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Imposition of slip boundary conditions without the explicit computation of consistent normals

✍ Scribed by Page, Maryse ;Farinas, Marie-Isabelle ;Garon, André


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
196 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis


Computational ¯uid dynamics simulations often require the imposition of slip boundary conditions: zero-normal velocity. When the geometry is complex, the imposition of this type of boundary condition is not trivial since the current implementations require the computation of consistent normals. The slip boundary condition can be viewed as a constraint to the solution. Hence in the framework of the Lagrange multiplier approach, we present an accurate general implementation of consistent normals. With this new approach, these consistent normals are not computed explicitly at the expense of adding new unknowns Ð the Lagrange multipliers of the constraint Ð which can be interpreted as normal forces on the ¯ow.