Not exact matches
While many basic aspects of physics can be included (conservation of mass, energy etc.), many need to be approximated
for reasons of efficiency or resolutions (i.e. the
equations of motion need estimates of sub-gridscale turbulent effects,
radiative transfer codes approximate the line - by - line calculations using band averaging), and still others are only known empirically (the formula
for how fast clouds turn to rain
for instance).
(Even
for a relatively simple example of a gray medium, calculating the equilibrium temperature profile within a homogeneous slab involves a singular Fredholm integral
equation of the second kind as described by M. N. Ozisik in
Radiative Transfer (1973).)
For idealized GCMs, we use the FMS dynamical core (that is, the basic numerical schemes FMS provides for the hydrostatic primitive equations), with various idealizations for the lower boundary conditions, for radiative transfer, and for moist or dry convecti
For idealized GCMs, we use the FMS dynamical core (that is, the basic numerical schemes FMS provides
for the hydrostatic primitive equations), with various idealizations for the lower boundary conditions, for radiative transfer, and for moist or dry convecti
for the hydrostatic primitive
equations), with various idealizations
for the lower boundary conditions, for radiative transfer, and for moist or dry convecti
for the lower boundary conditions,
for radiative transfer, and for moist or dry convecti
for radiative transfer, and
for moist or dry convecti
for moist or dry convection.
is, in the circumstances, gravely damaging to him, since it suggests that he repudiates (
for instance) such proven scientific results as the fundamental
equation of
radiative transfer.
At basic level, It falls out of the
equations for radiative transfer if you increase a greenhouse gas.
For myself, I call into question not the «basic
radiative transfer physics» but the completeness and accuracy of the atmospheric models: all of the
equations are approximations, the response of clouds to CO2 increase and warming are not well known, yet AGW proponents act as though a slight increase in temp following a long increase in CO2 is a sure thing.
The direct
radiative forcing calculation is based on an empiric al
equation derived from well - established atmospheric
radiative energy
transfer models and serves as a first - order proxy
for global warming impact.»
see fred «'' Jeff, the 1C value
for a forcing of 3.7 W / m ^ 2 (the canonical value
for doubled CO2 based on
radiative transfer equations and spectroscopic data) is derived by differentiating the Stefan - Boltzmann
equation that equates flux (F) to a constant (sigma) x the fourth power of temperature.
It's also the case that the results
for the
radiative transfer equations will have a certain amount of error using «band models» compared with the «line by line» (LBL) codes
for all trace gases.
Well, the only way to work out the «expected» results — or what the theory predicts — is to solve the
radiative transfer equations (RTE)
for that vertical profile through the atmosphere.
Can you tell me what is wrong with the standard solution of the
equations for radiative transfer in the atmosphere and how you know this and where you are planning to publish it?
To compute what happens quantitatively, one must solve the
equations for radiative transfer absorption - line by absorption - line through the atmosphere.
With sufficient warming, the same
radiative transfer equations show that upward IR will rise enough
for sufficient quantities to escape to space, albeit at a higher altitude than before, warmed sufficiently so that its IR emissivity allows OLR to balance incoming absorbed radiation.
Jeff, the 1C value
for a forcing of 3.7 W / m ^ 2 (the canonical value
for doubled CO2 based on
radiative transfer equations and spectroscopic data) is derived by differentiating the Stefan - Boltzmann
equation that equates flux (F) to a constant (sigma) x the fourth power of temperature.