Articles | Volume 16, issue 2
https://doi.org/10.5194/gmd-16-659-2023
https://doi.org/10.5194/gmd-16-659-2023
Development and technical paper
 | 
27 Jan 2023
Development and technical paper |  | 27 Jan 2023

A simple, efficient, mass-conservative approach to solving Richards' equation (openRE, v1.0)

Andrew M. Ireson, Raymond J. Spiteri, Martyn P. Clark, and Simon A. Mathias

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Cited articles

Bear, J. and Cheng, A. H. D.: Modeling groundwater flow and contaminant transport, Vol. 23, in: Theory and Applications of Transport in Porous Media, Springer, Dordrecht, 834, https://doi.org/10.1007/978-1-4020-6682-5, 2010. 
Beven, K., and Germann, P.: Macropores and water flow in soils revisited, Water Resour. Res., 49, 3071–3092, https://doi.org/10.1002/wrcr.20156, 2013. 
Brown, P. N., Hindmarsh, A. C., and Byrne, G. D.: VODE. Variable Coefficient ODE Solver, SIAM J. Sci. Stat. Comp., 10, 1038–1051, https://doi.org/10.1137/0910062, 1989. 
Celia, M. A., Bouloutas, E. T., and Zarba, R. L.: A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26, 1483–1496, https://doi.org/10.1029/WR026i007p01483, 1990. 
Clark, M. P., Fan, Y., Lawrence, D. M., Adam, J. C., Bolster, D., Gochis, D. J., Hooper, R. P., Kumar, M., Leung, L. R., Mackay, D. S., and Maxwell, R. M.: Improving the representation of hydrologic processes in Earth System Models, Water Resour. Res., 51, 5929–5956, 2015. 
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Short summary
Richards' equation (RE) is used to describe the movement and storage of water in a soil profile and is a component of many hydrological and earth-system models. Solving RE numerically is challenging due to the non-linearities in the properties. Here, we present a simple but effective and mass-conservative solution to solving RE, which is ideal for teaching/learning purposes but also useful in prototype models that are used to explore alternative process representations.
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