A physically optimum difference scheme for three-dimensional boundary layers
| العنوان: | A physically optimum difference scheme for three-dimensional boundary layers |
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| المؤلفون: | B. R. Sanders, H. A. Dwyer |
| المصدر: | Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics ISBN: 3540071393 |
| بيانات النشر: | Springer-Verlag, 2005. |
| سنة النشر: | 2005 |
| مصطلحات موضوعية: | Boundary layer, Numerical analysis, Mathematical analysis, Finite difference method, Spinning cone, Boundary (topology), Finite difference coefficient, Laminar flow, Magnus effect, Mathematics |
| الوصف: | A new finite difference scheme has been formulated for the three-dimensional boundary layer equations based on the physics of the convective and diffusive momentum transport in the boundary layer. It is shown that the scheme is a physically optimum one and that it is consistent with the usual specification of initial conditions. A stability analysis of the linearized equations shows that a relative restriction is necessary on the step sizes along the convective coordinates even though the difference scheme is “implicit”. The method is then applied to a problem that taxes the method and the laminar boundary layer equations to their limit; that problem being the supersonic flow over a spinning sharp cone at angle of attack. The results of the spinning cone calculation also yields some very useful insight into the “Magnus” problem and to the contributions to the “Magnus” force by the boundary layer flow. |
| ردمك: | 978-3-540-07139-6 3-540-07139-3 |
| DOI: | 10.1007/bfb0019742 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::ac1fd239f14eba6148769018e11a8104 https://doi.org/10.1007/bfb0019742 |
| رقم الانضمام: | edsair.doi...........ac1fd239f14eba6148769018e11a8104 |
| قاعدة البيانات: | OpenAIRE |
| ردمك: | 9783540071396 3540071393 |
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| DOI: | 10.1007/bfb0019742 |