Numerical modelling of random fields in the problem of athmosphere-ocean optics

Abstract

The paper deals with the numerical modelling of random cloud fields and undulated sea surface when solving the problems of radiation transfer in an ocean-atmosphere system.

<title>Statistical modeling of stochastic problems of the atmosphere and ocean optics</title>

“…The selection of the parameter c is determined by the cloud amount no. If ij(x, y) is the homogeneous random Gaussian field, we have In [10], as i(x, y) there was taken a Gaussian homogeneous isotropic random field with the correlation function:…”

“…Besides, using the homogeneous random fields, we can construct the models of stratified cloudiness with stochastic upper and lower boundaries. In [10] , there are given examples of calculating the albedo and the transmission of solar radiation for the stochastic cloud system discussed. Trajectories were simulated by the "maximum cross-section" technique [1 ,6] .…”

“…(7) is in the necessity to find at each trajectory node the roots of equation r+wtiç, C ((r+W)j,({(r+Wt)j]). (10) In the general case, the determination of roots of Eq. (10) requires high computational costs.…”

“…4 is shown the modelled topography of the sea surface. The surface of sea swell was numerically modelled by the method of spectrum randomization (see [13]) in [10] for Gaussian random homogeneous field with spectral density (2.1) and approximate model In Fig. 5 here is presented the result ofcalculat.ion (see {10J) ofthe shaded area ofthe sea surface, i.e.…”