TY - JOUR
T1 - Effect of the kinetic energy conservation error on unsteady/steady isotropic turbulence
T2 - 4th International Conference on Material Strength and Applied Mechanics, MSAM 2021
AU - Nakamura, Shinnosuke
AU - Suzuki, Hiroki
AU - Mochizuki, Shinsuke
N1 - Funding Information:
This work was supported in part by the Japanese Ministry of Education, Culture, Sports, Science and Technology through Grants-in-Aid (Nos. 20H02069 and 21K03859). This work was supported (in part) by Grant for Environmental Research Projects from The Sumitomo Foundation.
Publisher Copyright:
© 2021 Institute of Physics Publishing. All rights reserved.
PY - 2021/10/25
Y1 - 2021/10/25
N2 - This study presents the effects of the conservation error of turbulent kinetic energy on the isotropic turbulence field. Here, the present research focuses on the effects on the unsteady turbulence field in addition to the steady field. This unsteady turbulence field is given by changing the magnitude of the external forcing term using a linear forcing scheme with a sinusoidal function. The conservation error is caused by using the Crank-Nicolson method, which is an implicit time integration method. This result is examined by comparing those with the results with negligible conservation error using the fourth-order Runge-Kutta scheme. For this unsteady turbulence, the period and amplitude of the external forcing term are changed as computational conditions. In contrast to steady turbulence, unsteady turbulence is shown to be affected by turbulent kinetic energy conservation error. These effects are significant when the period is short and the amplitude is large.
AB - This study presents the effects of the conservation error of turbulent kinetic energy on the isotropic turbulence field. Here, the present research focuses on the effects on the unsteady turbulence field in addition to the steady field. This unsteady turbulence field is given by changing the magnitude of the external forcing term using a linear forcing scheme with a sinusoidal function. The conservation error is caused by using the Crank-Nicolson method, which is an implicit time integration method. This result is examined by comparing those with the results with negligible conservation error using the fourth-order Runge-Kutta scheme. For this unsteady turbulence, the period and amplitude of the external forcing term are changed as computational conditions. In contrast to steady turbulence, unsteady turbulence is shown to be affected by turbulent kinetic energy conservation error. These effects are significant when the period is short and the amplitude is large.
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U2 - 10.1088/1742-6596/2047/1/012009
DO - 10.1088/1742-6596/2047/1/012009
M3 - Conference article
AN - SCOPUS:85119291304
VL - 2047
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012009
Y2 - 16 August 2021 through 19 August 2021
ER -