HR: 0830h
AN: OS11A-16    [Abstracts]
TI: A Complementary Error Model for a Finite Difference Linear Barotropic Ocean Model
AU: * Perkins, A L
EM: louise.perkins@usm.edu
AF: University of Southern Mississippi Long Beach, 730 Beach Blvd., Long Beach, MS 39560 United States
AU: Zand, F
EM: farnaz.zand@usm.edu
AF: University of Southern Mississippi Long Beach, 730 Beach Blvd., Long Beach, MS 39560 United States
AB: We construct an error model to complement a finite difference barotropic ocean model. We discuss and illustrate how this error model augments the simulation to provide a more comprehensive interpretation of the model results. Our method of construction works for systems of partial differential equations numerically approximated with finite differences. We transform the truncated portions of fully dimensional Taylor Series term expansions to frequency space. The transformation replaces the higher order, unknown and un-modelled partial derivatives in physical space with harmonic components in frequency space whose impact can be understood within the approximation space associated with a given numerical grid. The result is a complementary error model for a given numerical approximation running on a given grid. The construction of the error model requires the transformation of the function itself, which may be estimated from data sources. Alternatively a test function may be used. The technique works whenever a Taylor Series representation of a function is available. We note that the Taylor Series remainder term may also be used to produce an error bound for our error model.
DE: 4255 Numerical modeling
SC: Ocean Sciences [OS]
MN: 2005 Joint Assembly