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Direct Numerical Simulation of Turbulent Flow in Pipes With an Arbitrary Roughness Topography Using a Combined Momentum-Mass Source Immersed Boundary Method

Direct Numerical Simulation of Turbulent Flow in Pipes With an Arbitrary Roughness Topography Using a Combined Momentum-Mass Source Immersed Boundary Method, A. T. van Nimwegen, K. C. J. Schutte, and L. M. Portela. Computers & Fluids 2015, 108 , 92–106.

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Abstract

In this work, we consider a combined momentum-mass source immersed boundary method that can be used to easily simulate flows in domains with arbitrary wall topographies, taking advantage of existing standard fast solvers for straight walls. This method is incorporated into a standard second-order finite-volume code with a Fast Fourier Transform solver, previously used for direct numerical simulations of flow in pipes with a straight wall, making it possible to study the influence of a large range of roughness topographies on the flow. The method is validated for both laminar and turbulent flow over walls with sinusoidal undulations. The implementation of the immersed boundary method preserves the secondorder accuracy of the original code, and first-order methods are presented to calculate the shear-stress and the pressure-drag at the wall. Results for turbulent flow over walls represented by a single wavenumber, as well as by a superposition of many wave-numbers, show that the flow in the outer layer is not affected by the nature of the wall topography, provided that the variation in the diameter is not too large. Furthermore, it is found that the relative contributions of the pressure and the shear to the total drag on the wall behave similarly to undulated channel flow, when considered as a function of an effective slope parameter. (C) 2014 Elsevier Ltd. All rights reserved.

BibTeX

@article{ ISI:000348890800008,
Author = {van Nimwegen, A. T. and Schutte, K. C. J. and Portela, L. M.},
Title = {Direct Numerical Simulation of Turbulent Flow in Pipes With an Arbitrary Roughness Topography Using a Combined Momentum-Mass Source Immersed Boundary Method},
Journal = {Computers \& Fluids},
Year = {2015},
Volume = {108},
Pages = {92-106},
Month = {},
Abstract = {In this work, we consider a combined momentum-mass source immersed boundary method that can be used to easily simulate flows in domains with arbitrary wall topographies, taking advantage of existing standard fast solvers for straight walls. This method is incorporated into a standard second-order finite-volume code with a Fast Fourier Transform solver, previously used for direct numerical simulations of flow in pipes with a straight wall, making it possible to study the influence of a large range of roughness topographies on the flow. The method is validated for both laminar and turbulent flow over walls with sinusoidal undulations. The implementation of the immersed boundary method preserves the secondorder accuracy of the original code, and first-order methods are presented to calculate the shear-stress and the pressure-drag at the wall. Results for turbulent flow over walls represented by a single wavenumber, as well as by a superposition of many wave-numbers, show that the flow in the outer layer is not affected by the nature of the wall topography, provided that the variation in the diameter is not too large. Furthermore, it is found that the relative contributions of the pressure and the shear to the total drag on the wall behave similarly to undulated channel flow, when considered as a function of an effective slope parameter. (C) 2014 Elsevier Ltd. All rights reserved.},
DOI = {10.1016/j.compfluid.2014.11.008},
ISSN = {0045-7930},
EISSN = {1879-0747},
Unique-ID = {ISI:000348890800008},
}

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