Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)

In this study, the estimation of the flow field in open channel is carried out based on the finite element method and the Kalman filter theory. As the governing equation, the shallow water equation is employed, and the finite element and the selective lumping methods are applied to discretize the go...

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Main Authors: Takahiko KURAHASHI, Taichi YOSHIARA, Yasuhide KOBAYASHI
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2016-02-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/82/835/82_15-00605/_pdf/-char/en
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author Takahiko KURAHASHI
Taichi YOSHIARA
Yasuhide KOBAYASHI
author_facet Takahiko KURAHASHI
Taichi YOSHIARA
Yasuhide KOBAYASHI
author_sort Takahiko KURAHASHI
collection DOAJ
description In this study, the estimation of the flow field in open channel is carried out based on the finite element method and the Kalman filter theory. As the governing equation, the shallow water equation is employed, and the finite element and the selective lumping methods are applied to discretize the governing equation in space and time, respectively. The estimation of the distribution of the velosity vector and the water elevation is carried out by using the equations obtained by the Kalman filter theory. In the numerical experiments, the open channel flow is treated, and some examinations are carried out by changing the observation variables, number and posision of observation points.
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spelling doaj.art-7dfa9333ab1b46fcbdbfc56848ab17ac2022-12-22T04:16:09ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612016-02-018283515-0060515-0060510.1299/transjsme.15-00605transjsmeVerification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)Takahiko KURAHASHI0Taichi YOSHIARA1Yasuhide KOBAYASHI2Deparment of Mechanical Engineering, Nagaoka University of TechnologyDeparment of Mechanical Engineering, Nagaoka University of TechnologyDeparment of Mechanical Engineering, Nagaoka University of TechnologyIn this study, the estimation of the flow field in open channel is carried out based on the finite element method and the Kalman filter theory. As the governing equation, the shallow water equation is employed, and the finite element and the selective lumping methods are applied to discretize the governing equation in space and time, respectively. The estimation of the distribution of the velosity vector and the water elevation is carried out by using the equations obtained by the Kalman filter theory. In the numerical experiments, the open channel flow is treated, and some examinations are carried out by changing the observation variables, number and posision of observation points.https://www.jstage.jst.go.jp/article/transjsme/82/835/82_15-00605/_pdf/-char/enfinite element methodkalman filter theoryestimation of flow fieldnumber of observation variablesnumber of observation pointsposition of observation points
spellingShingle Takahiko KURAHASHI
Taichi YOSHIARA
Yasuhide KOBAYASHI
Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
Nihon Kikai Gakkai ronbunshu
finite element method
kalman filter theory
estimation of flow field
number of observation variables
number of observation points
position of observation points
title Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
title_full Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
title_fullStr Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
title_full_unstemmed Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
title_short Verification of estimation accuracy of flow field in shallow water region based on Kalman filter finite element method (Influence of observation variables, number and posision of observation points for estimation accuracy)
title_sort verification of estimation accuracy of flow field in shallow water region based on kalman filter finite element method influence of observation variables number and posision of observation points for estimation accuracy
topic finite element method
kalman filter theory
estimation of flow field
number of observation variables
number of observation points
position of observation points
url https://www.jstage.jst.go.jp/article/transjsme/82/835/82_15-00605/_pdf/-char/en
work_keys_str_mv AT takahikokurahashi verificationofestimationaccuracyofflowfieldinshallowwaterregionbasedonkalmanfilterfiniteelementmethodinfluenceofobservationvariablesnumberandposisionofobservationpointsforestimationaccuracy
AT taichiyoshiara verificationofestimationaccuracyofflowfieldinshallowwaterregionbasedonkalmanfilterfiniteelementmethodinfluenceofobservationvariablesnumberandposisionofobservationpointsforestimationaccuracy
AT yasuhidekobayashi verificationofestimationaccuracyofflowfieldinshallowwaterregionbasedonkalmanfilterfiniteelementmethodinfluenceofobservationvariablesnumberandposisionofobservationpointsforestimationaccuracy