Publication Date
8-2024
Date of Final Oral Examination (Defense)
6-13-2024
Type of Culminating Activity
Thesis
Degree Title
Master of Science in Mathematics
Department Filter
Mathematics
Department
Mathematics
Supervisory Committee Chair
Donna Calhoun, Ph.D.
Supervisory Committee Member
Grady Wright, Ph.D.
Supervisory Committee Member
Michael Kopera, Ph.D.
Abstract
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.
DOI
https://doi.org/10.18122/td.2253.boisestate
Recommended Citation
Tropea, Augustus, "Numerical Simulation of the Atmospheric Lamb Waves Generated by the Hunga Tonga-Hunga Ha'apai Eruption Using a Shallow Water Approximation" (2024). Boise State University Theses and Dissertations. 2253.
https://doi.org/10.18122/td.2253.boisestate