Computation of Steady Laminar Flow over a Circular Cylinder with ThirdOrder Boundary Conditions
Abstract
An analyticnumerical solution to the NavierStokes equations is developed for the steady laminar flow past a circular cylinder. The method of series truncation is employed to reduce the governing partial differential equation to a system of ordinary differential equations, which are then numerically integrated. The Reynolds numbers Re, based on the diameter, range from 0.4 to 40. Beyond that, the flow field should be represented by cosine as well as sine series, and is to be treated later. The accuracy of the solution is enhanced by thirdorder boundary conditions at infinity. Quantities of interest such as the drag and pressure coefficients, tangential and radial velocities, streamlines, and vorticity lines are computed, plotted, and compared with previous results. Applying Shanks' transformation to each of three successive truncations improves the accuracy of the surface quantities.
 Publication:

Journal of Computational Physics
 Pub Date:
 February 1983
 DOI:
 10.1016/00219991(83)901225
 Bibcode:
 1983JCoPh..49..181J
 Keywords:

 Boundary Conditions;
 Circular Cylinders;
 Computational Fluid Dynamics;
 Flow Distribution;
 Laminar Flow;
 Steady Flow;
 Differential Equations;
 Drag;
 Flow Equations;
 NavierStokes Equation;
 Radial Velocity;
 Vortices;
 Fluid Mechanics and Heat Transfer