Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
High accuracy solutions of incompressible Navier-Stokes equations
Journal of Computational Physics
Essentially compact schemes for unsteady viscous incompressible flows
Journal of Computational Physics
Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder
Journal of Computational Physics
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows
Journal of Scientific Computing
A Central-Difference Scheme for a Pure Stream Function Formulation of Incompressible Viscous Flow
SIAM Journal on Scientific Computing
A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations
Journal of Computational Physics
A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation
Journal of Computational Physics
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
Journal of Computational Physics
High-order compact exponential finite difference methods for convection-diffusion type problems
Journal of Computational Physics
SIAM Journal on Numerical Analysis
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
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A compact difference scheme is developed for the streamfunction-velocity formulation of the steady incompressible Navier---Stokes equations in polar coordinates, which is of second-order accuracy and carries streamfunction and its first derivatives (velocities) as the unknown variables. Numerical examples, including the biharmonic problem with an analytic solution in the unit circular region, the flow past an impulsively started circular cylinder, the driven polar cavity flow and the wall-driven semi-circular cavity flow problems, are solved by the present method. Compared with the existing values by different available numerical methods and experiments in the literature, numerical results demonstrate the accuracy and efficiency of the currently proposed scheme.