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arXiv · 1505.01519

Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts

Alexander G. Churbanov·Petr N. Vabishchevich
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Abstract

The models that are based of fractional derivatives should be highlighted among promising new models to describe turbulent fluid flows. In the present work, a steady-state flow in a duct is considered under the condition that the turbulent diffusion is governed by a fractional power of the Laplace operator. To study numerically flows in rectangular channels, finite-difference approximations are employed. For approximate solving the corresponding boundary value problem, the iterative method of conjugate gradients is used. At each iteration, the problem with a fractional power of the grid Laplace operator is solved. Predictions of turbulent flows in ducts at different Reynolds numbers are presented via mean velocity fields.

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Alexander G. Churbanov, Petr N. Vabishchevich. 2015-05-06. Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. https://doi.org/10.1016/j.jcp.2016.06.009

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