Open AccessA Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere
Author(s) -
Yusuke Mizuno,
Shun Takahashi,
Taku omura,
Takayuki Nagata,
K. Fukuda
Publication year - 2015
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2015/438086
Subject(s) - immersed boundary method , solver , cartesian coordinate system , flow (mathematics) , drag , boundary (topology) , turbulence , wake , compressible flow , simple (philosophy) , mechanics , mathematics , compressibility , mathematical analysis , geometry , physics , mathematical optimization , philosophy , epistemology
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
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