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RMkolmogorov

Identical Model


Description

RMkolmogorov corresponds to a vector-valued random field with covariance function

γ_{ij}(h) = |h|^{2/3}(4/3 * δ_{ij} - 1/3 * h_i h_j / \|h\|^2)

Usage

RMkolmogorov(var, scale, Aniso, proj)

Arguments

var,scale,Aniso,proj

optional arguments; same meaning for any RMmodel. If not passed, the above covariance function remains unmodified.

Value

RMkolmogorov returns an object of class RMmodel.

Author(s)

References

The above formula is from eq. (6.32) of section 6.2 in

Pope, S.B. (2000) Turbulent Flows. Cambridge: Cambridge University Pess.

See Also

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again

x <- y <- seq(-2, 2, len=20)
model <- RMkolmogorov()
plot(model, dim=3, MARGIN=1:2, fixed.MARGIN=1)

simu <- RFsimulate(model, x, y, z=0)
plot(simu, select.variables=list(c(1,2)), col=c("red"))

RandomFields

Simulation and Analysis of Random Fields

v3.3.10
GPL (>= 3)
Authors
Martin Schlather [aut, cre], Alexander Malinowski [aut], Marco Oesting [aut], Daphne Boecker [aut], Kirstin Strokorb [aut], Sebastian Engelke [aut], Johannes Martini [aut], Felix Ballani [aut], Olga Moreva [aut], Jonas Auel[ctr], Peter Menck [ctr], Sebastian Gross [ctr], Ulrike Ober [ctb], Paulo Ribeiro [ctb], Brian D. Ripley [ctb], Richard Singleton [ctb], Ben Pfaff [ctb], R Core Team [ctb]
Initial release

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