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A New Numerical Method Based on Leapfrog for Atmospheric and Ocean Modeling

Abstract A semi-implicit, fourth-order time-filtered leapfrog numerical scheme is investigated for accuracy and stability, and applied to several test cases, including one-dimensional advection and diffusion, the anelastic equations to simulate the Kelvin-Helmholtz instability, and the global shallow water spectral model to simulate the nonlinear evolution of twin tropical cyclones. The leapfrog scheme leads to computational modes in the solutions to highly nonlinear systems, and time-filters are often used to damp these modes. The proposed filter damps the computational modes without appreciably degrading the physical mode. Its performance in these metrics is superior to the second-order time-filtered leapfrog scheme developed by Robert and Asselin... (more)
Created Date 2016-05
Contributor Burke, Lee Matthew Moore (Author) / Moustaoui, Mohamed (Thesis Director) / Kostelich, Eric (Committee Member) / School of Mathematical and Statistical Sciences / Mechanical and Aerospace Engineering Program / Barrett, The Honors College
Subject Mathematics / Applied Mathematics / Mathematics / Weather Modeling / Numerical Methods
Series Academic Year 2015-2016
Type Text
Extent 32 pages
Language English
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS

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