Exciting turbulence in an elongated domain

Abstract

Motivated by recent experimental results in grid turbulence with very long streamwise velocity correlations, we consider numerical simulations of turbulence in a domain that is elongated in one direction. Energy is injected in the largest wavelengths of the system. Compared to turbulence in traditional cubic domains, larger Reynolds numbers, wider inertial ranges, more significant intermittency, and longer surviving large-scale motions are obtained in elongated domains. A mixed Taylor-scale Reynolds number is defined to describe the ratio between inertial and viscous dynamics for elongated turbulence.

Keywords:

• Turbulence
• intermittency
• numerical simulations
• forcing

Acknowledgments

We acknowledge the China Scholarship Council (CSC) for the financial support. Simulations were carried out using the facilities of the PMCS2I (École Centrale de Lyon) and IDRIS (project number: A0102A02206). LF acknowledges the support from the National Natural Science Foundation of China (12372214) and the Science Center for Gas Turbine Project (P2022-C-III-001-001).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

We acknowledge the China Scholarship Council (CSC) for the financial support. Simulations were carried out using the facilities of the PMCS2I (École Centrale de Lyon) and IDRIS (project number: A0102A02206).