English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 DetailsSummary
  A Reynolds--uniform numerical method for Prandtl‘s boundary layer problem for flow past a wedge

Butler, J., Miller, J., & Shishkin, G. (2003). A Reynolds--uniform numerical method for Prandtl‘s boundary layer problem for flow past a wedge. International Journal for Numerical methods in Fluids, 43, 903-913.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-DB99-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-DB9A-1
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Butler, JS1, Author           
Miller, J, Author
Shishkin, G, Author
Affiliations:
1Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497797              

Content

show
hide
Free keywords: -
 Abstract: In this paper we deal with Prandtl‘s boundary layer problem for incompressible laminar flow past a wedge. When the Reynolds number is large the solution of this problem has a parabolic boundary layer. We construct a direct numerical method for computing approximations to the solution of this problem using a piecewise uniform fitted mesh technique appropriate to the parabolic boundary layer. We use the numerical method to approximate the self--similar solution of Prandtl‘s problem in a finite rectangle excluding the leading edge of the wedge, which is the source of an additional singularity caused by incompatibility of the problem data. We verify that the constructed numerical method is robust in the sense that the computed errors for the velocity components and their derivatives in the discrete maximum norm are Reynolds uniform. We construct and apply a special numerical method related to the Falkner--Skan technique to compute a reference solution for the error analysis of the velocity components and their derivatives. By means of extensive numerical experiments we show that the constructed direct numerical method is Reynolds--uniform.

Details

show
hide
Language(s):
 Dates: 2003-09
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: 4089
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: International Journal for Numerical methods in Fluids
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 43 Sequence Number: - Start / End Page: 903 - 913 Identifier: -