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Three-dimensional building-cube method for inviscid compressible flow computations

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Abstract

In this study, the Building-Cube method (BCM) devised for calculating large-scale flows and getting rid of the grid dependencies of computational results is extended to perform 3D inviscid compressible fluid flow simulations. The proposed scheme divides a computational domain into a large number of cubes with different sizes, and each individual cube is a sub-flow field simulated with a Cartesian grid of uniform spacing and an equal number of cells and nodes. Through the proposed scheme, we determine the geometric size of individual cube by Adapting the flow characteristics and geometrical shapes using an adaptively refining Cartesian grid approaches. The uniform spacing and equal number of cells and nodes in the Cartesian grid of individual cubes ensure a good performance for parallel computations; large result data can be handled efficiently. Further, an algorithm to solve the inviscid flow equations on the Building-Cube mesh for three-dimensional (3D) geometries is presented. The validation and performance of the proposed 3D BCM are demonstrated through comparisons of the computed results with the experimental data for the ONERA M6 wing and ONERA M5 wing-fuselage configurations.

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Abbreviations

ρ :

density

e :

total energy

u, v, w :

velocity components in x, y, z directions

Q :

vector of conservative variables

E, F, G :

inviscid flux vectors in x, y, z directions

V t :

tangential velocity at the wall boundary

V :

averaged velocity from fluid nodes

\(\vec n\) :

normal vector computed from triangle

H 0 :

total enthalpy

γ :

rate of specific heat

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Authors and Affiliations

  1. Creative Aero-IT-Mech Convergence Engineering Education Program, Gyeongsang National University, 501, Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, South Korea

    Lae-Sung Kim

  2. Department of Aerospace Engineering, Tohoku University, Aoba 01, Sendai, 980-8579, Japan

    Kazuhiro Nakahashi

  3. School of Mechanical & Aerospace Engineering, ReCAPT, Gyeongsang National University, 501, Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, South Korea

    Zhe-Zhu Xu & Sung-Ki Lyu

  4. School of Power and Energy, Northwestern Polytechnical University, Xi’an, 710-072, China

    Hong Xiao

Authors
  1. Lae-Sung Kim
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  2. Kazuhiro Nakahashi
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  3. Zhe-Zhu Xu
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  4. Hong Xiao
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  5. Sung-Ki Lyu
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Correspondence to Sung-Ki Lyu.

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Kim, LS., Nakahashi, K., Xu, ZZ. et al. Three-dimensional building-cube method for inviscid compressible flow computations. Int. J. Precis. Eng. Manuf. 16, 2673–2681 (2015). https://doi.org/10.1007/s12541-015-0342-4

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  • DOI: https://doi.org/10.1007/s12541-015-0342-4

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