A High Order Explicit Method for the Computation of Flow About a Circular Cylinder

✍ Scribed by Christopher R. Anderson; Marc B. Reider

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 518 KB
• Volume: 125
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0089

✦ Synopsis

numbers was performed by [13,25]. More recently, through the use of advanced numerical techniques (e.g., compact In this paper a finite difference method for computing the solutions of the incompressible Navier-Stokes equations for flow about high order difference stencils and exponentially stretched a circular cylinder in two dimensions is presented. A stream grids), solutions have been obtained for higher Reynolds function/vorticity formulation of the equation is used and the numernumbers [14,15,7,6]. This problem has also been the focus ical method incorporates recent developments in the computation of mathematical and analytical modeling; for example, see of vorticity boundary conditions as well as far field boundary condi-Sarpkaya [23,22].

tions. Three schemes are described, one of second order accuracy, one of fourth order accuracy, and a hybrid method which is second Our interest in obtaining accurate, fully resolved soluorder accurate in the computation of the vorticity transport and tions to the Navier-Stokes equations for flow about a circufourth order accurate in the determination of the stream function. lar cylinder was motivated by our work on boundary layer Fully resolved solutions for flow past a cylinder have been computed models [4]. While existing finite difference methods could over a range of Reynolds numbers from 1000 to 9500. Comparisons have been used to provide such solutions, they do not are made between the results obtained with methods of different orders of accuracy as well as of the effectiveness of the vorticity incorporate some recent results having to do with the treatand far field boundary conditions.