TY - JOUR
T1 - Second-order kinetic energy-conservative analysis of incompressible turbulence under a collocated grid system
AU - Suzuki, Hiroki
AU - Hasegawa, Yutaka
AU - Watanabe, Masaya
AU - Tatsuo, Ushijima
AU - Mochizuki, Shinsuke
N1 - Funding Information:
The authors acknowledge Professor Y. Morinishi (Nagoya Institute of Technology) for his valuable comments on this study. This work was supported in part by the Japanese Ministry of Education, Culture, Sports, Science and Technology through Grants-in-Aid (Nos. 17K06160, 18K03932, and 18H01369).
Publisher Copyright:
© 2020 Published under licence by IOP Publishing Ltd.
PY - 2020/9/28
Y1 - 2020/9/28
N2 - The study presented in this paper investigates the second-order conservation error of kinetic energy of an incompressible flow under a collocated grid. A collocated grid is often used to numerically analyse the flow around an aerofoil. The kinetic energy conservation error under a collocated grid is often greater than that under a staggered grid. The results of analysis based on coarse computational grids, such as LES analysis, are considerably affected by the kinetic energy conservation error. This study shows the results of numerical analysis in which the kinetic energy has a second-order conservation error under the collocated grid. This higher-order kinetic energy is strictly validated using inviscid flow. Furthermore, the results of conservation errors of higher-order statistics of kinetic energy are discussed in this study. The numerical analysis is then validated using a turbulent channel flow. The statistics obtained by this analysis agree well with those of previous studies in turbulent channel flows.
AB - The study presented in this paper investigates the second-order conservation error of kinetic energy of an incompressible flow under a collocated grid. A collocated grid is often used to numerically analyse the flow around an aerofoil. The kinetic energy conservation error under a collocated grid is often greater than that under a staggered grid. The results of analysis based on coarse computational grids, such as LES analysis, are considerably affected by the kinetic energy conservation error. This study shows the results of numerical analysis in which the kinetic energy has a second-order conservation error under the collocated grid. This higher-order kinetic energy is strictly validated using inviscid flow. Furthermore, the results of conservation errors of higher-order statistics of kinetic energy are discussed in this study. The numerical analysis is then validated using a turbulent channel flow. The statistics obtained by this analysis agree well with those of previous studies in turbulent channel flows.
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U2 - 10.1088/1742-6596/1633/1/012063
DO - 10.1088/1742-6596/1633/1/012063
M3 - Conference article
AN - SCOPUS:85093659341
SN - 1742-6588
VL - 1633
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012063
T2 - 3rd International Conference on Mechanical, Electric and Industrial Engineering, MEIE 2020
Y2 - 18 June 2020
ER -
