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Graduate Defense: Augustus Tropea

June 13 @ 2:00 pm - 3:00 pm

Thesis Information

Title: Numerical Simulation Of The Atmospheric Lamb Waves Generated By The Hunga Tonga-Hunga Ha’apai Eruption Using A Shallow Water Approximation

Program: Master of Science in Mathematics

Advisor: Dr. Donna Calhoun, Mathematics

Committee Members: Dr. Grady Wright, Mathematics and Dr. Michal Kopera, Mathematics


On January 15th, 2022 around 04:05 UTC the undersea volcano Hunga Tonga- Hunga Ha’apai located near the South Pacific island of Tonga violently erupted, and a large amount of energy was released into the atmosphere. The atmospheric disturbances generated by this event were detected by equipment all around the world. Analysis of this data revealed that some of these atmospheric disturbances were Lamb waves generated by the volcanic eruption. Previous works have successfully modeled these types of waves by using a shallow water approximation. Here we present results for the homogeneous shallow water equations at earth scale using high resolution finite volume methods and adaptive mesh refinement. We also model the source terms needed for the shallow water approximation of the Lamb waves generated by the Hunga Tonga-Hunga Ha’apai eruption.