A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems

Horng, Tzyy Leng; Hsieh, Po Wen; Yang, Shao-Ming; You, Cheng Shu

doi:10.1016/j.compfluid.2018.02.003

Cited by 18 publications

(23 citation statements)

References 66 publications

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“…In the present work, we employed the DFIB approach developed in Reference [6][7][8] for all 2D and 3D FSI computations. A virtual force is added to the incompressible Navier-Stokes equations in order to accommodate the interaction between solid and fluid.…”

Section: Mathematical Model and Numerical Methodsmentioning

confidence: 99%

“…The distinction, attributable to the geometry of plates, was observed in the angular velocity, in which the rectangular plate was found to rotate at a much slower rate than the elliptical one. Though the falling of solids with a slender shape, like ellipse and rectangular plate exhibits richer falling patterns, here, we managed to study this sedimentation hydrodynamics staring from a circular disk to a triangle and, finally, to an ellipse by decreasing the symmetry in shape using our long-term developing direct-forcing immersed boundary (DFIB) method [6][7][8]. To avoid repetition, the fundamental idea of DFIB method, together with its benchmark testing and error analysis, is referred to Reference [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…Though the falling of solids with a slender shape, like ellipse and rectangular plate exhibits richer falling patterns, here, we managed to study this sedimentation hydrodynamics staring from a circular disk to a triangle and, finally, to an ellipse by decreasing the symmetry in shape using our long-term developing direct-forcing immersed boundary (DFIB) method [6][7][8]. To avoid repetition, the fundamental idea of DFIB method, together with its benchmark testing and error analysis, is referred to Reference [6][7][8]. Besides free falling of a single solid object, sedimentation of multiple solid particles has long been an interesting and fundamental subject bearing many significant industrial applications, such as paper making, specialty chemicals, petroleum, bioengineering, pharmaceuticals, biomass gasification, and combustion.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of Freely Falling Objects Using Direct-Forcing Immersed Boundary Method

et al. 2020

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The fluid-structure interaction of solid objects freely falling in a Newtonian fluid was investigated numerically by direct-forcing immersed boundary (DFIB) method. The Navier–Stokes equations are coupled with equations of motion through virtual force to describe the motion of solid objects. Here, we rigorously derived the equations of motion by taking control-volume integration of momentum equation. The method was validated by a popular numerical test example describing the 2D flow caused by the free fall of a circular disk inside a tank of fluid, as well as 3D experimental measurements in the sedimentation of a sphere. Then, we demonstrated the method by a few more 2D sedimentation examples: (1) free fall of two tandem circular disks showing drafting, kissing and tumbling phenomena; (2) sedimentation of multiple circular disks; (3) free fall of a regular triangle, in which the rotation of solid object is significant; (4) free fall of a dropping ellipse to mimic the falling of a leaf. In the last example, we found rich falling patterns exhibiting fluttering, tumbling, and chaotic falling.

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Section: Mathematical Model and Numerical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of Freely Falling Objects Using Direct-Forcing Immersed Boundary Method

et al. 2020

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“…In the application of IBM, accurate solutions must be ensured by defining an appropriate resolution for the flow features around the surface of a thin object. In case of fluid flow around the thin object, the solution may present a situation in which simulated vibrations occur within the calculated pressure (Bailoor, Annangi, Seo, & Bhardwaj, 2017;Boukharfane, Eugênio Ribeiro, Bouali, & Mura, 2018;Horng, Hsieh, Yang, & You, 2018). These vibrations are occasionally considered IBM features; however, such effects can be eliminated or drastically reduced by applying a second-stage correction to the calculated pressure (Frantzis & Grigoriadis, 2019;Griffith & Luo, 2017;Lee & LeVeque, 2003;Riahi, Meldi, Favier, Serre, & Goncalves, 2018;Sotiropoulos & Yang, 2014;Ya, Takeuchi, & Kajishima, 2007).…”

Section: Introductionmentioning

confidence: 99%

Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method

Salih

Aldlemy

Rasani

et al. 2019

Engineering Applications of Computational Fluid Mechanics

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This study aims to develop an adaptive mesh refinement (AMR) algorithm combined with Cut-Cell IBM using two-stage pressure-velocity corrections for thin-object FSI problems. To achieve the objective of this study, the AMR-immersed boundary method (AMR-IBM) algorithm discretizes and solves the equations of motion for the flow that involves rigid thin structures boundary layer at the interface between the structure and the fluid. The body forces are computed in proportion to the fraction of the solid volume in the IBM fluid cells to incorporate fluid and solid motions into the boundary. The corrections of the velocity and pressure is determined by using a novel simplified marker and cell scheme. The new developed AMR-IBM algorithm is validated using a benchmark data of fluid past a cylinder and the results show that there is good agreement under laminar flow. Simulations are conducted for three test cases with the purpose of demonstration the accuracy of the AMR-IBM algorithm. The validation confirms the robustness of the new algorithms in simulating flow characteristics in the boundary layers of thin structures. The algorithm is performed on a staggered grid to simulate the fluid flow around thin object and determine the computational cost.

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“…The proposed scheme is probably the first one developed for computing transient flows past bluff bodies on nonuniform Cartesian grids fitted to the surface of the bluff‐bodies without the need of using transformation. Note that most of the earlier schemes that have been developed for flow past bluff bodies on the finite difference or finite volume framework has adopted the immersed interface approach 10,11 that invariably results in some extra computations arising out of interpolation. This is because of the inability of the frequently used finite difference schemes to handle boundaries not aligned to the grid lines of the finite difference mesh.…”

Section: Introductionmentioning

confidence: 99%

An efficient ψ‐v scheme for two‐dimensional laminar flow past bluff bodies on compact nonuniform grids

Kumar

Kalita

2020

Numerical Methods in Fluids

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Summary We recently proposed a second‐order accurate ψ‐v formulation of the steady‐state Navier‐Stokes (N‐S) equations on compact Cartesian nonuniform grids. In the current work, we extend the ideas of the aforesaid formulation and propose a second‐order spatially compact, implicit, stable ψ‐v formulation for the unsteady incompressible N‐S equations. Contrary to the existing ψ‐v finite difference formulations which use grid transformation, the proposed scheme is developed for nonuniform Cartesian grids without transformation specifically designed for two‐dimensional laminar flow past bluff bodies. It has been implemented on problems of internal flows inside curved regions as well as those involving fluid‐embedded body interaction. However, the robustness of the scheme is highlighted by the accurate resolution of a host of complex flows past bluff bodies with different physical set‐ups and boundary conditions. It was seen to handle problems involving both uniform and accelerated flows across a wide range of structures of varied shape, namely, a flat plate, a circular cylinder, inclined square cylinder, and a wedge in channel hinged to the wall. Apart from elegantly capturing all the details of the shedded vortex structures under different circumstances, the scheme was also able to handle both Dirichlet and Neumann boundary with equal ease. In all the cases, our results are found to be extremely close to the available numerical and experimental results.

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A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems

Cited by 18 publications

References 66 publications

Numerical Investigation of Freely Falling Objects Using Direct-Forcing Immersed Boundary Method

Numerical Investigation of Freely Falling Objects Using Direct-Forcing Immersed Boundary Method

Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method

An efficient ψ‐v scheme for two‐dimensional laminar flow past bluff bodies on compact nonuniform grids

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