Comments on the Newton-Raphson method for obtaining temperature profiles from radiative-convective models

Statistics – Computation

Scientific paper

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Atmospheric Heat Budget, Atmospheric Temperature, Convective Heat Transfer, Newton-Raphson Method, Radiative Heat Transfer, Temperature Profiles, Atmospheric Models, Atmospheric Stratification, Stratosphere, Tropopause

Scientific paper

Mean vertical temperature profiles from radiative-convective models can be rapidly computed using the Newton-Raphson method presented by Coakley (1977). However, care must be taken to solve the equations which ensure radiative equilibrium for the average temperature of each atmospheric layer and not the temperature of each atmospheric level. Further, considerable computational efficiency is achieved by using fixed pressure levels and flux balance rather than cooling-rate balance to ensure radiative equilibrium in the stratospheric layers.

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