Numerical investigation on the stability of singular driven cavity flow
Journal of Computational Physics
A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
An implicit method for coupled flow-body dynamics
Journal of Computational Physics
Journal of Scientific Computing
A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations
Journal of Scientific Computing
A compact scheme for the streamfunction formulation of Navier-Stokes equations
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Journal of Computational Physics
Computers & Mathematics with Applications
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We present a numerical scheme for incompressible viscous flow, formulated as an equation for the stream function. The pure stream function formulation obviates the difficulty associated with vorticity boundary conditions. The resulting biharmonic equation is discretized with a compact scheme and solved with an algebraic multigrid solver. The advection of vorticity is implemented with a high-resolution central scheme that remains stable and accurate in the presence of large gradients. The accuracy and robustness of the method are demonstrated for high Reynolds number flows in a lid-driven cavity.