Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence

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 quasilinear approximations and their corresponding statistical formulations. Aspects of quasilinear theory that have received insufficient attention in the literature are discussed, and open questions are framed.Comment: Some added material and references and corrected typos. To appear in Annual Reviews of Fluid Mechanics. 29 pages, 7 figures. When citing this paper, please use the following: J. B. Marston and S. M. Tobias. 2022. "Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence," Ann. Rev. Fluid Mech. Vol. 55. Accepted. http://doi.org/10.1146/annurev-fluid-120720-03100