"Numerical Simulation of the Atmospheric Lamb Waves Generated by the Hu" by Augustus Tropea

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

Included in

Mathematics Commons

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