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.
| Autorius: | Danny Høgsholt |
| Leidėjas: | GlobeEdit |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 84 |
| ISBN-10: | 363979897X |
| ISBN-13: | 9783639798975 |
| Formatas: | 220 x 150 x 6 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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