Physics
Scientific paper
May 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002georl..29j..34s&link_type=abstract
Geophysical Research Letters, Volume 29, Issue 10, pp. 34-1, CiteID 1395, DOI 10.1029/2001GL014376
Physics
Hydrology: Unsaturated Zone, Hydrology: General Or Miscellaneous, Hydrology: Stochastic Processes
Scientific paper
At the interface between two dissimilar soils there are typically discontinuities in the water-content and the gradients of both the flux and the soil matric potential (SMP). As the equation of motion for water depends on the gradient of flux, care must be taken to insure that the solution at such an interface obeys the relevant physical conditions. When a SMP-based nodal average scheme is applied to a heterogeneous interface, a fundamental assumption (smoothness in the SMP profile) is violated, which typically leads to poor water balance and/or slow convergence with respect to grid size. We solve the water-content based form of Richards' Equation using continuity in flux and soil matric potential as boundary conditions. Our scheme builds in excellent water balance and typically converges as fast as water-content based schemes for homogeneous soils. We show results for infiltration into a dry, stratified soil.
Morrill J. C.
Schaudt Kimberly J.
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