𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The use of upwind schemes at high Reynolds number — a cautionary note

✍ Scribed by Wayne Arter

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
230 KB
Volume
66
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

✦ Synopsis

Implicit upwind schemes can produce bounded, but nonphysical, solutions to the equations of hydrodynamics. The widely used Patankar scheme (conservative upwind on a staggered mesh) is shown to produce, for sufficiently high mesh Reynolds number, a spurious solution with peak flow independent of mesh-spacing. Nevertheless, the Patankar scheme can outperform similar schemes on finer meshes, apparently as a result of this strange behaviour.

📜 SIMILAR VOLUMES

A note on an accelerated high-accuracy m
A note on an accelerated high-accuracy multigrid solution of the convection-diffusion equation with high Reynolds number
✍ Jun Zhang 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 267 KB 👁 2 views

We present a new strategy to accelerate the convergence rate of a high-accuracy multigrid method for the numerical solution of the convection-diffusion equation at the high Reynolds number limit. We propose a scaled residual injection operator with a scaling factor proportional to the magnitude of t

A study on the mechanism of high-lift ge
A study on the mechanism of high-lift generation by an insect wing in unsteady motion at small Reynolds number
✍ Hossein Raza Hamdani; Ali Naqvi 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 701 KB

## Abstract The aerodynamic force and flow structure of a wing performing an unsteady motion at small Reynolds number (__Re__=4000) is calculated by solving Navier–Stokes equations. Calculations were conducted for steady motion, simple unsteady motions suc as azimuth rotation, pure translation, fea