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A NOTE ON AN IMPROVED QUASI-LAGRANGIAN ADVECTIVE SCHEME FOR PRIMITIVE EQUATIONS

MUKUT B. MATHURDepartment of Meteorology, Florida State University, Tallahassee, Fla.

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Abstract

Numerical results of time integration of divergent barotropic primitive equations by a quasi-Lagrangian advective scheme, without smoothing, show that the proposed model has the desired property of conserving total energy and potential vorticity following a particle. A scheme to forecast boundary conditions in a manner similar to that in the interior is incorporated which significantly improves the results. The tests are made utilizing a large amplitude sinusoidal perturbation on a basic current as the initial state. Tests are carried out by performing the integration for 8 days.

Abstract

Numerical results of time integration of divergent barotropic primitive equations by a quasi-Lagrangian advective scheme, without smoothing, show that the proposed model has the desired property of conserving total energy and potential vorticity following a particle. A scheme to forecast boundary conditions in a manner similar to that in the interior is incorporated which significantly improves the results. The tests are made utilizing a large amplitude sinusoidal perturbation on a basic current as the initial state. Tests are carried out by performing the integration for 8 days.

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