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Flow past an impulsively started circular cylinder using a higher-order semicompact scheme.

Y V S S Sanyasiraju1, V Manjula

  • 1Department of Mathematics, Indian Institute of Technology Madras, Chennai-600036, India. sryedida@iitm.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

A novel higher-order semi-compact scheme (HOSC) accurately simulates incompressible viscous flow around a circular cylinder. This method validates well at low Reynolds numbers and captures complex flow phenomena at higher Reynolds numbers.

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Area of Science:

  • Fluid dynamics
  • Computational fluid dynamics (CFD)

Background:

  • Simulating incompressible viscous flow around a circular cylinder is crucial in fluid dynamics.
  • Existing numerical methods often face challenges with circular geometries and computational complexity.

Purpose of the Study:

  • To develop and validate a higher-order semi-compact scheme (HOSC) for simulating 2D incompressible viscous flow past an impulsively started circular cylinder.
  • To reduce computational complexity while maintaining accuracy for this specific geometry.

Main Methods:

  • Implementation of a higher-order semi-compact scheme (HOSC).
  • Adaptation of the scheme to handle circular geometry, reducing algebraic manipulations.
  • Numerical simulation for Reynolds numbers from 20 to 5000.

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Main Results:

  • The HOSC scheme accurately reproduces flow patterns at low and moderate Reynolds numbers, validated against existing data.
  • The scheme successfully captures the alpha phenomenon at Re=1000.
  • Both beta and alpha phenomena are accurately simulated sequentially at Re=5000.

Conclusions:

  • The HOSC scheme is an effective and efficient numerical tool for analyzing incompressible viscous flow past a circular cylinder.
  • The scheme demonstrates capability in capturing complex flow instabilities at high Reynolds numbers.