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Green-Ampt approximations

delete2005-10-01
delete55
PRE
AI
D
D. A. Barry
J
J.‐Y. Parlange
李玲 (Ling Li)
D
Dong‐Sheng Jeng
M
Martin Crapper
DOI:10.1016/j.advwatres.2005.03.010delete
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摘要

摘要

En 中文
The solution to the Green and Ampt infiltration equation is expressible in terms of the Lambert W-1 function. Approximations for Green and Ampt infiltration are thus derivable from approximations for the W-1 function and vice versa. An infinite family of asymptotic expansions to W-1 is presented. Although these expansions do not converge near the branch point of the W function (corresponds to Green-Ampt infiltration with immediate ponding), a method is presented for approximating W-1 that is exact at the branch point and asymptotically, with interpolation between these limits. Some existing and several new simple and compact yet robust approximations applicable to Green-Ampt infiltration and flux are presented, the most accurate of which has a maximum relative error of 5 x 10(-5)%. This error is orders of magnitude lower than any existing analytical approximations. (c) 2005 Elsevier Ltd. All rights reserved.
Keyword:
Lambert W-1 function approximations
asymptotic expansions
branch point
iteration scheme
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期刊

Advances in Water Resources 封面图
Advances in Water Resources
IF:
4.2
论文数:
4.5K
被引数:
1.5W

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