Work

Bifurcations of streamline patterns in a lid-driven cavity with an embedded cylinder

Year: 2025

Type: article

Abstract: We study numerically the streamline patterns in the incompressible, two-dimensional flow in a rectangular lid-driven cavity with an embedded cylinder. The problem is characterized by two parameters, the dimensionless cylinder radius and the Reynolds number. With the aid of bifurcation theory we identify 17 topologically distinct streamline patterns as well as bifurcation curves in the parameter plane, separating the realms of the patterns. The introduction of a small cylinder affects the streamline pattern significantly and gives rise to a complex sequence of bifurcations. For larger cylinders, the bifurcations become simpler, and the size of a corner-crossing recirculation zone decreases, such that the cylinder improves the overall circulation in the cavity.

Source: Fluid Dynamics Research

DOI: 10.1088/1873-7005/adf1c1

Authors: C P Deschamps, M Brøns

Institutions: Université Fédérale de Toulouse Midi-Pyrénées, Institut Supérieur de l'Aéronautique et de l'Espace (ISAE-SUPAERO), Technical University of Denmark

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

OpenAlex ID: W4413272111

FWCI: 0.918

Cites: 14

Cited by: 2

Related to: 10