Volume 11, Issue 3
The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence

Zheng Yan, Xinliang Li, Yaowei Fu & Changping Yu

Adv. Appl. Math. Mech., 11 (2019), pp. 700-710.

Published online: 2019-01

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  • Abstract

Helicity plays an important role in the nonlinear dynamic process of compressible helical turbulence. We carry out direct numerical simulations (DNS) of compressible helical turbulence with different mean helicity at the grid resolution of $512^3$ and try to explore the physical mechanism of kinetic energy cascade under the effect of helicity. The filtering method of coarse-graining is employed for scale decomposition to get kinetic energy flux. We get some novel conclusions in contrast to pre-existing knowledge in incompressible helical turbulence. Firstly, helicity also hinders the process of compressible kinetic energy cascade and reduces viscous dissipation. Secondly, helicity weakens some exclusive features, such as coupling between compressible and solenoidal mode of fluctuating velocity, energy transformation between kinetic energy and internal energy, and shocklets which appear only in compressible turbulence and serves as the role of constraint.

  • Keywords

Helicity, direct numerical simulations, kinetic energy cascade.

  • AMS Subject Headings

76A02, 76F05, 76J20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-700, author = {Yan , Zheng and Li , Xinliang and Fu , Yaowei and Yu , Changping}, title = {The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {700--710}, abstract = {

Helicity plays an important role in the nonlinear dynamic process of compressible helical turbulence. We carry out direct numerical simulations (DNS) of compressible helical turbulence with different mean helicity at the grid resolution of $512^3$ and try to explore the physical mechanism of kinetic energy cascade under the effect of helicity. The filtering method of coarse-graining is employed for scale decomposition to get kinetic energy flux. We get some novel conclusions in contrast to pre-existing knowledge in incompressible helical turbulence. Firstly, helicity also hinders the process of compressible kinetic energy cascade and reduces viscous dissipation. Secondly, helicity weakens some exclusive features, such as coupling between compressible and solenoidal mode of fluctuating velocity, energy transformation between kinetic energy and internal energy, and shocklets which appear only in compressible turbulence and serves as the role of constraint.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s13}, url = {http://global-sci.org/intro/article_detail/aamm/12992.html} }
TY - JOUR T1 - The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence AU - Yan , Zheng AU - Li , Xinliang AU - Fu , Yaowei AU - Yu , Changping JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 700 EP - 710 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s13 UR - https://global-sci.org/intro/article_detail/aamm/12992.html KW - Helicity, direct numerical simulations, kinetic energy cascade. AB -

Helicity plays an important role in the nonlinear dynamic process of compressible helical turbulence. We carry out direct numerical simulations (DNS) of compressible helical turbulence with different mean helicity at the grid resolution of $512^3$ and try to explore the physical mechanism of kinetic energy cascade under the effect of helicity. The filtering method of coarse-graining is employed for scale decomposition to get kinetic energy flux. We get some novel conclusions in contrast to pre-existing knowledge in incompressible helical turbulence. Firstly, helicity also hinders the process of compressible kinetic energy cascade and reduces viscous dissipation. Secondly, helicity weakens some exclusive features, such as coupling between compressible and solenoidal mode of fluctuating velocity, energy transformation between kinetic energy and internal energy, and shocklets which appear only in compressible turbulence and serves as the role of constraint.

Zheng Yan, Xinliang Li, Yaowei Fu & Changping Yu. (2020). The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence. Advances in Applied Mathematics and Mechanics. 11 (3). 700-710. doi:10.4208/aamm.2018.s13
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