Open Looking for students

Atmospheric Rivers are long, narrow bands of concentrated water vapor in the atmosphere that transport large amounts of moisture and are responsible for a significant portion of the precipitation in many regions, particularly along the west coasts of continents. Understanding atmospheric rivers is crucial for improving weather and climate models, as they can lead to extreme precipitation events and flooding.

ARDTs

Atmospheric River Detection Tools (ARDTs) are algorithms and methods used to identify and track atmospheric rivers in observational data and model outputs. These tools are essential for studying the characteristics, frequency, and impacts of atmospheric rivers on precipitation patterns.

They are responsible for 90% of global moisture transport. They are also responsible for producing extreme precipitation events and flooding in many regions. Understanding atmospheric rivers is crucial for improving weather and climate models, as they can lead to extreme precipitation events and flooding. ARs produce over 150mm/day along their central axis and mountain landfall locations can produce over 500mm/day. The Himalaya are naturally prone to water-induced hazards due to their steep terrain and intense weather patterns, assumes an important role in intensifying hazards by extracting large moisture content through orographic processes\cite{reference1}.

A topology based approach to compute the topological skeleton of atmospheric rivers is proposed in \cite{reference2}. The topological skeleton of an atmospheric river is a simplified representation of its structure, capturing the essential features and connectivity of the moisture transport pathways. This approach allows for a more efficient analysis of atmospheric rivers, enabling researchers to better understand their dynamics and impacts on precipitation patterns. It is based on gradient based topological descriptor called the Morse Complex.

Morse Complex is a mathematical framework used to analyze the topological structure of scalar fields, such as atmospheric moisture distributions. It provides a way to identify critical points, such as maxima, minima, and saddle points, and to understand the connectivity of these points in the context of the underlying field. By applying Morse Complex analysis to atmospheric rivers, researchers can gain insights into the organization and behavior of moisture transport pathways, which can inform predictions of precipitation events and improve weather and climate models.

Hypothesis:

When the error has a structural component, the pixel level analysis is not sufficient to capture the uncertainty in the system. We want to explore the use of topological descriptors, such as Morse Complex.