تقرير
A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics
| العنوان: | A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics |
|---|---|
| المؤلفون: | Barsukow, Wasilij, Edelmann, Philipp V. F., Klingenberg, Christian, Miczek, Fabian, Roepke, Friedrich K. |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics Astrophysics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Astrophysics - Solar and Stellar Astrophysics, Physics - Computational Physics, Physics - Fluid Dynamics, 65M08 76N15 35B40 35Q31 |
| الوصف: | Based on the Roe solver a new technique that allows to correctly represent low Mach number flows with a discretization of the compressible Euler equations was proposed in Miczek et al.: New numerical solver for flows at various mach numbers. A&A 576, A50 (2015). We analyze properties of this scheme and demonstrate that its limit yields a discretization of the continuous limit system. Furthermore we perform a linear stability analysis for the case of explicit time integration and study the performance of the scheme under implicit time integration via the evolution of its condition number. A numerical implementation demonstrates the capabilities of the scheme on the example of the Gresho vortex which can be accurately followed down to Mach numbers of ~1e-10 . |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1612.03910 |
| رقم الأكسشن: | edsarx.1612.03910 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |