TY - JOUR
T1 - A family of dynamic subgrid-scale models consistent with asymptotic material frame indifference
AU - Shimomura, Yutaka
PY - 1999/8
Y1 - 1999/8
N2 - It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.
AB - It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.
KW - Cross term
KW - Dynamic subgrid-scale model
KW - Large-eddy simulation
KW - Leonard term
KW - Material frame indifference
KW - Rotation
KW - Turbulence
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U2 - 10.1143/JPSJ.68.2483
DO - 10.1143/JPSJ.68.2483
M3 - Article
AN - SCOPUS:0033443872
VL - 68
SP - 2483
EP - 2486
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 8
ER -