1989
DOI: 10.1029/jd094id13p16287
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Rapid calculation of radiative heating rates and photodissociation rates in inhomogeneous multiple scattering atmospheres

Abstract: The solution of the generalized two‐stream approximation for radiative transfer in homogeneous multiple scattering atmospheres is extended to vertically inhomogeneous atmospheres in a manner which is numerically stable and computationally efficient. It is shown that solar energy deposition rates, photolysis rates, and infrared cooling rates all may be calculated with simple modifications of a single algorithm. The accuracy of the algorithm is generally better than 10% so that other uncertainties, such as in ab… Show more

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Cited by 909 publications
(852 citation statements)
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References 30 publications
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“…[4] Snowpack heating and reflectance are predicted with our two-stream, multi-layer SNow, ICe, and Aerosol Radiation model (SNICAR), based on Wiscombe and Warren [1980] and Toon et al [1989]. The present study neglects aerosol effects.…”
Section: Methodsmentioning
confidence: 99%
“…[4] Snowpack heating and reflectance are predicted with our two-stream, multi-layer SNow, ICe, and Aerosol Radiation model (SNICAR), based on Wiscombe and Warren [1980] and Toon et al [1989]. The present study neglects aerosol effects.…”
Section: Methodsmentioning
confidence: 99%
“…It was significantly revised to model the atmospheres of brown dwarfs (Marley et al, 1996;Burrows et al, 1997;Marley et al, 2002), Uranus (Marley & McKay, 1999), cool EGPs (Marley, 1998), and "Hot Jupiters" (Fortney et al, 2005). The basic radiative transfer solving scheme was developed by Toon et al (1989).…”
Section: Atmosphere Modelsmentioning
confidence: 99%
“…They also tested various initial conditions on their own models and find that the cooling tracks differ significantly at young ages (less than ∼5 Myr), which could lead to very different mass or age estimates, based on the luminosity of a given object, or group of objects. Wuchterl & Tscharnuter (2003) have published formation models of stars and brown dwarfs down to 50 M J . These models follow the collapse of an initial cloud all the way to the main sequence, while making the minimum number of a priori assumptions.…”
Section: Introductionmentioning
confidence: 99%
“…Longwave and shortwave radiative fluxes and heating rates are calculated with a two-stream code [Toon et al, 1989b] coupled to the model. Ice crystal singlescattering properties are calculated with a Mie scattering code.…”
Section: Simulations Of Freeze-drying Drivenmentioning
confidence: 99%