Controlling the evolution of a simulated hurricane through optimal perturbations: Initial experiments using a 4-D variational analysis system

Author: Ross N. Hoffman, John M. Henderson, S. Mark Leidner, George D. Modica and Thomas Nehrkorn
Date: 
January 10, 2005
Type: 
Presentation
Venue: 
16th Conference on Planned and Inadvertent Weather Modification
Citation: 

Hoffman, R. N., C. Grassotti, J. M. Henderson, S. M. Leidner, G. Modica, and T. Nehrkorn, 2005: Controlling the evolution of a simulated hurricane through optimal perturbations: Initial experiments using a 4-D variational analysis system. Preprints, 16th Conf. on Planned and Inadvertent Weather Modification, San Diego, CA, Amer. Meteor. Soc., CD-ROM, 3.6.

Will we one day be capable of controlling the large scale weather? Extreme sensitivity to initial conditions suggests that small perturbations to the atmosphere may effectively control the evolution of the atmosphere if the atmosphere is observed and modeled sufficiently well.
It is shown that four-dimensional variational analysis (4DVAR) is a data assimilation technique that can be modified to calculate optimal perturbations for weather modification. Experiments demonstrate the ability of 4DVAR to calculate perturbations to influence the evolution of a simulated tropical cyclone. In "target" experiments, the Penn State/NCAR Mesoscale Model 5 4DVAR system determines the optimal atmospheric state trajectory which simultaneously minimizes the size of the initial perturbation and the difference (using a quadratic norm) between the new model state and a target in which the simulated cyclone has been repositioned. In experiments for Hurricane Iniki, the simulated hurricane was successfully repositioned after the 6 hour 4DVAR period, and then continued on a track parallel to its original track missing the Island of Kauai. Perturbations to the initial conditions are small relative to the hurricane.
In "damage cost function" experiments, 4DVAR simultaneously minimizes the size of the initial perturbation and an estimate of property loss that depends on wind speed. We had anticipated that the damage cost function would also have the effect of steering the hurricane away from built up areas, but this did not occur. Instead the hurricane surface winds decrease over the built up area at landfall. In damage cost function experiments the optimal perturbations usually include quasi-symmetric concentric features centered on the hurricane. It appears that the perturbation evolves as a wave disturbance that propagates to a focus at the hurricane center, and converts the kinetic energy of the hurricane into thermal potential energy at the appropriate time. The hurricane surface winds regenerate soon thereafter, so the effect is that the high intensity winds surrounding the hurricane eye "blink" off for a short period.