A model in climate dynamicsA model in climate dynamics

Junping ShiJunping Shi 史峻平史峻平

College of William and MaryCollege of William and MaryWilliamsburg, VA 23187Williamsburg, VA 23187,USA,USA

And And Harbin Normal UniversityHarbin Normal University

Harbin, Heilongjiang, ChinaHarbin, Heilongjiang, China

National Chiao Tung University, Hsinchu, Taiwan, April 19th, 2005

台湾國立交通大學，２００５年四月十九日

Coauthor: Chjan Lim (林健 ) (Rensselaer Polytechnic Institute, USA)

Supported by: ARO W911NF-05-1-0001, DOE DE-FG02-04ER25616 (Lim) NSF grants DMS-0314736, EF-0436318 (Shi)

Introduction Introduction Climate dynamicsClimate dynamics: the movement of atmosphere on the : the movement of atmosphere on the

surface of planet (fluid dynamics, atmospheric and ocean surface of planet (fluid dynamics, atmospheric and ocean dynamics)dynamics)

VorticityVorticity: the curl of the fluid velocity. It can also be : the curl of the fluid velocity. It can also be considered as the circulation per unit area at a point in a considered as the circulation per unit area at a point in a fluid flow field. For a two-dimensional flow, the vorticity fluid flow field. For a two-dimensional flow, the vorticity vector is perpendicular to the plane.vector is perpendicular to the plane.

Barotropic vorticity equation (BVQ):Barotropic vorticity equation (BVQ): the simplest way for the simplest way for forecasting the movement of Rossby wave (large-scale forecasting the movement of Rossby wave (large-scale motions in the ocean or atmosphere). A simplification of motions in the ocean or atmosphere). A simplification of Navier-Stokes equation to two-dimensionNavier-Stokes equation to two-dimension

Atmosphere of earth

Atmospheric Superrotation of Venus and Titan

Rotation of Venus

Atmosphere: period 4 daysSolid planet: period 250 days

Rotation of Titan

Atmosphere: period 26 hoursSolid moon: period 16 days

Titan: Moon of Saturn, and second largest moon in solar system (size is between Mercury and Mars)(Discovered by Christiaan Huygens in 1655)Cassini-Huygens mission to Saturn and Titanhttp://saturn.jpl.nasa.gov/home/index.cfm

A little HistoryA little History

ENIACENIAC, short for , short for Electronic Electronic Numerical Integrator And Numerical Integrator And ComputerComputer, was the first all-, was the first all-electronic computer electronic computer developed and built by the developed and built by the U.S. Army for their Ballistics U.S. Army for their Ballistics Research Laboratory during Research Laboratory during 2nd world war. ENIAC ran 2nd world war. ENIAC ran until October 2, 1955. In until October 2, 1955. In 1950, Charney, Fjorloft, and 1950, Charney, Fjorloft, and von Neumann integrated BVQ von Neumann integrated BVQ on ENIAC for the first time. on ENIAC for the first time. This was the one of the first This was the one of the first successful instances of successful instances of numerical weather numerical weather forecasting.forecasting.

Simulation by Chjan LimSimulation by Chjan Limhttp://www.rpi.edu/~limc/http://www.rpi.edu/~limc/