Search Content

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

Description

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…

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.

ContributorsBurke, Lee Matthew Moore (Author) / Moustaoui, Mohamed (Thesis director) / Kostelich, Eric (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Mechanical and Aerospace Engineering Program (Contributor) / Barrett, The Honors College (Contributor)

Created2016-05

Filtering by

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

Partita no. 1 in B minor, BWV 1002. Double

Sonata no. 1 in G minor, BWV 1001. Presto

Brandenburg concerto, no. 4 BWV 1049. Andante

Brandenburg concerto, no. 4 BWV 1049. Presto

Fugue

Cello suite no. 2 in D minor, BWV 1008. Prelude

Cello suite no. 2 in D minor, BWV 1008. Allemande

Cello suite no. 2 in D minor, BWV 1008. Courante

Cello suite no. 2 in D minor, BWV 1008. Sarabande