Homogeneous shear turbulence as a second-order cone program
Luoyi Tao
Abstract:To help resolve the issues of non-realizability and restriction to homogeneity faced by the analytical theories of turbulence, we explore three-dimensional homogeneous shear turbulence of an incompressible Newtonian fluid within the context of optimal control and convex optimization. The framework is composed of multi-point spatial correlations of velocity and pressure fluctuations up to the degenerate fourth order, their evolution equations, and the constraints. The integral of the trace of the second order c… Show more
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