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

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 Fj?rtoft-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.