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Higher‐order corrections to the flow velocity covariance tensor, revisited
Author(s) -
Deng F.W.,
Cushman J. H.
Publication year - 1998
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/97wr02610
Subject(s) - covariance , moment (physics) , nonlinear system , mathematics , transverse plane , flow (mathematics) , perturbation (astronomy) , statistical physics , mathematical analysis , second moment of area , tensor (intrinsic definition) , vector field , physics , mechanics , classical mechanics , statistics , geometry , quantum mechanics , engineering , structural engineering
Recently the authors presented an accurate (in the variance of fluctuating log conductivity), second‐order solution to the steady, saturated flow problem. The longitudinal, second spatial moment was evaluated numerically on the basis of the perturbation solution, and it was found that second‐order corrections to the head field had little effect on this moment. Here we use the same theory and evaluate the second, transverse spatial moment. We find, in agreement with others, that our theory suggests that the second‐order head corrections, as well as the nonlinear velocity corrections, are important.