Sharp interface immersed boundary methods and their application to vortex-induced vibration of a cylinder

Griffith, Martin D.; Leontini, Justin

doi:10.1016/j.jfluidstructs.2017.04.008

Cited by 30 publications

(19 citation statements)

References 36 publications

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“…While such an interpolation scheme can lead to spurious oscillations in the pressure field that the distributed-force immersed-boundary scheme does not suffer from, the interpolation has the advantage of maintaining a sharp representation of the boundary, which can be important for multiple bodies in proximity. It should be noted that a recent study has shown that these spurious oscillations pose no problem for fluid-structure problems as long as the resolution of the mesh is adequate (Griffith & Leontini 2017).…”

Section: Methodsmentioning

confidence: 99%

“…The basic method follows closely that outlined in Mittal et al (2008), and further details of the implementation used here for fluid-structure interaction problems is provided in (Griffith & Leontini 2017). A concise description of the method is provided below.…”

Section: Methodsmentioning

confidence: 99%

“…A more in-depth treatment of the validation of the code, control of error and details of the implementation can be found in Griffith & Leontini (2017). For this validation study, the mass ratio is set to m * = 1, which is lower than the mass ratio used for the two-cylinder problem (m * = 2.546) that is the focus of the current study.…”

Section: Validationmentioning

confidence: 99%

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Flow-induced vibration of two cylinders in tandem and staggered arrangements

et al. 2017

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. A numerical study of the flow-induced vibration of two elastically mounted cylinders in tandem and staggered arrangements at Reynolds number Re = 200 is presented. The cylinder centres are set at a streamwise distance of 1.5 cylinder diameters, placing the rear cylinder in the near-wake region of the front cylinder for the tandem arrangement. The cross-stream or lateral offset is varied between 0 and 5 cylinder diameters. The two cylinders are identical, with the same elastic mounting, and constrained to oscillate only in the cross-flow direction. The variation of flow behaviours is examined for static cylinders and for elastic mountings of a range of spring stiffnesses, or reduced velocity. At least seven major modes of flow response are identified, delineated by whether the oscillation is effectively symmetric, and the strength of the influence of the flow through the gap between the two cylinders. Submodes of these are also identified based on whether or not the flow remains periodic. More subtle temporal behaviours, such as period doubling, quasi-periodicity and chaos, are also identified and mapped. Across all of these regimes, the amplitudes of vibration and the magnitude of the fluid forces are quantified. The modes identified span the parameter space between two important limiting cases: two static bodies at varying lateral offset; and two elastically mounted bodies in a tandem configuration at varying spring stiffnesses. Some similarity in the response of extremely stiff or static bodies and extremely slack bodies is shown. This is explained by the fact that the slack bodies are free to move to an equilibrium position and stop, effectively becoming a static system. However, the most complex behaviour appears between these limits, when the bodies are in reasonably close proximity, and the natural structural frequency is close to the vortex shedding frequency of a single cylinder. This appears to be driven by the interplay between a series of time scales, including the vortex formation time, the advection time across the gap between the cylinders and the oscillation period of both bodies. This points out an important difference between this multi-body system and the classic single-cylinder vortex-induced vibration: two bodies in close proximity will not oscillate in a synchronised, periodic manner when their natural structural frequencies are close to the nominal vortex shedding frequency of a single cylinder.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

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Flow-induced vibration of two cylinders in tandem and staggered arrangements

et al. 2017

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“…A drawback that exists in all sharp interface IBM is known as the spurious pressure oscillation near the boundary. This adverse effect is more highlighted in cases where the boundary is allowed to move in the fluid domain . The adverse pressure oscillation occurs only in the sharp interface IBM as the spurious pressure oscillations are diminished in the diffused‐interface IBM, as a result of the smoothed and spread forcing term.…”

Section: Application Of the Curvib‐mls Methods To Canonical Flow Problemsmentioning

confidence: 99%

“…Seo and Mittal identified the error as the violation of the geometric conservation law, due to appearance of fresh/dead nodes, and local changes in the effective geometry of immersed body, which introduces local mass sources/sinks in the vicinity of the immersed body. Many remedies have been proposed to this adverse effect but none could completely eliminate the inherent pressure oscillation …”

Section: Application Of the Curvib‐mls Methods To Canonical Flow Problemsmentioning

confidence: 99%

Moving least squares reconstruction for sharp interface immersed boundary methods

Mohammadi

Sotiropoulos

Brinkerhoff

2019

Numerical Methods in Fluids

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Summary We propose a new approach for reconstructing velocity boundary conditions in sharp‐inerface immersed boundary (IB) methods based on the moving least squares (MLS) interpolation method. The MLS is employed to not only reconstruct velocity boundary conditions but also to calculate the pressure and velocity gradients in the vicinity of the immersed body, which are required in fluid structure interaction problems to obtain the force exerted by the fluid on the structure. To extend the method to arbitrarily complex geometries with nonconvex shaped boundaries, the visibility method is combined with the MLS method. The performance of the proposed curvilinear IB MLS (CURVIB‐MLS) is demonstrated by systematic grid‐refinement studies for two‐ and three‐dimensional tests and compared with the standard CURVIB method employing standard wall‐normal interpolation for reconstructing boundary conditions. The test problems are flow in a lid‐driven cavity with a sphere, uniform flow over a sphere, flow on a NACA0018 airfoil at incidence, and vortex‐induced vibration of an elastically‐mounted cylinder. We show that the CURVIB‐MLS formulation yields a method that is easier to implement in complex geometries and exhibits higher accuracy and rate of convergence relative to the standard CURVIB method. The MLS approach is also shown to dramatically improve the accuracy of calculating the pressure and viscous forces imparted by the flow on the body and improve the overall accuracy of FSI simulations. Finally, the CURVIB‐MLS approach is able to qualitatively capture on relatively coarse grids important features of complex separated flows that the standard CURVIB method is able to capture only on finer grids.

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Developing an immersed boundary method for compressible flow

Kristoffersen,

Larsson,

Johnsen

et al. 2023

Proc Appl Math and Mech

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Development of a 3D sharp interface ghost node immersed boundary method (IBM) within a fluid solver based on the compressible Navier–Stokes equations is underway. The objective of the IBM is to accurately apply boundary conditions at fluid–solid interfaces. The Navier–Stokes solver is currently being verified using various test cases, including the classic cylinder in cross flow. As part of this verification process, particular attention was given to investigating the effects of different lateral boundary conditions. The results demonstrate that extrapolation boundary conditions exhibit better agreement with the literature compared to symmetry conditions, in cases with relatively narrow domains. These findings highlight the potential benefits of extrapolation boundary conditions in reducing confinement effects and removing nonphysical waves in external flow problems.

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Sharp interface immersed boundary methods and their application to vortex-induced vibration of a cylinder

Cited by 30 publications

References 36 publications

Flow-induced vibration of two cylinders in tandem and staggered arrangements

Flow-induced vibration of two cylinders in tandem and staggered arrangements

Moving least squares reconstruction for sharp interface immersed boundary methods

Developing an immersed boundary method for compressible flow

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