R: Identical Model

RMkolmogorov {RandomFields} | R Documentation

## Identical Model

### Description

`RMkolmogorov` corresponds to a vector-valued random fields 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)

Martin Schlather, schlather@math.uni-mannheim.de

### 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

`RMmodel`, `RMcurlfree`, `RMdivfree`, `RMvector`,

### 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"))

[Package RandomFields version 3.1.50 Index]