An Approach toward Energy Balance Simulation over Rugged Terrain

We develop a digital computer model, based upon equilibrium temperature theory, of the magnitudes of the components of the energy balance for a mountainous topographic surface. The model includes an algorithm for calculating slope, exposure, and horizon information for every point on a digitized grid. Incoming solar and thermal radiation are then simulated for every point. At present the model is designed for clear-sky conditions, but it could be modified for cloudy skies. Air temperature and humidity variations are specified by externally defined relations, and values for albedo and soil thermal properties are specified for every point on the grid. Wind speed variation over the grid is not modeled, but is specified by an empirical function. The model simulates net radiation, soil heat flow, sensible and latent heat flow, and surface temperature at specified time intervals. Output is in the form of contour maps.

[1]  Roger G. Barry,et al.  Application of Computed Global Radiation for Areas of High Relief , 1972 .

[2]  A. G. Price,et al.  Energy balance computations of snowmelt in a subarctic area , 1976 .

[3]  S. Outcalt.  A synthetic analysis of seasonal influences in the effects of land use on the urban thermal regime , 1972 .

[4]  A. Brazel,et al.  The observation and simulation of diurnal surface thermal contrast in an Alaskan alpine pass , 1973 .

[5]  W. G. Bickley,et al.  Formulae for Numerical Differentiation , 1941, The Mathematical Gazette.

[6]  M. H. Halstead,et al.  A PRELIMINARY REPORT ON THE DESIGN OF A COMPUTER FOR MICROMETEOROLOGY , 1957 .

[7]  Takashi Sasamori,et al.  A Numerical Study of Atmospheric and Soil Boundary Layers , 1970 .

[8]  M. Estoque.  A numerical model of the atmospheric boundary layer , 1963 .

[9]  Samuel I. Outcalt,et al.  The Development and Application of a Simple Digital Surface–Climate Simulator , 1972 .

[10]  B. J. Garnier,et al.  A Method of Calculating the Direct Shortwave Radiation Income of Slopes , 1968 .

[11]  J. Otterman,et al.  Earth-atmosphere system and surface reflectivities in arid regions from Landsat MSS data , 1976 .

[12]  Richard B. Lee.  THEORY OF THE “EQUIVALENT SLOPE” , 1962 .

[13]  L. Myrup,et al.  A Numerical Model of the Urban Heat Island. , 1969 .

[14]  S. Outcalt,et al.  Computer simulation of the snowmelt and soil thermal regime at Barrow, Alaska , 1975 .

[15]  F. Kasten,et al.  A new table and approximation formula for the relative optial air mass , 1964 .

[16]  J. Deardorff.  Efficient prediction of ground surface temperature and moisture, with inclusion of a layer of vegetation , 1978 .

[17]  G. L. Guymon,et al.  A coupled heat and moisture transport model for Arctic soils , 1974 .

[18]  K. Watson.  Geologic applications of thermal infrared images , 1975, Proceedings of the IEEE.

[19]  Nancy Kerr del Grande,et al.  A DUAL‐WAVELENGTH THERMAL INFRARED SCANNER AS A POTENTIAL AIRBORNE GEOPHYSICAL EXPLORATION TOOL , 1976 .

[20]  W. Brutsaert.  On a derivable formula for long-wave radiation from clear skies , 1975 .

[21]  C. Paulson.  The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer , 1970 .

[22]  J. Joseph.  On the calculation of solar radiation fluxes in the troposphere , 1971 .