A Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere

Yusuke Mizuno, Shun Takahashi, Taku Nonomura, Takayuki Nagata, Kota Fukuda

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This study is devoted to investigating a flow around a stationary or moving sphere by using direct numerical simulation with immersed boundary method (IBM) for the three-dimensional compressible Navier-Stokes equations. A hybrid scheme developed to solve both shocks and turbulent flows is employed to solve the flow around a sphere in the equally spaced Cartesian mesh. Drag coefficients of the spheres are compared with reliable values obtained from highly accurate boundary-fitted coordinate (BFC) flow solver to clarify the applicability of the present method. As a result, good agreement was obtained between the present results and those from the BFC flow solver. Moreover, the effectiveness of the hybrid scheme was demonstrated to capture the wake structure of a sphere. Both advantages and disadvantages of the simple IBM were investigated in detail.

Original languageEnglish
Article number438086
JournalMathematical Problems in Engineering
Volume2015
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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