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Atmospheric Modeling

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William Heres

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Jul 6, 1993, 8:10:33 PM7/6/93
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I am looking for a brief summary of different theories of numerical models of the
atmosphere, i.e. spectral methods, etc.

I need to have some familiarity with some models...like what the theory is based on. It does not need to be mathematical in context.

Any suggestions?

Thanks,

Will Heres
hw...@conx.bu.edu

Raghuram G Murtugudde

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Jul 6, 1993, 11:35:06 PM7/6/93
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A chapter out of Climate System Modeling by Kevin Trenberth (Ed.) is
a good start. It has a very good bibliography.

George Fisher

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Jul 7, 1993, 10:10:00 AM7/7/93
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In article <1993Jul7.0...@news.columbia.edu>, rg...@cunixf.cc.columbia.edu (Raghuram G Murtugudde) writes...

>In article <21d49p$8...@news.bu.edu> hw...@acs.bu.edu (William Heres) writes:
>>
>>I am looking for a brief summary of different theories of numerical models of the
>>atmosphere, i.e. spectral methods, etc.
>>
> >
> A chapter out of Climate System Modeling by Kevin Trenberth (Ed.) is
> a good start. It has a very good bibliography.
>

The full reference is Kevin Trenberth (Ed), 1992, Climate System Modeling;
Cambridge University Press, New York, 788 p. Chapter 4 by Murray Salby
(p 53 - 116) gives a general review of processes in the atmosphere, and
chapter 10 by Jeffrey Kiehl (p 319 - 370) reviews general circulation
modeling. Several other chapters deal with atmospheric components of
climate models. This book is a _very_ good place to start.

to...@skool.ssec.wisc.edu

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Jul 7, 1993, 7:56:35 PM7/7/93
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also you might consider:

A climate modelling primer / A. Henderson-Sellers and K. McGuffie.
-- Chichester ; New York : Wiley, c1987.

and

An introduction to three-dimensional climate modeling / Warren M.
Washington, Claire L. Parkinson. -- Mill Valley, CA : University
Science Books ; Oxford, New York : Oxford University Press, 1986.

--
mt

Stuart W. Marlatt

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Jul 8, 1993, 7:18:11 PM7/8/93
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In article <21d49p$8...@news.bu.edu> hw...@acs.bu.edu (William Heres) writes:
>

Well, that is an awfully big topic. You will probably not find
complete synopsis in any one place. A decent start, however,
might be:
Pielke, R.A. 1984
Mesoscale Meteorological Modeling
Academic Press, NY

Obviously, this is mesoscale. If you're looking for larger
models (GCM), I'm afraid I'm not too familiar. If you're
looking for smaller scales, LES and DNS, then I can
post a number of references, though I can't think of a
single summary of techniques. For small scales, there
are a number of schemes being used, including finite
differences (2nd order centered, higher (4th+) order
centered, upwinded, upwind biased, etc.), spectral
(Fourier, Chebyshev (generally via some mapping),
Jacobi polynomials, etc.), finite volume (sorry,
not my area, at least not yet), and others.
Temporal discretization (time stepping) schemes
are also wide ranging: explicit (1st order forward,
2nd order Adams-Bashforth, MacCormack predictor-corrector,
etc.), leap frog, Runge-Kutta, implicit (Crank-Nicolson,
RK, etc), and various time-split techniques. Be nice
to see someone summarize these in one place. Various
examinations of methods have been published - check
out past issues of J. Comp. Physics, Monthly Weath. Rev.,
J. Fluid Mech., Physics of Fluids A, J. Atmos. Sci. -
those are the main sources, unless I've forgotten
something obvious.

As for what methods are used with what models, I'd have to
look. The few I know well are DNS codes:
Coleman's Ekman layer DNS (Spalart's Code):
Horizontally: Fourier (? - been a while since I looked)
Vertically: Jacobi polynomials
Marlatt's Ekman transition DNS (Danabasoglu code):
Streamwise: 4th order centered finite differences
Spanwise: Fourier pseudo-spectral
Vertical: mapped Chebyshev polynomials
Marlatt's turbulent Ekman layer (my code):
Horizontally: Fourier and 5th order upwind biased FD
Vertical: 4th order centered and 5th order upwind biased FD

Hope this helps a little.


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s.w. marlatt, <>< & *(:-) Prov. 25.2
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