A coupled mesoscale object-oriented model
Developed using original Fortran code of NH3D model by :
P. Miranda, M. Teixeira, R. Room, et al. (Univ. Reading, Lisbon and Tartu), V. Stepanenko (Moscow
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State University)
ContentsMotivation Overview Equations Active Work References MotivationOverview
The model includes :
The 1-dimensional lake model - Lake [6] The atmosphere shortwave (Clirad-SW) and longwave (Clirad-LW) solar radiation, [7-8] The specific aerosol advection-diffusion - SmolarkiewiczTEScheme - an object-oriented implementation of MPDATA [9]
EquationsThe model solves the set of atmosphere hydro-thermodynamics equations in sigma-coordinates defined in [1-5] :
Here t — time, x, y — horizontal coordinates, σ = (p - pt) / (psurf - pt) — vertical σ-coordinate, other variables and notations see in Model Definitions. (1) - (3) are the flow equations, (4) — the heat transfer equation, (5) — the continuity equation, (6) - (8) — equations for atmospheric moisture (vapour, rain and cloud drops).
Values of Di, where i = u,v,w,Ѳ,… define the turbulence diffusion of the corresponsing variables, Ri, i = u,v,w,Ѳ,… — an additional terms denoting external driving forces. Thermodynamical variables are measured in mesoscale deviations from the background state.
Applying the divergence operator to (1) - (3), as shown in [1] leads to :
where L and M are the 2nd order linear differential operators, and
f = f(x,y,σ).
Active WorkReferencesP. M. Miranda. Gravity waves and wave drag in flow past three dimensional isolated mountains. - Phd Thesis, University of Reading, 1990, 191 pp. M. A. Teixeira, and P. M. Miranda. The introduction of warm rain microphysics in the NH3d atmospheric model. - Technical report, University of Lisbon, 1997, pp. 22. M. J. Miller, and A. A. White. On the non hydrostatic equations in pressure and sigma coordinates. Quart. J. R. Met. Soc., Vol. 110, 1984, pp. 515 - 533. В. М. Степаненко, П. М. Миранда, В. Н. Лыкосов. Численное моделирование мезомасштабного взаимодействия атмосферы и гидрологически неоднородной суши. - Вычислительные технологии. 2006. Т. 11. Избранные доклады Международной конференции по измерениям, моделированию и информационным системам для изучения окружающей среды: ENVIROMIS-2006 (Томск, Россия), часть 3. С. 118-127. В. М. Степаненко. Численное моделирование взаимодействия атмосферы с водоемами суши. Диссертация на соискание ученой степени кандидата физико-математических наук. Москва, 2007. 153 с. E. Dutra, V. Stepanenko, P. A. Miranda, P. Viterbo, D. Mironov, V. N. Lykosov. Evaporation and seasonal temperature changes in lakes of the Iberian Peninsula. - Proc. of the 5th Portuguese-Spanish Assembly of Geophysics and Geodesy, Sevilha, 2006. Chou, M.-D., M.J. Suarez, X.Z. Liang, and M.M.-H. Yan A thermal infrared radiation parameterization for atmospheric studies. - Technical report series on global modeling and data assimilation, NASA/TM-2001-104606, Vol. 19, 55 pp. Chou, M.-D., and M.J. Suarez, 2002: A solar radiation parameterization for atmospheric studies. - Technical report series on global modeling and data assimilation, NASA/TM-1999-10460, Vol. 15, 42-42. P. K. Smolarkiewicz, Len G. Margolin. MPDATA: A Finite-Difference Solver for Geophysical Flows. - Journal of Computational Physics, 1998, v. 140, p. 459-480. [Less]