تقرير
Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensions
| العنوان: | Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensions |
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| المؤلفون: | Kunik, Matthias, Kolb, Adrian, Müller, Siegfried, Thein, Ferdinand |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, 35L45, 35L60, 35L65, 35L67 |
| الوصف: | The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure, the spatial part of the dimensionless four-velocity and the particle density. Radially symmetric solutions of these equations are studied in two and three space dimensions. Of particular interest in the solutions are the formation of shock waves and a pressure blow up. For the investigation of these phenomena we develop a one-dimensional scheme using radial symmetry and integral conservation laws. We compare the numerical results with solutions of multi-dimensional high-order numerical schemes for general initial data in two space dimensions. The presented test cases and results may serve as interesting benchmark tests for multi-dimensional solvers. Comment: arXiv admin note: text overlap with arXiv:2002.01181 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.12857 |
| رقم الأكسشن: | edsarx.2402.12857 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |