Numerical Integration of Primitive Equations by a Quasi-Lagrangian Advective Scheme

T. N. Krishnamurti University of California, Los Angeles, Calif.

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Abstract

A quasi-Lagrangian advective scheme for numerical integration of primitive equations is proposed. The advective scheme is built on a successive approximation procedure where the Fjørtoft-type of quasi-Lagrangian advection form an initial guess. The numerical program is tested by constructing some simple analytic problems containing the non-linear advective terms. It is shown that the scheme is also capable of producing very reasonable numerical forecasts for simple initial conditions for problems of mixed and filtered wave motions.

Abstract

A quasi-Lagrangian advective scheme for numerical integration of primitive equations is proposed. The advective scheme is built on a successive approximation procedure where the Fjørtoft-type of quasi-Lagrangian advection form an initial guess. The numerical program is tested by constructing some simple analytic problems containing the non-linear advective terms. It is shown that the scheme is also capable of producing very reasonable numerical forecasts for simple initial conditions for problems of mixed and filtered wave motions.

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