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A monotone streamline upwind method for quadratic finite elements
Author(s) -
Hill D. L.,
Baskharone E. A.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650170603
Subject(s) - upwind scheme , curvature , quadratic equation , mathematics , monotone polygon , flow (mathematics) , streamlines, streaklines, and pathlines , boundary (topology) , turbomachinery , mathematical optimization , mathematical analysis , mechanics , geometry , physics , discretization
A direct streamline upwind method has been developed for convection‐dominated flow problems utilizing quadratic elements. The approach presented retains the curve‐sidedness feature offered by these elements. This facilitates the use of boundary conforming elements in domains that possess extreme curvature such as turbomachinery bladed components, for which the method is particularly suited. Three test cases are solved to evaluate the stability and diffusive characteristics of the numerical solution. The results presented clearly demonstrate that the proposed method does not exhibit any non‐physical spatial oscillations, nor does it suffer from the traditional problem of excessive numerical diffusion.