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Surface-sampled simulations of turbulent flow at high Reynolds number

Surface-sampled simulations of turbulent flow at high Reynolds number
Surface-sampled simulations of turbulent flow at high Reynolds number
A new approach to turbulence simulation, based on a combination of large-eddy simulation (LES) for the whole flow and an array of non-space-filling quasi-direct numerical simulations (QDNS), which sample the response of near-wall turbulence to large-scale forcing, is proposed and evaluated. The technique overcomes some of the cost limitations of turbulence simulation, since the main flow is treated with a coarse-grid LES, with the equivalent of wall functions supplied by the near-wall sampled QDNS. Two cases are tested, at friction Reynolds number Reτ=4200 and 20,000. The total grid node count for the first case is less than half a million and less than two million for the second case, with the calculations only requiring a desktop computer. A good agreement with published DNS is found at Reτ=4200, both in terms of the mean velocity profile and the streamwise velocity fluctuation statistics, which correctly show a substantial increase in near-wall turbulence levels due to a modulation of near-wall streaks by large-scale structures. The trend continues at Reτ=20,000, in agreement with experiment, which represents one of the major achievements of the new approach. A number of detailed aspects of the model, including numerical resolution, LES-QDNS coupling strategy and sub-grid model are explored. A low level of grid sensitivity is demonstrated for both the QDNS and LES aspects. Since the method does not assume a law of the wall, it can in principle be applied to flows that are out of equilibrium.
Turbulence models, Turbulent flow, LES: Large Eddy Simulations, Navier-Stokes, Incompressible flow, Finite difference
0271-2091
525-537
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Johnstone, Roderick
8ac02aa2-776b-4f80-b44d-1a5cf8682f21
Jacobs, Christian
0ffde78b-6ae2-4b44-a916-666f6be2b92c
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Johnstone, Roderick
8ac02aa2-776b-4f80-b44d-1a5cf8682f21
Jacobs, Christian
0ffde78b-6ae2-4b44-a916-666f6be2b92c

Sandham, Neil, Johnstone, Roderick and Jacobs, Christian (2017) Surface-sampled simulations of turbulent flow at high Reynolds number. International Journal for Numerical Methods in Fluids, 85 (9), 525-537. (doi:10.1002/fld.4395).

Record type: Article

Abstract

A new approach to turbulence simulation, based on a combination of large-eddy simulation (LES) for the whole flow and an array of non-space-filling quasi-direct numerical simulations (QDNS), which sample the response of near-wall turbulence to large-scale forcing, is proposed and evaluated. The technique overcomes some of the cost limitations of turbulence simulation, since the main flow is treated with a coarse-grid LES, with the equivalent of wall functions supplied by the near-wall sampled QDNS. Two cases are tested, at friction Reynolds number Reτ=4200 and 20,000. The total grid node count for the first case is less than half a million and less than two million for the second case, with the calculations only requiring a desktop computer. A good agreement with published DNS is found at Reτ=4200, both in terms of the mean velocity profile and the streamwise velocity fluctuation statistics, which correctly show a substantial increase in near-wall turbulence levels due to a modulation of near-wall streaks by large-scale structures. The trend continues at Reτ=20,000, in agreement with experiment, which represents one of the major achievements of the new approach. A number of detailed aspects of the model, including numerical resolution, LES-QDNS coupling strategy and sub-grid model are explored. A low level of grid sensitivity is demonstrated for both the QDNS and LES aspects. Since the method does not assume a law of the wall, it can in principle be applied to flows that are out of equilibrium.

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More information

Submitted date: 7 October 2016
Accepted/In Press date: 26 April 2017
e-pub ahead of print date: 7 June 2017
Published date: 30 November 2017
Keywords: Turbulence models, Turbulent flow, LES: Large Eddy Simulations, Navier-Stokes, Incompressible flow, Finite difference
Organisations: Aeronautics, Astronautics & Comp. Eng, Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 410720
URI: http://eprints.soton.ac.uk/id/eprint/410720
ISSN: 0271-2091
PURE UUID: b0207454-c934-44dc-a1ae-dff360304428
ORCID for Neil Sandham: ORCID iD orcid.org/0000-0002-5107-0944
ORCID for Christian Jacobs: ORCID iD orcid.org/0000-0002-0034-4650

Catalogue record

Date deposited: 09 Jun 2017 09:27
Last modified: 16 Mar 2024 05:16

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Contributors

Author: Neil Sandham ORCID iD
Author: Roderick Johnstone
Author: Christian Jacobs ORCID iD

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