An analytical solution for vertical infiltration in bounded profiles
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908277194883072 |
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| author | Argyrokastritis, Ioannis Kalimeris, Konstantinos Mindrinos, Leonidas |
| author_facet | Argyrokastritis, Ioannis Kalimeris, Konstantinos Mindrinos, Leonidas |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_14138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An analytical solution for vertical infiltration in bounded profiles Argyrokastritis, Ioannis Kalimeris, Konstantinos Mindrinos, Leonidas Analysis of PDEs Mathematical Physics 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. |
| title | An analytical solution for vertical infiltration in bounded profiles |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2402.14138 |