TY - JOUR
T1 - An analytical turbulence modeling based on the double-lagrangian formalism
AU - Ariki, Taketo
N1 - Publisher Copyright:
© 2019 The Japan Society of Mechanical Engineers.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - An analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without relying on empirical parameters. To examine the future possibility of the present methodology as practical modeling approach, a simple non-linear K-e model is constructed, which is then applied to turbulent channel flow at a medium Reynolds number (Re = 590). With the help of conventional modeled equations for K and e, the channel turbulence is stably calculated yielding reasonable agreements with a DNS.
AB - An analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without relying on empirical parameters. To examine the future possibility of the present methodology as practical modeling approach, a simple non-linear K-e model is constructed, which is then applied to turbulent channel flow at a medium Reynolds number (Re = 590). With the help of conventional modeled equations for K and e, the channel turbulence is stably calculated yielding reasonable agreements with a DNS.
KW - Homogeneous turbulence
KW - Lagrangian formalism
KW - Renormalization
KW - Turbulence modeling
KW - Turbulence shear flow
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U2 - 10.1299/jfst.2019jfst0019
DO - 10.1299/jfst.2019jfst0019
M3 - Article
AN - SCOPUS:85078832999
VL - 14
JO - Journal of Fluid Science and Technology
JF - Journal of Fluid Science and Technology
SN - 1880-5558
IS - 3
ER -