The Generalized Inverse of a Nonlinear Quasigeostrophic Ocean Circulation Model Public Deposited

http://ir.library.oregonstate.edu/concern/defaults/g445ck44b

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • The generalized inverse is constructed for a nonlinear, single-layer quasigeostrophic model, together with initial conditions and a finite number of interior data. With the exception of doubly Periodic boundary condition all constraints are weak. The inverse minimizes a penalty functional that is quadratic in the errors in prior estimates of the model forcing, the initial conditions, and the measurements. The quadratic form consists of the inverses of the prior error covariances. The nonlinear Euler-Lagrange equations are solved iteratively. Each iterate is a linear Euler-Lagrange problem, which in turn is solved in terms of a prior streamfunction estimate, plus a finite-linear combination of representers (one for each linear measurement functional). The sequence of inverse streamfunction estimates is bounded and so has at least one limit Point. The sequence of representer matrices is uniformly positive definite and so the limiting inverse is a minimum, rather than simply an extremum of the penalty functional. The streamfunction estimated with the weak constraint inverse is compared. with the result of a strong constraint inverse, which is identical in every respect, except that the prior estimate of the model forcing is assumed to be exact. A statistical linearization about the limiting inverse yields the inverse or posterior error covariance. Similarly, the reduced penalty functional is a χ² variable with as many effective degrees of freedom as the observing system. The algorithm is easily implemented on multiple-processor computers. The parameter experiments reported here were Performed on a 128-processor Intel iPSC/860 and also on a single-processor workstation. The formal number of degrees of freedom exceeded a quarter of a million. The representer algorithm is tractable and stable since it identifies the five number of degrees of freedom, namely, the number M of measurements. Here M = 128.
Resource Type
DOI
Date Available
Date Issued
Citation
  • Bennett, Andrew F., Michael A. Thorburn, 1992: The Generalized Inverse of a Nonlinear Quasigeostrophic Ocean Circulation Model. Journal of Physical Oceanography, 22(3), 213–230.
Rights Statement
Publisher
Peer Reviewed
Replaces
Additional Information
  • description.provenance : Submitted by Deborah Campbell (deborah.campbell@oregonstate.edu) on 2011-12-12T21:51:41Z No. of bitstreams: 1 BennettAndrewF.CEOAS.GeneralizedInverseNonlinear.pdf: 1514695 bytes, checksum: 5824f703aabbefc68d580bb510cb2388 (MD5)
  • Journal of Physical Oceanography
  • description.provenance : Made available in DSpace on 2011-12-30T17:29:04Z (GMT). No. of bitstreams: 1 BennettAndrewF.CEOAS.GeneralizedInverseNonlinear.pdf: 1514695 bytes, checksum: 5824f703aabbefc68d580bb510cb2388 (MD5) Previous issue date: 1992-03
  • description.provenance : Approved for entry into archive by Sue Kunda(sue.kunda@oregonstate.edu) on 2011-12-30T17:29:04Z (GMT) No. of bitstreams: 1 BennettAndrewF.CEOAS.GeneralizedInverseNonlinear.pdf: 1514695 bytes, checksum: 5824f703aabbefc68d580bb510cb2388 (MD5)
  • Vol. 22 no. 3

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items