A multidomain discretization of the Richards equation in layered soil
نویسندگان
چکیده
منابع مشابه
A Multidomain Discretization of the Richards Equation in Layered Soil
We consider the Richards equation on a domain that is decomposed into nonoverlapping layers, i.e., the decomposition has no cross points. We assume that the saturation and permeability functions are space-independent on each subdomain. Kirchhoff transformation of each subdomain problem separately then leads to a set of semi-linear equations, which can each be solved efficiently using monotone m...
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We present a numerical analysis of an implicit time discretization method applied to Richards’ equation. Written in its saturation-based form, this nonlinear parabolic equation models water flow into unsaturated porous media. Depending on the soil parameters, the diffusion coefficient may vanish or explode, leading to degeneracy in the original parabolic equation. The numerical approach is base...
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15 صفحه اولOrder of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation
We analyze a discretization method for a class of degenerate parabolic problems that includes the Richards’ equation. This analysis applies to the pressure-based formulation and considers both variably and fully saturated regimes. To overcome the difficulties posed by the lack in regularity, we first apply the Kirchhoff transformation and then integrate the resulting equation in time. We state ...
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ژورنال
عنوان ژورنال: Computational Geosciences
سال: 2014
ISSN: 1420-0597,1573-1499
DOI: 10.1007/s10596-014-9461-8