COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Direct Statistical Simulation of a Two-Layer Primitive Equation Model

## Direct Statistical Simulation of a Two-Layer Primitive Equation ModelAdd to your list(s) Download to your calendar using vCal - Marston, B (Brown University)
- Wednesday 04 December 2013, 11:30-12:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Mathematics for the Fluid Earth Co-authors: Wanming Qi (Brown University), Steve Tobias (University of Leeds) Low-order statistics of the large-scale circulation of planetary atmospheres may be directly accessed by solving the equations of motion for the equal-time statistics. We implement such Direct Statistical Simulation of a two-layer primitive equation model by systematic expansion in the cumulants. The first cumulant is the zonally averaged vorticity, divergence, and temperature as a function of latitude and level, and the second cumulant contains information about nonlocal teleconnections. At second order (CE2) the expansion retains the eddy mean-flow interaction but neglects eddy-eddy interactions and is realizable. Eddy-eddy interactions appear at third (CE3) order, but care must be taken to maintain realizability with a non-negative probability distribution function. The cumulant expansion is conservative, order-by order, in the total angular momentum, total energy, and mean-squared potential temperature. An intermediate approximation, CE2 .5, is related to the Edd y-Damped Quasi-Normal Markovian (EDQNM) approximation and maintains realizability at the expense of the introduction of a phenomenological timescale for eddy damping. First and second cumulants accumulated by time-integration of the two-layer primitive equations are compared with those obtained at the fixed points found at CE2 , CE2.5, and CE3 levels of approximation, and against statistics obtained from reanalysis of the mid-level atmosphere of the Earth. CE2 reproduces qualitative features of the zonal mean general circulation such as the mid-latitude jets. CE2 .5 and CE3 improve quantitative agreement in both the zonal means, and in the teleconnections. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsCollaborative research: funding available for collaborative research out of Science and Technology Funding Council areas. Lister Institute Research Prize Fellowship Talks Division F Financial Modelling Group## Other talksMartin Roth: »Widerrede!« TBC Climate change, species' abundance changes and protected areas Coordination and inequalities in agglomeration payments: evidence from a laboratory experiment Prof Murray Shanahan: Artificial Intelligence Finding the past: Medieval Coin Finds at the Fitzwilliam Museum |