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NCTS Seminar on PDE and Machine Learning
 
11:00 - 12:00, August 4, 2025 (Monday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Numerical Methods for Moist Potential Vorticity Inversion with Phase Changes: A Nonlinear Elliptic PDE with Interface Jumps
Chung-Nan Tzou (Pennsylvania State University - Abington)

Abstract
The atmosphere is a slow-fast system, and the decomposition into slow and fast components can be accomplished at any instant without reference to the time evolution, by solving an elliptic partial differential equation (PDE). The process of solving the elliptic PDE is known as potential vorticity (PV) inversion. While traditional PV inversion is for an atmosphere that is "dry", a new type of moist PV inversion has been proposed recently for an atmosphere with moisture and clouds. Moist, nonlinear PV inversion involves new challenges due to interface jumps at cloud edge, which is a free boundary that is not known a priori and is discovered in the process of solving the elliptic PDE. Here we present an iterative numerical method to solve the Nonlinear PDE.
 
Organizer: Te-Sheng Lin (NYCU)


 

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