A time-independent finite difference analysis of viscous flow across a translating circular cylinder

Chih Chun Chu, Yi Hsiang Yu, Bang Fuh Chen*, Tin Kan Hung

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A time-independent finite difference scheme is developed and applied to analyze the viscous flow past a translating circular cylinder. In this scheme, the instantaneous moving cylinder face is mapped to a fixed boundary and the computational domain is, therefore, time independent. Large Reynolds number and high oscillating frequency of moving cylinder are used in the analysis. The finite difference approximation and algorithm were validated by the reported numerical simulation and flow visualization. The vorticity and streamline patterns developments were described and discussed. The surface vorticity distribution and position of separation point versus phases of oscillating stages were discussed. The flow behaviors of various amplitudes of exciting velocity and frequencies of moving cylinder are simulated and compared. The in-line forces on cylinder during cylinder oscillation were calculated and are in good agreement with those predicted by Morison's equation. The developed scheme can be extended to analyze the viscous flow passing an arbitrary moving cylinder.

Original languageEnglish
Pages (from-to)611-619
Number of pages9
JournalJournal of Marine Science and Technology
Volume18
Issue number4
DOIs
StatePublished - Aug 2010

Keywords

  • Circular cylinder
  • Time-independent finite difference method
  • Viscous flow

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