# Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence

@article{Marston2022RecentDI, title={Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence}, author={J. B. Marston and Steven M. Tobias}, journal={Annual Review of Fluid Mechanics}, year={2022} }

Understanding inhomogeneous and anisotropic fluid flows require mathematical and computational tools that are tailored to such flows and distinct from methods used to understand the canonical problem of homogeneous and isotropic turbulence. We review some recent developments in the theory of inhomogeneous and anisotropic turbulence, placing special emphasis on several kinds of quasi-linear approximations and their corresponding statistical formulations. Aspects of quasi-linear theory that have…

## 3 Citations

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Abstract The concept of statistical stability is central to Malkus's 1956 attempt to predict the mean profile in shear flow turbulence. Here we discuss how his original attempt to assess this – an…

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Taylor–Couette flow is well known to admit a spiral turbulence state in which laminar and turbulent patches coexist around the cylinder. This flow state is quite complex, with delicate internal…

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Direct statistical simulation (DSS) of nonlinear dynamical systems bypasses the traditional route of accumulating statistics by lengthy direct numerical simulations (DNS) by solving the equations…

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