Nonuniqueness of separated flow past nearly flat corners
type: Item
instance of: scholarly article
title: Nonuniqueness of separated flow past nearly flat corners
zbMATH Open document ID: 0797.76021
DOI: 10.1007/BF01051198
author: G. L. Korolev
published in: Fluid Dynamics
publication date: 1994-04-12T00:00:00Z
review text: Nonuniqueness of flow pattern associated with flow separation is shown to exist in case of an incompressible flow in the neighbourhood of a nearly flat convex corner at high Reynolds numbers. The boundary layer in this region has a triple-deck structure, the bottom deck, a viscous boundary layer, being the most important one. This layer is described using an orthogonal coordinate system moving with the surface of the body, whose origin is located at the corner point, and using dimensionless variables. It is shown that the already known solution is only one branch of possible solutions of the equations set up, and that a second branch exists and is physically characterized by a longer separation bubble. The problem under consideration is solved numerically by a second-order- accurate finite-difference scheme, by using the Newton's method for solving the nonlinear system of equations obtained and using the matrix sweep method for inverting the Jacobi matrix in each iteration. For further information the reader is referred to the quoted literature. The results in dependence on the corner angle are discussed in detail.
Mathematics Subject Classification ID: 76D10
zbMATH DE Number: 536749
zbMATH Keywords: moving orthogonal coordinate system
zbMATH Keywords: triple-deck structure
zbMATH Keywords: second-order- accurate finite-difference scheme
zbMATH Keywords: Newton's method
zbMATH Keywords: matrix sweep method
zbMATH Keywords: Jacobi matrix
reviewed by: J. T. Heynatz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 536749