TY - JOUR
T1 - Hessian-based Lagrangian closure theory for passive scalar turbulence
AU - Ariki, Taketo
AU - Yoshida, Kyo
N1 - Funding Information:
We were benefited from valuable discussions with Professor Yukio Kaneda and Professor Katsunori Yoshimatsu, which greatly helped us to brush up the current work. Also we would like to acknowledge fruitful communication with Professor Ye Zhou and his encouraging comments on the present work. This study was supported by JSPS Grant-in-Aid for Scientific Research (S) JP16H06339.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/10
Y1 - 2021/10
N2 - Self-consistent closure theory for passive scalar turbulence has been developed on the basis of the Hessian of the scalar field. As a primitive indicator of spatial structure of the scalar, we employ the Hessian into the core of the theory to properly characterize the time scale intrinsic to the scalar field itself. The resultant closure model is now endowed with several realistic features, i.e., the scale locality of the interscale interaction, the detailed conservation, and the memory-fading effect. Applying the current theory to the inertial-convective range eventually leads to self-consistent derivation of the Obukhov-Corrsin spectrum with its universal constant consistent with numerical and experimental data.
AB - Self-consistent closure theory for passive scalar turbulence has been developed on the basis of the Hessian of the scalar field. As a primitive indicator of spatial structure of the scalar, we employ the Hessian into the core of the theory to properly characterize the time scale intrinsic to the scalar field itself. The resultant closure model is now endowed with several realistic features, i.e., the scale locality of the interscale interaction, the detailed conservation, and the memory-fading effect. Applying the current theory to the inertial-convective range eventually leads to self-consistent derivation of the Obukhov-Corrsin spectrum with its universal constant consistent with numerical and experimental data.
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U2 - 10.1103/PhysRevFluids.6.104603
DO - 10.1103/PhysRevFluids.6.104603
M3 - Article
AN - SCOPUS:85116220576
VL - 6
JO - Physical Review Fluids
JF - Physical Review Fluids
SN - 2469-990X
IS - 10
M1 - 104603
ER -