High order difference methods for heat equations in polar cylindrical coordinates
Journal of Computational Physics
A high order explicit method for the computation of flow about a circular cylinder
Journal of Computational Physics
Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder
Journal of Computational Physics
Neural, Parallel & Scientific Computations
A vorticity-based method for incompressible unsteady viscous flows
Journal of Computational Physics
A high-order fast direct solver for singular Poisson equation
Journal of Computational Physics
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
A simple compact fourth-order Poisson solver on polar geometry
Journal of Computational Physics
High-order compact finite-difference methods on general overset grids
Journal of Computational Physics
An immersed interface method for simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An efficient transient Navier-Stokes solver on compact nonuniform space grids
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.45 |
In this paper, we present a higher order compact scheme for the unsteady two-dimensional (2D) Navier-Stokes equations on nonuniform polar grids specifically designed for the incompressible viscous flows past a circular cylinder. The scheme is second order accurate in time and at least third order accurate in space. The scheme very efficiently computes both unsteady and time-marching steady-state flow for a wide range of Reynolds numbers (Re) ranging from 10 to 9500 for the impulsively started cylinder. The robustness of the scheme is highlighted when it accurately captures the vortex shedding for moderate Re represented by the von Karman street and the so called @a and @b-phenomena for higher Re. Comparisons are made with established numerical and experimental results and excellent agreement is found in all the cases, both qualitatively and quantitatively.