Abstract

Most weather and climate models simulate circulations by numerically approximating a complex system of partial differential equations that describe fluid flow. These models also typically use one of a few standard methods to parameterize the effects of smaller-scale circulations such as convective plumes. This paper discusses the continued development of a radically different modeling approach. Rather than solving partial differential equations, the author’s Lagrangian models predict the motions of individual fluid parcels using ordinary differential equations. They also use a unique convective parameterization, in which the vertical positions of fluid parcels are rearranged to remove convective instability. Previously, a global atmospheric model and basin-scale ocean models were developed with this approach. In the present study, components of these models are combined to create a new global Lagrangian ocean model (GLOM), which will soon be coupled to a Lagrangian atmospheric model. The first simulations conducted with the GLOM examine the contribution of interior tracer mixing to ocean circulation, stratification, and water mass distributions, and they highlight several special model capabilities: (1) simulating ocean circulations without numerical diffusion of tracers; (2) modeling deep convective transports at low resolution; and (3) identifying the formation location of ocean water masses and water pathways.

Highlights

  • Many aspects of geophysical fluid dynamics are most modeled in a frame of reference that moves along with the fluid

  • The Lagrangian atmospheric model (LAM) has a unique spherical geometry [4], which as we note below is shared by the new global Lagrangian ocean model (GLOM), which makes the GLOM well suited for coupling to the LAM

  • [4] This paper presents the first simulations conducted with the GLOM, which provide evidence of its usefulness as a climate modeling tool, and help to illustrate the role of interior tracer mixing in maintaining global ocean circulation and stratification

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Summary

Introduction

Many aspects of geophysical fluid dynamics are most modeled in a frame of reference that moves along with the fluid. This paper discusses the development of a fully Lagrangian model for simulating global ocean circulations. The LAM has already had success in simulating the Madden Julian Oscillation (MJO) [4,5,6], a planetary scale tropical weather disturbance [7] that is poorly represented in many atmospheric models [8,9,10], and which has global impacts on weather and climate [11,12,13]. The MJO represents a component of the global atmospheric circulation that is predictable at much longer time scales than mid-latitude baroclinic waves [14]. There are many other potential advantages and applications for a fully Lagrangian global ocean model

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