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

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 Laplacianof 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.

• Type: Conference
• Year: 2003
• Where: ICCSA
• Authors: Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Croisille
• Keywords: Applied Computing, ICCSA 2003, Streamfunction, Streamfunction Evolution Equation, Streamfunction Values