Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

On the simulation of continuous in scale universal multifractals,part I: Spatially continuous processes
Authors

S. Lovejoy
D. Schertzer
Journal / Anthology

Computers & Geoscience
Year: 2010
Volume: 36
Issue: 11
Page range: 1393-1403
Description

Cascadeprocessesgenericallyleadtomultifractalfieldsandhavebeenusedforsimulatingturbulent systems–includingclouds,rain,temperature,passivescalarsandthewind–aswellasforsolidearth fields, suchasrockdensity,magnetizationandtopography.Inspiteoftheirimportance,most applicationsuseprimitivediscretescaleratioprocesses,whichsingularizescaleswhichareinteger powersofintegers.Realisticsimulationsarecontinuousinscale,butsufferfromstrong‘‘finitesize effects’’i.e.deviationsfrompurepowerlawscaling,whichcantakesurprisinglylargerangesofscaleto disappear.Inthistwopartseries,wequantifyandshowtheoriginoftheproblemandquantifyits magnitude(partI),whileinpartIIweshowhowtolargelyovercomeitandgivea Mathematica code for the correspondingsimulationsforcausalandacausalspace-timesimulations.
Subject

*Unclassified