Zero-Inertial Recession for Kinematic-Wave Model
Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 4
Abstract
Kinematic-wave models of surface irrigation assume a fixed relationship between depth and discharge (typically, normal depth). When surface-irrigation inflow is cut off, the calculated upstream flow depth goes to zero, because the discharge is zero. For short time steps, use of the kinematic-wave model can create an incorrect water-surface profile. Issues include difficulty in solving the continuity equation in the first upstream cell and a calculated adverse water-surface profile. The kinematic-wave model produces a recession time at the upstream boundary that is too small, that can lead to incorrect calculation of recession times when water continues to recede from the surface. This problem becomes more severe for smaller values of bottom slope. In this paper, we present a zero-inertia approximation to the water-surface profile at cutoff, which can be extended to the start of recession, after which calculations continue with the kinematic-wave model.
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References
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© 2011 American Society of Civil Engineers.
History
Received: Dec 11, 2009
Accepted: Aug 30, 2010
Published online: Sep 3, 2010
Published in print: Apr 1, 2011
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