تقرير
A direct Eulerian GRP scheme for a blood flow model in arteries
| العنوان: | A direct Eulerian GRP scheme for a blood flow model in arteries |
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| المؤلفون: | Sheng, Wancheng, Zhang, Qinglong, Zheng, Yuxi |
| سنة النشر: | 2021 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | In this paper, we propose a direct Eulerian generalized Riemann problem (GRP) scheme for a blood flow model in arteries. It is an extension of the Eulerian GRP scheme, which is developed by Ben-Artzi, et. al. in J. Comput. Phys., 218(2006). By using the Riemann invariants, we diagonalize the blood flow system into a weakly coupled system, which is used to resolve rarefaction wave. We also use Rankine-Hugoniot condition to resolve the local GRP formulation. We pay special attention to the acoustic case as well as the sonic case. The extension to the two dimensional case is carefully obtained by using the dimensional splitting technique. We test that the derived GRP scheme is second order accuracy. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2103.02224Test |
| رقم الانضمام: | edsarx.2103.02224 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |