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Modeling Scenario

1-116-TropicalStormWindspeeds-ModelingScenario

Author(s): Terrance Pendleton

Drake University, Des Moines IA USA

Keywords: hurricane decay tropical storm cyclones

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Abstract

Resource Image We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation using a first order exponential decay model.

Citation

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

This modeling scenario is suitable for students who have experience with separable equations.

Due to the potential tragic nature of tropical systems, there is a need for the scientific understanding and modeling of these complicated phenomena in order to reduce unwanted destruction and prevent unnecessary deaths. Hurricanes are large, swirling storms with winds of 119 kilometers per hour (74 mph) or higher and are usually characterized by a low-pressure center, a closed low-level atmospheric circulation, strong winds, and a spiral arrangement of thunderstorms that produce heavy rain. Coastal damage may be caused by strong winds and rain, high waves (due to winds), storm surges (due to severe pressure changes), and the potential of spawning tornadoes.

Tropical storms also draw in air from a large area—which can be a vast area for the most severe storms—and concentrate the precipitation of the water content in that air (made up from atmospheric moisture and moisture evaporated from water) into a much smaller area.

This continual replacement of moisture-bearing air by new moisture-bearing air after its moisture has fallen as rain, may cause extremely heavy rain and river flooding up to 25 miles inland from the coastline, far beyond the amount of water that the local atmosphere holds at any one time.

In an effort to better understand and predict the path and intensity of a land-falling tropical system, we propose the development of a model for predicting the maximum sustained wind speed of landfalling tropical cyclones.

Article Files

Authors

Author(s): Terrance Pendleton

Drake University, Des Moines IA USA

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