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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Format: | Article |
Language: | Japanese |
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The Japan Society of Mechanical Engineers
2016-02-01
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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. |
first_indexed | 2024-04-11T15:30:30Z |
format | Article |
id | doaj.art-7dfa9333ab1b46fcbdbfc56848ab17ac |
institution | Directory Open Access Journal |
issn | 2187-9761 |
language | Japanese |
last_indexed | 2024-04-11T15:30:30Z |
publishDate | 2016-02-01 |
publisher | The Japan Society of Mechanical Engineers |
record_format | Article |
series | Nihon Kikai Gakkai ronbunshu |
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 |