Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-05-07T02:49:18.621Z Has data issue: false hasContentIssue false

6 - The Time-Dependent Inverse Problem

Published online by Cambridge University Press:  07 May 2010

Carl Wunsch
Affiliation:
Massachusetts Institute of Technology
Get access

Summary

The discussion so far has treated the ocean circulation as though it were steady-apart from concerns about aliasing from components regarded mainly as noise. But one does not really expect a fluid system as complex as the coupled ocean and atmosphere, driven externally by the sun, to remain steady. Indeed, if there were certain elements, describable as a finite band of frequencies and/or wavenumbers, which were truly steady, it would be both a remarkable phenomenon and a very powerful theoretical tool. For this would be a statement that a spectral gap existed, permitting the separation of the flow field into different dynamical regimes, as sometimes assumed in turbulence theories (e.g., Monin & Yaglom, 1975).

Treatment of the ocean circulation as though it were time invariant carries the weight of history and tradition, and there is no doubt that a great deal has been learned about the ocean this way. But as oceanographers become more quantitative in their description of the circulation, it must be recognized that the steadiness assumption has been a consequence of necessity dictated by the paucity of data and intellectual inertia rather than a defensible deduction from fluid dynamics. One must question whether a steady, laminar flow field (as in Figures 2–7, 2–29) could conceivably depict the physics of a fluid that is turbulent in the sense suggested by Figure 1–1.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×