Direct numerical simulation of the turbulent flow in an elliptical pipe |
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Authors: | T. V. Voronova N. V. Nikitin |
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Affiliation: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia;(2) Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia |
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Abstract: | The turbulent flow in a pipe with an elliptical cross section is directly simulated at Re = 4000 (where the Reynolds number Re is calculated in terms of the mean velocity and the hydraulic diameter). The incompressible Navier-Stokes equations are solved in curvilinear orthogonal coordinates by using a central-difference approximation in space and a third-order accurate semi-implicit Runge-Kutta method for time integration. The discrete equations inherit some properties of the original differential equations, in particular, the neutrality of the convective terms and of the pressure gradient in the kinetic energy production. The distributions of the mean and fluctuation characteristics of the turbulent motion over the pipe’s cross section are computed. |
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Keywords: | Navier-Stokes equations difference discretization semi-implicit Runge-Kutta method direct numerical simulation of turbulent flows flow in elliptical pipe turbulent secondary flows |
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