تقرير
Computing hydrodynamic eigenmodes of channel flow with slip -- A highly accurate algorithm
| العنوان: | Computing hydrodynamic eigenmodes of channel flow with slip -- A highly accurate algorithm |
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| المؤلفون: | Raju, S., Gründing, D., Marić, T., Bothe, D., Fricke, M. |
| سنة النشر: | 2021 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Fluid Dynamics, Physics - Computational Physics |
| الوصف: | The transient start-up flow solution with slip is a useful tool to verify Computational Fluid Dynamics (CFD) simulations. However, a highly accurate, open-source black box solution does not seem to be available. Our method provides a fast, automated, and rigorously verified open-source implementation that can compute the hydrodynamic eigenmodes of a two-dimensional channel flow beyond the standard floating-point precision. This allows for a very accurate computation of the corresponding Fourier series solution. We prove that all roots are found in all special cases for the general flow problem with different slip lengths on the channel walls. The numerical results confirm analytically derived asymptotic power laws for the leading hydrodynamic eigenmode and the characteristic timescale in the limiting cases of small and large slip. The code repository including test cases is publicly available here https://git.rwth-aachen.de/fricke/start-up-flow Comment: 29 pages, 10 figures, article manuscript |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1002/cjce.24598 |
| URL الوصول: | http://arxiv.org/abs/2103.06662 |
| رقم الأكسشن: | edsarx.2103.06662 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1002/cjce.24598 |
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