The Resource An iterative algorithm for variational data assimilation problems, by Xin Shen

An iterative algorithm for variational data assimilation problems, by Xin Shen

Label
An iterative algorithm for variational data assimilation problems
Title
An iterative algorithm for variational data assimilation problems
Statement of responsibility
by Xin Shen
Creator
Contributor
Author
Sponsor
Subject
Language
eng
Summary
"Data assimilation is a very powerful and efficient tool to use collected raw data for improving model prediction in numerical weather forecasting, hydrology, and many other areas of geosciences. In this thesis, an iterative algorithm [23] of variational data assimilation with finite element method is utilized to study different models. One motivation for this fundamental mathematical study is to provide a potential tool for simulation of CO2 sequestration by extending it to more realistic and sophisticated models in the future. The basic idea of variational data assimilation is to utilize the framework of optimal control problems. We apply the iterative algorithm with corresponding discretization formulation of the model equations to approximate the optimal control in the variational data assimilation problems. We conduct a group of comprehensive numerical experiments for both the second order parabolic equation and Stokes equation. These two models are critical to study Darcy's law and Stokes-Darcy problems for CO2 sequestration, especially for the CO2 storage in fractured reservoir and the leakage around the natural faults. One key point for this method of data assimilation is the derivation of the adjoint models. For the convenience of computation, we discretize the adjoint models in the operator formulation into the corresponding discretized matrix formulation. We focus on the application of the iterative algorithm to the second order parabolic equation and Stokes equation with different numerical tests for the parameter sensitivity, convergence, accuracy, and efficiency of the algorithm. At each step of the iteration, there are three major stages: solving original forward equation with the current control, solving backward adjoint equation with the observation and the current solution of the forward equation, and updating the control for the next iteration step. Finite elements are utilized for the spatial discretization, finite difference schemes are utilized for temporal discretization, and the conjugate gradient method is utilized for solving the control equation in order to update the control. The numerical results illustrate that the iterative algorithm is stable and efficient for variational data assimilation problems"--Abstract, page iii
Member of
Cataloging source
UMR
http://library.link/vocab/creatorName
Shen, Xin
Degree
M.S.
Dissertation year
2014.
Funding information
Partially supported by the Department of Energy
Granting institution
Missouri University of Science and Technology
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorName
United States
http://library.link/vocab/subjectName
  • Simulation methods
  • Mathematical models
  • Carbon sequestration
Label
An iterative algorithm for variational data assimilation problems, by Xin Shen
Instantiates
Publication
Note
Vita
Bibliography note
Includes bibliographic references (pages 39-41)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
902736374
Extent
1 online resource (vii, 42 pages)
Form of item
online
Governing access note
These materials are protected under copyright by the original author
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Specific material designation
remote
System control number
(OCoLC)902736374
Label
An iterative algorithm for variational data assimilation problems, by Xin Shen
Publication
Note
Vita
Bibliography note
Includes bibliographic references (pages 39-41)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
902736374
Extent
1 online resource (vii, 42 pages)
Form of item
online
Governing access note
These materials are protected under copyright by the original author
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Specific material designation
remote
System control number
(OCoLC)902736374

Library Locations

  • St. Louis Mercantile LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • Thomas Jefferson LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • University ArchivesBorrow it
    703 Lewis Hall, Columbia, MO, 65211, US
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • Ward E Barnes Education LibraryBorrow it
    8001 Natural Bridge Rd, St. Louis, MO, 63121, US
    38.707079 -90.311355
Processing Feedback ...