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Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers

Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers
Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers
An accurate Cartesian-grid treatment for intermediate Reynolds number fluid-solid interaction problems is described. We first identify the inability of existing immersed boundary methods to handle intermediate Reynolds number flows to be the discontinuity of the velocity gradient at the interface. We address this issue by generalizing the Boundary Data Immersion Method (BDIM, Weymouth and Yue (2011)), in which the field equations of each domain are combined analytically, through the addition of a higher order term to the integral formulation. The new method retains the desirable simplicity of direct forcing methods and smoothes the velocity field at the fluid-solid interface while removing its bias. Based on a second-order convolution, it achieves second-order convergence in the L2 norm, regardless of the Reynolds number. This results in accurate flow predictions and pressure fields without spurious fluctuations, even at high Reynolds number. A treatment for sharp corners is also derived that significantly improves the flow predictions near the trailing edge of thin airfoils. The second-order BDIM is applied to unsteady problems relevant to ocean energy extraction as well as animal and vehicle locomotion for Reynolds numbers up to 10^5.
0045-7825
106-129
Maertens, A.P.
1815f250-8d90-4cd2-aa13-fa71855afbba
Weymouth, G.D.
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Maertens, A.P.
1815f250-8d90-4cd2-aa13-fa71855afbba
Weymouth, G.D.
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0

Maertens, A.P. and Weymouth, G.D. (2015) Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers. Computer Methods in Applied Mechanics and Engineering, 283, 106-129. (doi:10.1016/j.cma.2014.09.007).

Record type: Article

Abstract

An accurate Cartesian-grid treatment for intermediate Reynolds number fluid-solid interaction problems is described. We first identify the inability of existing immersed boundary methods to handle intermediate Reynolds number flows to be the discontinuity of the velocity gradient at the interface. We address this issue by generalizing the Boundary Data Immersion Method (BDIM, Weymouth and Yue (2011)), in which the field equations of each domain are combined analytically, through the addition of a higher order term to the integral formulation. The new method retains the desirable simplicity of direct forcing methods and smoothes the velocity field at the fluid-solid interface while removing its bias. Based on a second-order convolution, it achieves second-order convergence in the L2 norm, regardless of the Reynolds number. This results in accurate flow predictions and pressure fields without spurious fluctuations, even at high Reynolds number. A treatment for sharp corners is also derived that significantly improves the flow predictions near the trailing edge of thin airfoils. The second-order BDIM is applied to unsteady problems relevant to ocean energy extraction as well as animal and vehicle locomotion for Reynolds numbers up to 10^5.

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Accepted/In Press date: 9 September 2014
Published date: 1 January 2015
Organisations: Fluid Structure Interactions Group

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Local EPrints ID: 369635
URI: http://eprints.soton.ac.uk/id/eprint/369635
ISSN: 0045-7825
PURE UUID: c5c0da88-1492-4253-a7c8-c8502248d95c
ORCID for G.D. Weymouth: ORCID iD orcid.org/0000-0001-5080-5016

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Date deposited: 08 Oct 2014 12:06
Last modified: 03 Dec 2019 01:36

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Contributors

Author: A.P. Maertens
Author: G.D. Weymouth ORCID iD

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