TY - JOUR
T1 - Turbulent Prandtl number effect on passive scalar advection
AU - E, Weinan
AU - Vanden-Eijnden, Eric
N1 - Funding Information:
We are grateful to K. Gawȩdzki for helpful discussions. Weinan E is partially supported by a Presidential Faculty Fellowship from NSF. Eric Vanden-Eijnden is partially supported by NSF Grant DMS-9510356.
PY - 2001/5/15
Y1 - 2001/5/15
N2 - A generalization of Kraichnan's model of passive scalar advection is considered. Physically motivated regularizations of the model are considered which take into account both the effects of viscosity and molecular diffusion. The balance between these two effects on the inertial range behavior for the scalar is shown to be parameterized by a new turbulent Prandtl number. Three different regimes are identified in the parameter space depending on degrees of compressibility. In the strongly and weakly compressible regimes, the inertial range behavior of the scalar does not depend on the turbulent Prandtl number. In the regime of intermediate compressibility, the inertial range behavior does depend on the turbulent Prandtl number.
AB - A generalization of Kraichnan's model of passive scalar advection is considered. Physically motivated regularizations of the model are considered which take into account both the effects of viscosity and molecular diffusion. The balance between these two effects on the inertial range behavior for the scalar is shown to be parameterized by a new turbulent Prandtl number. Three different regimes are identified in the parameter space depending on degrees of compressibility. In the strongly and weakly compressible regimes, the inertial range behavior of the scalar does not depend on the turbulent Prandtl number. In the regime of intermediate compressibility, the inertial range behavior does depend on the turbulent Prandtl number.
KW - Kraichnan model
KW - Passive scalar advections
KW - Regularizations
KW - Turbulence
KW - Turbulent Prandtl number
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U2 - 10.1016/S0167-2789(01)00196-8
DO - 10.1016/S0167-2789(01)00196-8
M3 - Article
AN - SCOPUS:0342501875
SN - 0167-2789
VL - 152-153
SP - 636
EP - 645
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -