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Chris Newman
Physics-based Preconditioners for Ocean Simulation

Los Alamos National Laboratory
T-3
PO Box 1663 MS B216
Los Alamos
NM 87545
cnewman@lanl.gov
Dana Knoll

We examine physics-based preconditioners for ocean simulation based on barotropic-baroclinic splitting. Physics-based preconditioning is a highly successful approach for multiple time scale problems where an accurate simulation is desired on the dynamical time scale. Our approach is a fully implicit, fully coupled time integration of the momentum and continuity equations of ocean dynamics; thus reducing errors and increasing stability due to traditional operator splitting. The nonlinear system is solved via preconditioned Jacobian-free Newton-Krylov, where we reformulate traditional barotropic-baroclinic splitting as a preconditioner. Thus the desired solution is timestep converged with timesteps on the order of the dynamical timescale. We provide numerical examples to support the study and compare to explicit methods and methods based on operator splitting.





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