Linear instability of the lid-driven flow in a cubic cavity

Primary instability of the lid-driven flow in a cube is studied by a comprehensive linear stability approach. Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal plane, are considered. The SIMPLE procedure is applied for evaluation of the Krylov vectors needed...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-02
Main Author: Gelfgat, A Y
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Flow stability
Fluid flow
Iterative methods
Perturbation
Reynolds number
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Primary instability of the lid-driven flow in a cube is studied by a comprehensive linear stability approach. Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal plane, are considered. The SIMPLE procedure is applied for evaluation of the Krylov vectors needed for application of the Newton and Arnoldi iteration methods. The finite volume grid is gradually refined from 1003 to 2563 nodes. The computations result in the grid convergent values of the critical Reynolds number and oscillation frequency. Patterns of the most unstable perturbation are reported. Finally, some new arguments supporting the assumption that the centrifugal mechanism triggers instability in both cases are given.
ISSN:2331-8422
DOI:10.48550/arxiv.1704.08521