The Mathematical Institute, University of Oxford, Eprints Archive

Multiple knot B-spline representation of incompressible flow

Glasgow, C. and Parrott, A. K. and Handscomb, D. C. (1996) Multiple knot B-spline representation of incompressible flow. Technical Report. Unspecified. (Submitted)

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Abstract

An efficient B-spline method for the construction of a piecewise polynomial velocity representation from a given set of normal fluid fluxes is described for steady incompressible flow in three dimensional rectangular regions. The fluxes should be defined across the face-centres of a cartesian tensor product mesh. The proposed spline representation interpolates the given fluxes exactly and also enables the normal fluid velocity to be set identically to zero across or around the surfaces of an arbitrary number of rectangular regions lying in specified planes.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Approximations and expansions
D - G > Fluid mechanics
H - N > Mechanics of particles and systems
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1328
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:53
Last Modified:12 Jun 2011 09:53

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