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DatoValore
TitleThe numerical solution of Richards' equation by means of method of lines and ensemble Kalman filter
AbstractHere 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. Advantages of this approach are discussed, in the light of existing bibliography.
SourceMathematics and computers in simulation (Print) 125, pp. 38–47
KeywordsData assimilationEnsemble Kalman filterMethod of linesRichards' equationUnsaturated water flow
JournalMathematics and computers in simulation (Print)
EditorNorth-Holland Publishing Company, Amsterdam, Paesi Bassi
Year2016
TypeArticolo in rivista
DOI10.1016/j.matcom.2015.08.019
AuthorsBerardi M. (a,b); Vurro M.(a)
Text358532 2016 10.1016/j.matcom.2015.08.019 Scopus 2 s2.0 84962200728 ISI Web of Science WOS WOS 000373571000004 Data assimilation Ensemble Kalman filter Method of lines Richards equation Unsaturated water flow The numerical solution of Richards equation by means of method of lines and ensemble Kalman filter Berardi M. a,b ; Vurro M. a a Istituto di Ricerca Sulle Acque, Consiglio Nazionale Delle Ricerche, via F. De Blasio 5, Bari, 70132, Italy; b Dipartimento di Fisica, Universita Degli Studi di Bari, Via G. Amendola 173, Bari, 70126, Italy 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. Advantages of this approach are discussed, in the light of existing bibliography. 125 Published version http //www.scopus.com/inward/record.url eid=2 s2.0 84962200728 partnerID=q2rCbXpz The numerical solution of Richards equation by means of method of lines and ensemble Kalman filter 1 s2.0 S0378475415001846 main.pdf Articolo in rivista North Holland Publishing Company 0378 4754 Mathematics and computers in simulation Print Mathematics and computers in simulation Print Math. comput. simul. Print Mathematics and computers in simulation. Print marco.berardi BERARDI MARCO michele.vurro VURRO MICHELE