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On upwind methods for parabolic finite elements in incompressible flows

✍ Scribed by Dena Hendriana; Klaus-Jürgen Bathe

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
403 KB
Volume
47
Category
Article
ISSN
0029-5981

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✦ Synopsis

We study the performance of various upwind techniques implemented in parabolic ÿnite element discretizations for incompressible high Reynolds number ow. The characteristics of an 'ideal' upwind procedure are ÿrst discussed. Then the streamline upwind Petrov=Galerkin method, a simpliÿed version thereof, the Galerkin least squares technique and a high-order derivative artiÿcial di usion method are evaluated on test problems. We conclude that none of the methods displays the desired solution characteristics. There is still need for the development of a reliable and e cient upwind method with characteristics close to those of the 'ideal' procedure.

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