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arXiv · 2402.14138

An analytical solution for vertical infiltration in bounded profiles

Ioannis Argyrokastritis·Konstantinos Kalimeris·Leonidas Mindrinos
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Abstract

In this study, we derive an analytical solution to address the problem of one-dimensional vertical infiltration within bounded profiles. We consider the Richards equation together with various boundary conditions, simulating different scenarios of water application onto the surface of a homogeneous and bounded medium. To solve the corresponding initial boundary value problem over a finite interval, we apply the unified transform, commonly known as the Fokas method. Through this methodology, we obtain an integral representation that can be efficiently and directly computed numerically, yielding a convergent scheme.

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Ioannis Argyrokastritis, Konstantinos Kalimeris, Leonidas Mindrinos. 2024-02-21. An analytical solution for vertical infiltration in bounded profiles. https://doi.org/10.1111/ejss.13547

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