• Platten , J. K. and Legros , J. C. 1984 . Convection in Liquids , Berlin : Springer-Verlag .
   Google Scholar
• Schwarzschild , K. 1906 . “On the equilibrium of the sun's atmosphere” . Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen. Math.-phys. Klasse. , 195 : 41 – 53 .
   Google Scholar
• Sykes , J. B. 1951 . “Approximate integration of the equation of transfer” . Mon. Not. R. astr. Soc. , 1119 : 377 – 386 .
   Google Scholar
• Unno , W. and Spiegel , E. A. 1966 . “The Eddington Approximation in the Radiative Heat Equation” . Publs. Astr. Soc. Japan , 18 : 85 – 95 .
   Google Scholar