Detail publikace

Simulation of simply cross correlated random fields bz series expansion methods

VOŘECHOVSKÝ, M.

Originální název

Simulation of simply cross correlated random fields bz series expansion methods

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

A practical framework for generating cross correlated fields with a specified marginal distribution function, an autocorrelation function and cross correlation coefficients is presented in the paper. The approach relies on well known series expansion methods for simulation of a Gaussian random field. The proposed method requires all cross correlated fields over the domain to share an identical autocorrelation function and the cross correlation structure between each pair of simulated fields to be simply defined by a cross correlation coefficient. Such relations result in specific properties of eigenvectors of covariance matrices of discretized field over the domain. These properties are used to decompose the eigenproblem which must normally be solved in computing the series expansion into two smaller eigenproblems. Such a decomposition represents a significant reduction of computational effort. Non-Gaussian components of a multivariate random field are proposed to be simulated via memoryless transformation of underlying Gaussian random fields for which the Nataf model is employed to modify the correlation structure. In this method, the autocorrelation structure of each field is fulfilled exactly while the cross correlation is only approximated. The associated errors can be computed before performing simulations and it is shown that the errors happen especially in the cross correlation between distant points and that they are negligibly small in practical situations.

Klíčová slova

Simulation, random fields, method, expansion methods

Autoři

VOŘECHOVSKÝ, M.

Rok RIV

2008

Vydáno

15. 10. 2008

Místo

US

ISSN

0167-4730

Periodikum

Structural Safety

Ročník

30

Číslo

4

Stát

Nizozemsko

Strany od

337

Strany do

363

Strany počet

29

BibTex

@article{BUT49634,
  author="Miroslav {Vořechovský}",
  title="Simulation of simply cross correlated random fields bz series expansion methods",
  journal="Structural Safety",
  year="2008",
  volume="30",
  number="4",
  pages="337--363",
  issn="0167-4730"
}