Peculiarities of Computer Simulation and Statistical Representation of Time-Spatial Metocean Fields

The integral property of hydrometeorological fields (atmospheric pressure, wind speed, wind waves, temperature and salinity of seawater, sea currents) is their spatial—time variability caused by superposition and interaction of a large number of factors. Characteristic ranges of variability are interannual variability (cyclicity of fluctuations more than one year), annual cycles, synoptic variability (time scale of fluctuations from one day to several days), daily cycles, small-scale fluctuations (cyclicity from several seconds to one hour). The presence of multiscale variability causes nonstationarity of hydrometeorological processes. Variety of active factors results in spatial heterogeneity of fields (stratification of surface layer and seawater, movement of baric formations in an atmosphere and mesoscale eddies in oceans and seas).

[1]  H. Hotelling.  Relations Between Two Sets of Variates , 1936 .

[2]  Paul H. LeBlond.  Ocean wave modeling: The SWAMP Group. Plenum Press, New York, 1985, vi + 256 pp., US$ 49.50, hardback. , 1986 .

[3]  Anthony Ralston,et al.  Statistical Methods for Digital Computers. , 1980 .

[4]  李幼升,et al.  Ph , 1989 .

[5]  K. Jöreskog.  Factor analysis by least squares and maximum likelihood methods , 1977 .

[6]  David R. Brillinger,et al.  Time Series: Data Analysis and Theory. , 1982 .

[7]  Michel Benoit,et al.  DEVELOPMENT OF A THIRD GENERATION SHALLOW-WATER WAVE MODEL WITH UNSTRUCTURED SPATIAL MESHING , 2010 .

[8]  Richard A. Johnson,et al.  Applied Multivariate Statistical Analysis , 1983 .

[9]  Hendrik L. Tolman,et al.  A Third-Generation Model for Wind Waves on Slowly Varying, Unsteady, and Inhomogeneous Depths and Currents , 1991 .

[10]  Gene H. Golub,et al.  Matrix computations , 1983 .

[11]  A. Balakrishnan.  Applied Functional Analysis , 1976 .

[12]  Marcel J. F. Stive,et al.  PERFORMANCE OF A SPECTRAL WIND-WAVE MODEL IN SHALLOW WATER , 2010 .

[13]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[14]  J. Schmee.  An Introduction to Multivariate Statistical Analysis , 1986 .

[15]  Sea Wave Modeling.  Ocean wave modeling , 1985 .

[16]  C. Fox.  Variational Methods for Eigenvalue Problems. By S. H. Gould. Pp. xiv, 179. 48s. 1957. (University of Toronto Press and Oxford University Press) , 1959, The Mathematical Gazette.

[17]  Kari Karhunen,et al.  Über lineare Methoden in der Wahrscheinlichkeitsrechnung , 1947 .

[18]  R. C. Ris,et al.  Spectral Modelling of Wind Waves in Coastal Areas , 1997 .

[19]  D. Brillinger.  Time series - data analysis and theory , 1981, Classics in applied mathematics.