Duke Applied Mathematics

Publications [#244200] of Thomas P. Witelski

Papers Published

1. Witelski, TP, Perturbation Analysis for Wetting Fronts in Richards' Equation, Transport in Porous Media, vol. 27 no. 2 (January, 1997), pp. 121-134 [gz], [doi]
   (last updated on 2024/04/19)

   Abstract:
   Perturbation methods are used to study the interaction of wetting fronts with impervious boundaries in layered soils. Solutions of Richards' equation for horizontal and vertical infiltration problems are considered. Asymptotically accurate solutions are constructed from outer solutions and boundary-layer corrections. Results are compared with numerical simulations to demonstrate a high level of accuracy.