The Flow of A Falling Ellipse: Numerical Method and Classification

R. J. Wu, San-Yih Lin

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)771-782
Number of pages12
JournalJournal of Mechanics
Issue number6
Publication statusPublished - 2015 May 18

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics


Dive into the research topics of 'The Flow of A Falling Ellipse: Numerical Method and Classification'. Together they form a unique fingerprint.

Cite this