𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotics beyond all orders for a low Reynolds number flow

✍ Scribed by Joseph B. Keller; Michael J. Ward

Book ID
104628272
Publisher
Springer
Year
1996
Tongue
English
Weight
587 KB
Volume
30
Category
Article
ISSN
0022-0833

No coin nor oath required. For personal study only.

✦ Synopsis

The solution for slow incompressible flow past a circular cylinder involves terms in powers of 1 / log e, times powers of 1 / log e, etc., where c is the Reynolds number. Previously we showed how to determine the sum of all terms in powers of 1/log e. Now we show how to go beyond all those terms to find the sum of all terms containing e times a power of 1/log e. The first sum gives the drag coefficient and represents a symmetric flow in the Stokes region near the cylinder. The second term reveals the asymmetry of the flow near the body. This problem is studied using a hybrid method which combines numerical computation and asymptotic analysis.

πŸ“œ SIMILAR VOLUMES

A DYNAMIC SUBGRID-SCALE MODEL FOR LOW-RE
A DYNAMIC SUBGRID-SCALE MODEL FOR LOW-REYNOLDS-NUMBER CHANNEL FLOW
✍ HONG ZHAO; PETER R. VOKE πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 616 KB

Several issues related to applications of the dynamic subgrid-scale (SGS) model in large-eddy simulation (LES) at low Reynolds number are investigated. A modified formulation of the dynamic model is constructed and its perfoxmance in low-Reynolds-number LES of channel flow is assessed through a comp

A high-order adaptive numerical method f
A high-order adaptive numerical method for recirculating flows at large Reynolds number
✍ Sun-Chul Kim; June-Yub Lee πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 260 KB

A numerical method is constructed for two-dimensional Navier-Stokes ows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymp