High-order compact MacCormack scheme for two-dimensional compressible and non-hydrostatic equations of the atmosphere
| Autor: | Sarmad Ghader, R. JavanNezhad, Farhang Ahmadi-Givi, Amir Hussain Meshkatee |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
Atmospheric Science 010504 meteorology & atmospheric sciences Bubble Non hydrostatic Geology Mechanics Oceanography 01 natural sciences 010101 applied mathematics Atmosphere MacCormack method Neutral atmosphere Classical mechanics Scheme (mathematics) Compressibility 0101 mathematics Computers in Earth Sciences High order compact 0105 earth and related environmental sciences |
| Zdroj: | Dynamics of Atmospheres and Oceans. 75:102-117 |
| ISSN: | 0377-0265 |
| DOI: | 10.1016/j.dynatmoce.2016.07.002 |
| Popis: | This study is devoted to application of the fourth-order compact MacCormack scheme to spatial differencing of the conservative form of two-dimensional and non-hydrostatic equation of a dry atmosphere. To advance the solution in time a four-stage Runge–Kutta method is used. To perform the simulations, two test cases including evolution of a warm bubble and a cold bubble in a neutral atmosphere with open and rigid boundaries are employed. In addition, the second-order MacCormack and the standard fourth-order compact MacCormack schemes are used to perform the simulations. Qualitative and quantitative assessment of the numerical results for different test cases exhibit the superiority of the fourth-order compact MacCormack scheme on the second-order method. |
| Databáze: | OpenAIRE |
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