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Modeling Ocean Currents in COMSOL

Modeling Ocean Currents in COMSOL. Reza Malek-Madani Kevin McIlhany U. S. Naval Academy 24 Oct, 2006 rmm@usna.edu. CCBOM. Center for Chesapeake Bay Observation and Modeling Mathematics Oceanography Physics Ocean Engineering Chemistry. Acoustic Wave and Current Profiler (AWAC).

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Modeling Ocean Currents in COMSOL

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  1. Modeling Ocean Currents in COMSOL Reza Malek-Madani Kevin McIlhany U. S. Naval Academy 24 Oct, 2006 rmm@usna.edu

  2. CCBOM • Center for Chesapeake Bay Observation and Modeling • Mathematics • Oceanography • Physics • Ocean Engineering • Chemistry Acoustic Wave and Current Profiler (AWAC)

  3. Velocity Vector Field, Chesapeake Bay, Dec 27, 1999, Courtesy of Tom Gross, NOAA, Coastal Survey Division http://chartmaker.ncd.noaa.gov/csdl/op/images/UVanim.gif

  4. dx/dt = u(x, y, z, t), dy/dt = v(x, y, z, t)

  5. Bathymetry

  6. Deformation –in MATLAB(N. Brasher, RMM, G. Fowler)

  7. Particle Fate – in MATLAB

  8. How do the errors in the velocity field affect the errors in the dynamical systems computations and the particle fates? • Are the statistics of the particle trajectories stable and realizable relative to the statistics of the velocity field? • Are stable and unstable manifolds of the system dx/dt = u, dy/dt = v computable if u and v are known only locally in time (90 day date length) and in space (incomplete data collection)? • New hydrodynamic model

  9. Goals and Strategy • Goals: • Obtain velocity field for the dynamics of the Chesapeake Bay, based on real wind and planetary forcing, and • Apply dynamical systems tools to the velocity field to understand transport and mixing in the Bay. • Strategy: First consider reduced models. • Qualitative Models: Simple geometry – Emphasis on PDEs - Stommel, Munk, Veronis, 2 1/2 layer model, Navier-Stokes, nonlinear Ellipitic PDEs • Complex Geometries: 2D and 3D boundaries of the Chesapeake Bay. Eigenvalue and Poisson Solvers • Comparison With Quoddy (NOAA) model

  10. Stommel’s model 1948 paper, Key Assumptions: 2D, Steady, Rectangular Basin, Bottom Friction Key Features: Wind stress, Coriolis Key Findings: Boundary Layer (“Gulf Stream”) • = stream function Boundary conditions:  = 0 on all four boundaries Scales: N. Atlantic Basin: 10,000 Km by 6000 Km Depth: 200 Meters Coriolis Parameter: 10^(-13)

  11. Munk’s Model Zero boundary conditions Multiphysics approach

  12. Non –Rectangular Geometries

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