دورية أكاديمية
Optimal Runge-Kutta Schemes for Discontinuous Galerkin Space Discretizations Applied to Wave Propagation Problems
| العنوان: | Optimal Runge-Kutta Schemes for Discontinuous Galerkin Space Discretizations Applied to Wave Propagation Problems |
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| المؤلفون: | Toulorge, Thomas, Desmet, Wim |
| بيانات النشر: | Academic Press |
| سنة النشر: | 2012 |
| المجموعة: | KU Leuven: Lirias |
| مصطلحات موضوعية: | Discontinuous Galerkin, Runge-Kutta, Wave Propagation, Computational Efficiency |
| الوصف: | We study the performance of methods of lines combining discontinuous Galerkin spatial discretizations and explicit Runge-Kutta time integrators, with the aim of deriving optimal Runge-Kutta schemes for wave propagation applications. We review relevant Runge-Kutta methods from literature, and consider schemes of order q from 3 to 4, and number of stages up to q+4, for optimization. From a user point of view, the problem of the computational efficiency involves the choice of the best combination of mesh and numerical method; two scenarios are defined. In the first one, the element size is totally free, and a 8-stage, fourth-order Runge-Kutta scheme is found to minimize a cost measure depending on both accuracy and stability. In the second one, the elements are assumed to be constrained to such a small size by geometrical features of the computational domain, that accuracy is disregarded. We then derive one 7-stage, third-order scheme and one 8-stage, fourth-order scheme that maximize the stability limit. The performance of the three new schemes is thoroughly analyzed, and the benefits are illustrated with two examples. For each of these Runge-Kutta methods, we provide the coefficients for a 2N-storage implementation, along with the information needed by the user to employ them optimally. ; status: published |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 792498 bytes; application/pdf |
| اللغة: | English |
| تدمد: | 0021-9991 1090-2716 |
| العلاقة: | Journal of Computational Physics vol:231 issue:4 pages:2067-2091; https://lirias.kuleuven.be/handle/123456789/309607Test; https://lirias.kuleuven.be/bitstream/123456789/309607/3//Journal-Paper_RK.pdfTest |
| DOI: | 10.1016/j.jcp.2011.11.024 |
| الإتاحة: | https://doi.org/10.1016/j.jcp.2011.11.024Test https://lirias.kuleuven.be/handle/123456789/309607Test https://lirias.kuleuven.be/bitstream/123456789/309607/3//Journal-Paper_RK.pdfTest |
| رقم الانضمام: | edsbas.AA1A1123 |
| قاعدة البيانات: | BASE |
| تدمد: | 00219991 10902716 |
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| DOI: | 10.1016/j.jcp.2011.11.024 |