The University of Southampton
University of Southampton Institutional Repository

z-Coordinate, an Arbitrary Lagrangian–Eulerian coordinate separating high and low frequency motions

Leclair, Matthieu and Madec, Gurvan (2011) z-Coordinate, an Arbitrary Lagrangian–Eulerian coordinate separating high and low frequency motions Ocean Modelling, 37, (3-4), pp. 139-152. (doi:10.1016/j.ocemod.2011.02.001).

Record type: Article


A new geopotential based vertical coordinate, named View the MathML source, is presented, that treats external motions as a z*-coordinate, internal low frequency motions in a Eulerian way and high frequency ones in a Lagrangian way. To that purpose, a prognostic equation for the low frequency horizontal flux divergence is added in the system in order to discriminate between low and high frequency parts of vertical motions. This coordinate keeps the intrinsic advantages of the z-coordinate while enabling a drastic reduction of the spurious diapycnal mixing induced by vertical and lateral schemes truncation errors associated with high frequency motions in level models. An idealised experiment illustrates this property in an internal wave propagation framework. The reduction of Eulerian vertical velocities enables a proportional reduction of the associated advection schemes truncation errors. Following high frequency motions, the View the MathML source-coordinate lets lateral schemes operate along tracer anomalies created by those motions.

Full text not available from this repository.

More information

Published date: 2011
Keywords: ALE, Vertical coordinate, NEMO, Spurious diapycnal mixing
Organisations: Marine Systems Modelling


Local EPrints ID: 178157
ISSN: 1463-5003
PURE UUID: a332d0d7-65ec-4485-abc7-321bcdaaeaa2

Catalogue record

Date deposited: 23 Mar 2011 09:33
Last modified: 18 Jul 2017 12:05

Export record


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.