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

Allen Myron B. | Zendy; Murphy Carolyn | Zendy

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

Author(s) -

Allen Myron B.,

Murphy Carolyn

Publication year - 1985

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690010306

Subject(s) - discretization , porous medium , mathematics , finite element method , collocation (remote sensing) , collocation method , mathematical analysis , porosity , geotechnical engineering , computer science , geology , physics , thermodynamics , differential equation , ordinary differential equation , machine learning

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.

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