A New Time Stepping Method for the Solution of the Shallow Water Equations on a Rotating Sphere
| العنوان: | A New Time Stepping Method for the Solution of the Shallow Water Equations on a Rotating Sphere |
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| المؤلفون: | Ali Rouhi, R. L. Schult, Jon Wright |
| المصدر: | Monthly Weather Review. 127:1862-1871 |
| بيانات النشر: | American Meteorological Society, 1999. |
| سنة النشر: | 1999 |
| مصطلحات موضوعية: | Atmospheric Science, Atmospheric physics, Partial differential equation, Test case, Discretization, Field (physics), Geophysical fluid dynamics, Applied mathematics, Geometry, Fundamental Resolution Equation, Shallow water equations, Mathematics |
| الوصف: | The shallow water equations on a rotating sphere form a system of great interest in geophysical fluid dynamics, from meteorology to atmospheric physics and climate studies. Williamson and his collaborators at the National Center for Atmospheric Research introduced a set of numerical experiments of increasing complexity to serve as a standard set for testing proposed numerical schemes. They also provided a software package that solved the equations by methods that are currently state of the art in the field. The authors recently introduced a new method (called “odd–even splitting”) for solving a wide variety of partial differential equations which has several advantages. In this paper a variation of this method, called the “dual-copy splitting” method of time stepping, is applied to several of the test cases of Williamson et al. using for the spatial discretization the same spectral transform model as they used. The method has the following features that are novel, so far as the authors know. Firs... |
| تدمد: | 1520-0493 0027-0644 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::9adec5c0d5ad593112bc7e02876dd3b8Test https://doi.org/10.1175/1520-0493Test(1999)127<1862:antsmf>2.0.co;2 |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi...........9adec5c0d5ad593112bc7e02876dd3b8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15200493 00270644 |
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