Abstract
In this paper, we consider a model of soil water and nutrient transport with plant root uptake. The geometry of the plant root system is explicitly taken into account in the soil model. We first describe our modeling approach. Then, we introduce an adaptive mesh refinement procedure enabling us to accurately capture the geometry of the root system and small-scale phenomena in the rhizosphere. Finally, we present a domain decomposition technique for solving the problems arising from the soil model as well as some numerical results.
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We thank Pierre Jolivet for his valuable insights on FreeFem++ and domain decomposition methods.
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Tournier, PH., Hecht, F. & Comte, M. Finite Element Model of Soil Water and Nutrient Transport with Root Uptake: Explicit Geometry and Unstructured Adaptive Meshing. Transp Porous Med 106, 487–504 (2015). https://doi.org/10.1007/s11242-014-0411-7
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DOI: https://doi.org/10.1007/s11242-014-0411-7