Several Unresolved Issues in Numerical Modelling of Geophysical Flows

ABSTRACT This paper discusses several issues in the numerical modelling of atmospheric flow which have been left unresolved. These include the influence of partial model resolution of features that are represented in a model by only a few grid points and the implication of this inadequacy in terms of the parametrization of subgrid-scale processes. As a result of nonlinear interactions, this lack of resolution requires the introduction of new parametrization techniques such as “backscatter”, as well as an assessment of the predictability and parametrizability of atmospheric flows as a result of the limited spatial resolution. Examples of these issues are presented in the paper. Among the conclusions is that for large eddy simulations a stochastic subgrid-scale parametrization is needed, while for well-defined surface forced mesoscale systems such as sea breezes, an ensemble-based subgrid-scale representation is adequate. Also introduced in this paper is an additional physical realism to atmospheric models ...

[1]  René Laprise,et al.  The resolution of global spectral models , 1992 .

[2]  Douglas K. Lilly,et al.  Stratified Turbulence and the Mesoscale Variability of the Atmosphere , 1983 .

[3]  Roger A. Pielke,et al.  Thermal compression waves. I: Total‐energy transfer , 1994 .

[4]  Roger A. Pielke,et al.  Further Study on the Predictability of Landscape-Induced Atmospheric Flow. , 1995 .

[5]  K. Lilly The representation of small-scale turbulence in numerical simulation experiments , 1966 .

[6]  R. Pielke,et al.  A comprehensive meteorological modeling system—RAMS , 1992 .

[7]  Roger A. Pielke A Recommended Specific Definition of “Resolution” , 1991 .

[8]  Roger A. Pielke,et al.  Applications of the RAMS Numerical Model to Dispersion over Urban Areas , 1995 .

[9]  F. N. Frenkiel,et al.  Symposium on Turbulent Diffusion in Environmental Pollution , 1974 .

[10]  D. Thomson,et al.  Stochastic backscatter in large-eddy simulations of boundary layers , 1992, Journal of Fluid Mechanics.

[11]  Peter R. Bannon,et al.  Hydrostatic Adjustment: Lamb's Problem. , 1995 .

[12]  A. Staniforth,et al.  Semi-Lagrangian integration schemes for atmospheric models - A review , 1991 .

[13]  D. Leslie,et al.  The application of turbulence theory to the formulation of subgrid modelling procedures , 1979, Journal of Fluid Mechanics.

[14]  Roger A. Pielke,et al.  Large eddy simulation of microburst winds flowing around a building , 1993 .

[15]  J. Chasnov Simulation of the Kolmogorov inertial subrange using an improved subgrid model , 1991 .

[16]  K. S. Gage,et al.  Evidence far a k−5/3 Law Inertial Range in Mesoscale Two-Dimensional Turbulence , 1979 .

[17]  Roger A. Pielke,et al.  Thermal compression waves. II: Mass adjustment and vertical transfer of total energy , 1994 .

[18]  H. Tennekes Turbulent Flow In Two and Three Dimensions. , 1978 .

[19]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[20]  T. M. Georges,et al.  Infrasound from convective storms: An experimental test of electrical source mechanisms , 1976 .

[21]  Roger A. Pielke,et al.  Using thermal compression waves to assess latent heating from clouds , 1993 .

[22]  Roger A. Pielke,et al.  A Three-Dimensional Numerical Model of the Sea Breezes Over South Florida , 1974 .

[23]  Harold Ritchie,et al.  Advantages of Spatial Averaging in Semi-implicit Semi-Lagrangian Schemes , 1992 .

[24]  John L. Lumley,et al.  The structure of atmospheric turbulence , 1964 .

[25]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[26]  K. R. Costigan,et al.  Large eddy simultations of the atmospheric boundary layer east of the Colorado Rockies , 1992 .

[27]  D. Thomson,et al.  Large‐Eddy simulations of the neutral‐static‐stability planetary boundary layer , 1987 .

[28]  A. Robert A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for the Primitive Meteorological Equations , 1982 .

[29]  A. Leonard Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows , 1975 .

[30]  Roger A. Pielke,et al.  Landscape-Induced Atmospheric Flow and its Parameterization in Large-Scale Numerical Models , 1995 .

[31]  Roger A. Pielke,et al.  Error-growth dynamics and predictability of surface thermally induced atmospheric flow , 1993 .