Numerical Analysis and Applications

, Volume 1, Issue 3, pp 285–292 | Cite as

Simulation of vector semibinary homogeneous random fields and modeling of broken clouds

Article

Abstract

A vector-valued homogeneous random field is said to be semibinary if its single-point marginal distribution is a sum of a singular distribution and a continuous one. In this paper, we present methods of numerical simulation of semibinary fields on the basis of the correlation structure and the marginal distribution. As an example we construct a combined model of cloud top height and optical thickness using satellite observations.

Key words

simulation of stochastic fields semibinary and quasi-Gaussian random fields correlations marginal distribution simulation of stochastic structure of clouds 

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References

  1. 1.
    Kargin, B.A. and Prigarin, S.M., Simulation of Cumulus Clouds to Investigate Processes of Solar Radiative Transfer in the Atmosphere by Monte Carlo Method, Opt. Atmosf. Ok., 1994, vol. 7, no. 9, pp. 1275–1287.Google Scholar
  2. 2.
    Prigarin, S.M., Martin, A., and Winkler, G., Numerical Models of Binary Random Fields on the Basis of Thresholds of Gaussian Functions, Sib. Zh. Vych. Mat., 2004, vol. 7, no. 2, pp. 165–175.MATHGoogle Scholar
  3. 3.
    Prigarin, S.M. and Marshak, A.L., Numerical Simulation Model of Broken Clouds Adapted to Observation Results, Opt. Atmosf. Ok., 2005, vol. 18, no. 3, pp. 256–263.Google Scholar
  4. 4.
    Piranashvili, Z.A., Some Questions of Statistical-Probabilistic Simulation of Random Processes, in Voprosy issledovaniya operatsii, Tbilisi: Metsniereba, 1966, pp. 53–91.Google Scholar
  5. 5.
    Prigarin, S.M., Methods of Numerical Simulation of Random Processes and Fields, Novosibirsk: Inst. Vych. Mat. Mat. Geofiz., 2005.Google Scholar
  6. 6.
    Mikhailov, G.A., Numerical Construction of a Random Field with a Given Spectral Density, Dokl. Akad. Nauk SSSR, 1978, vol. 238, no. 4, pp. 793–795.MathSciNetGoogle Scholar
  7. 7.
    Prigarin, S.M., Spectral Models of Random Fields in Monte Carlo Methods, Utrecht: VSP, 2001.Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2008

Authors and Affiliations

  1. 1.Institute of Computational Mathematics and Mathematical Geophysics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia
  3. 3.NASAGoddard Space Flight Center (Code 613.2)GreenbeltUSA

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