https://github.com/cran/RandomFields
Tip revision: 919f138ae97c73da2321579cf0a01351bf9ebff3 authored by Martin Schlather on 11 October 2016, 18:32:27 UTC
version 3.1.24.1
version 3.1.24.1
Tip revision: 919f138
RMkolmogorov.Rd
\name{RMkolmogorov}
\alias{RMkolmogorov}
\title{Identical Model}
\description{
\command{RMkolmogorov} corresponds to a vector-valued random fields with
covariance function
\deqn{
\gamma_{ij}(h) = \|h\|^{2/3}\left(\frac43 \delta_{ij} -
\frac13\frac{h_ih_j}{\|h\|^2}\right)}{
\gamma_{ij}(h) = |h|^{2/3}(4/3 * \delta_{ij} -
1/3 * h_i h_j / \|h\|^2)
}
}
\usage{
RMkolmogorov(var, scale, Aniso, proj)
}
\arguments{
\item{var,scale,Aniso,proj}{optional arguments; same meaning for any
\command{\link{RMmodel}}. If not passed, the above
covariance function remains unmodified.}
}
\value{
\command{\link{RMkolmogorov}} returns an object of class \code{\link[=RMmodel-class]{RMmodel}}.
}
\references{
The above formula is from eq. (6.32) of section 6.2 in
Pope, S.B. (2000) \emph{Turbulent Flows.}
\bold{Cambridge:} Cambridge University Pess.
}
\author{Martin Schlather, \email{schlather@math.uni-mannheim.de}
}
\seealso{
\command{\link{RMmodel}}, \command{\link{RMcurlfree}},
\command{\link{RMdivfree}},
\command{\link{RMvector}},
}
\keyword{spatial}
\keyword{models}
\examples{
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
## RFoptions(seed=NA) to make them all random again
\dontshow{StartExample()}
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"))
\dontshow{FinalizeExample()}
}