Analysis of Remotely Sensed Ocean Data by the Optimal Spectral Decomposition (OSD) Method

Abstract

A new data analysis/assimilation scheme, optimal spectral decomposition (OSD), has been developed to reanalyze fields from noisy and sparse data in a domain with open boundary conditions using two scalar representations for a three-dimensional incompressible flow. The reanalysis procedure is divided into two steps: (a) specification of basis functions in the spectral decomposition from knowledge of boundary geometry and velocity and (b) determination of coefficients in the spectral decomposition for the circulation solving linear or nonlinear regression equations. The basis functions are the eigenfunctions of the Laplacian operator with mixed boundary conditions. The optimization process is used to obtain unique and stable solutions on the base of an iteration procedure with special regularization (the filtration. The capability is demonstrated using various examples.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2010
Accession Number
ADA528083

Entities

People

  • Peter C. Chu

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Boundaries
  • Data Analysis
  • Errors
  • Linear Algebraic Equations
  • Measurement
  • Ocean Basins
  • Ocean Currents
  • Oceans
  • Rossby Waves
  • Sea Surface Temperature
  • Statistics
  • Stratified Fluids
  • Surface Temperature
  • Three Dimensional
  • Topography
  • Trajectories
  • Wave Propagation

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers