The Flow of A Falling Ellipse: Numerical Method and Classification

A modified direct-forcing immersed-boundary (IB) pressure correction method is developed to simulate the flows of a falling ellipse. The pressure correct method is used to solve the solutions of the two dimensional Navier-Stokes equations and a direct-forcing IB method is used to handle the interact...

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Bibliographic Details
Published in:Journal of mechanics 2015-12, Vol.31 (6), p.771-782
Main Authors: Wu, R.-J., Lin, S.-Y.
Format: Article
Language:English
Subjects:
Analysis
Aspect ratio
Boundary conditions
Computer simulation
Dimensionless numbers
Ellipses
Falling
Fluid mechanics
Flutter
Inertia
Mathematical analysis
Mathematical models
Moments of inertia
Navier-Stokes equations
Numerical methods
Phase diagrams
Reynolds number
Studies
Tumbling
Vibration
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Summary:A modified direct-forcing immersed-boundary (IB) pressure correction method is developed to simulate the flows of a falling ellipse. The pressure correct method is used to solve the solutions of the two dimensional Navier-Stokes equations and a direct-forcing IB method is used to handle the interaction between the flow and falling ellipse. For a fixed aspect ratio of an ellipse, the types of the behavior of the falling ellipse can be classified as three pure motions: Steady falling, fluttering, tumbling, and two transition motions: Chaos, transition between steady falling and fluttering. Based on two dimensionless parameters, Reynolds number and the dimensionless moment of inertia, a Reynolds number-inertia moment phase diagram is established. The behaviors and characters of five falling regimes are described in detailed.
ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2015.47