The numerical solution of Richards’ equation by means of method of lines and ensemble Kalman filter

Marco Berardi and Michele Vurro

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 125, issue C, 38-47

Abstract: Here a numerical technique based on the method of lines (MoL) for solving Richards’ equation is presented. The Richards’ equation deals with modeling infiltration of water into the unsaturated zone. By means of any kind of observations, some values of the state variable are assumed to be available at certain time points, in order to “correct” the numerical solution in the light of these observations. This is done by means of ensemble Kalman filter (EnKF), that is a data assimilation technique based on a Monte Carlo approach.

Keywords: Unsaturated water flow; Richards’ equation; Method of lines; Data assimilation; Ensemble Kalman filter (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:125:y:2016:i:c:p:38-47

DOI: 10.1016/j.matcom.2015.08.019

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