Owen
T Odney

SURF Using Data-Driven Equation Discovery Algorithms to Show a Nonlinear Schrodinger Equation Description of Atmospheric Blocking Physical Sciences

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Authors:

Owen T Odney

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In the atmospheric science community, the phenomenon of atmospheric blocking has defied a consensus on its origins for decades. It is vital to be able to predict and model blocking, as it intensifies normal weather patterns into extreme, drawn-out weather events that create considerable personal and economic danger to communities around the world. Several models attempt to provide an explanation for this phenomenon, including a multiple-scale perturbation approximation of a barotropic vorticity model, yielding a first-order linear Rossby wave solution with a slow-varying amplitude described by a Nonlinear Schrodinger (NLS) equation. This experiment aims to provide evidence for this model as an explanation of atmospheric blocking. To do so, an NLS equation is derived and made into predictive simulation following previous work, and a perfect NLS equation solution dataset is generated. Then, utilizing the nonlinear dynamics equation discovery tool PySINDy and its WeakPDE library, the experiment attempts to confirm the PySINDy algorithm can successfully detect the specific NLS equation from the solution dataset. From there, the PySINDy algorithm can be applied to different atmospheric simulations to find the corresponding NLS equations, and these equations can be compared to block-identifying algorithms to see if strong patterns can be found between the blocks and the NLS equations. Future experiments would attempt to detect the NLS equation from real atmospheric data to prove it can accurately explain atmospheric blocking. Keywords: Atmospheric Blocking

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Purdue University / 2024

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Owen T Odney

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