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

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  • Berardi, Marco
  • Vurro, Michele

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.

Suggested Citation

  • Berardi, Marco & Vurro, Michele, 2016. "The numerical solution of Richards’ equation by means of method of lines and ensemble Kalman filter," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 38-47.
    • Handle: RePEc:eee:matcom:v:125:y:2016:i:c:p:38-47
    DOI: 10.1016/j.matcom.2015.08.019
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    Cited by:

    1. Sarker, Pratik & Chakravarty, Uttam K, 2020. "A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 115-142.

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