A finite element collocation method for variably saturated flows in porous media

作者：Myron B. Allen, Carolyn L. Murphy · 发表于：Numerical Methods for Partial Differential Equations · 年份：1985 · DOI：10.1002/num.1690010306 · 被引用次数：33 · 研究领域：Soil and Unsaturated Flow、Landslides and related hazards、Groundwater flow and contamination studies

Abstract One common formulation of Richard's equation for variably saturated flows in porous media treats pressure head as the principal unknown and moisture content as a constitutive variable. Numerical approximations to this “head‐based” formulation often exhibit mass‐balance errors arising from inaccuracies in the temporal discretization. This article presents a finite‐element collocation scheme using a mass‐conserving formulation. The article also proposes a computable index of global mass balance.