| A Non-Hydrostatic Semi-Lagrangian Scheme on Convective Dynamics Contributor(s): Hogsholt Danny (Author) |
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ISBN: 363979897X ISBN-13: 9783639798975 Publisher: Globeedit OUR PRICE: $36.83 Product Type: Paperback Published: September 2014 |
| Additional Information |
| BISAC Categories: - Science | Physics - General |
| Physical Information: 0.2" H x 6" W x 9" (0.30 lbs) 84 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: A non-hydrostatic, semi-Lagrangian transport scheme is proposed. The scheme is able to solve the fully-compressible Euler equations with a minimum of filtering and approximations, allowing high-speed waves such as acoustic waves. Acoustic waves put severe limitations on the maximum time step that can be taken ensuring stability by not violating the Courant-Friedrich-Lewy criterion. Therefore, a time-split technique is incorporated such that the pressure type waves are treated with an Eulerian forward-backward method, and the advective part is treated with a semi- Lagrangian method. The scheme is able to reliably simulate convective thermals in both neutrally and stably stratified environments, including features as gravity wave oscillations and Kelvin-Helmholtz instability. A review of Eulerian and semi-Lagrangian methods is given along with a discussion of previous methods used in compressible models. Qualitative comparisons to earlier non-hydrostatic model studies are made. |
