A compact scheme for the streamfunction formulation of Navier-Stokes equations

Authors:
D. Fishelov;M. Ben-Artzi;J.-P. Croisille
Affiliations:
Tel-Aviv Academic College for Engineering, Tel-Aviv and Beit Berl College;Institute of Mathematics, The Hebrew University, Jerusalem, Israel;Department of Mathematics, University of Metz, Metz, France
Venue:
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Year:
2003

Citing 2
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A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations

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A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations

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Abstract

We introduce a pure-streamfunction formulation for the incompressible Navier-Stokes equations. The idea is to replace the vorticity in the vorticity- streamfunction evolution equation by the Laplacian of the streamfunction. The resulting formulation includes the streamfunction only, thus no inter-function relations need to invoked. A compact numerical scheme, which interpolates streamfunction values as well as its first order derivatives, is presented and analyzed.