An implicit ghost-cell immersed boundary method for simulations of moving body problems with control of spurious force oscillations

Lee, Jinmo; You, Donghyun

doi:10.1016/j.jcp.2012.08.044

Cited by 80 publications

(52 citation statements)

References 30 publications

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“…(22)/ (23)) appears similar to that by Huang and Sung [38] for stationary boundaries or by Lee and You [20] for moving bodies, two important differences should be noted, and they relate to global mass conservation and the suppression of spurious force oscillations on staggered grids. The first notable distinction is that the method by Lee and You [20] was developed for collocated grids, on which the mass source term was applied in IB cells only. This is not the case in our method for staggered grids, where the mass source term in Eq.…”

Section: Treatment Of Moving Boundariessupporting

confidence: 63%

“…An extension to curvilinear coordinates presents a similar challenge to this scheme. An alternative solution for the implicit calculation of the momentum forcing is to adopt an iterative strategy [20,31]. Here we propose an iterative approach which can be derived by splitting the intermediate velocity equation into two steps which fully recover Eq.…”

Section: Implicit Forcingmentioning

confidence: 99%

“…Sharp-interface IB methods are known to suffer from spurious force oscillations (SFOs) in moving body problems [15,16,17,18,19,20]. Lee et al [18] identified two main sources of spurious oscillations: (i) The first source is the temporal discontinuity in the velocity which arises as a point from the fluid becomes solid and its velocity is suddenly changed to satisfy the no-slip condition at the IB.…”

Section: Introductionmentioning

confidence: 99%

“…In the present method, an extension of the mass source term by Kim et al [8] for use with moving boundaries is applied. Recently, a similar method applied to cells cut by the boundary was presented by Lee and You [20], and the differences will be discussed.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates

2015

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A robust immersed boundary method for semi-implicit discretizations of the Navier-Stokes equations on curvilinear grids is presented. No-slip conditions are enforced via momentum forcing, and mass conservation at the immersed boundary is satisfied via a mass source term developed for moving bodies. The errors associated with an explicit evaluation of the momentum forcing are analysed, and their influence on the stability of the underlying Navier-Stokes solver is examined. An iterative approach to compute the forcing term implicitly is proposed, which reduces the errors at the boundary and retains the stability guarantees of the original semi-implicit discretization of the Navier-Stokes equations. The implementation in generalized curvilinear coordinates and the treatment of moving boundaries are presented, followed by a number of test cases. The tests include stationary and moving boundaries and curvilinear grid problems (decaying vortex problem, stationary cylinder, flow in 90• bend in circular duct and oscillating cylinder in fluid at rest).

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Section: Treatment Of Moving Boundariessupporting

confidence: 63%

Section: Implicit Forcingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates

2015

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“…(8) at the ghost point. A similar implicit scheme was proposed by Lee and You [37]. In their formulation, however, the pressure gradient at the ghost cell needs to estimate for the time t 0 + Δt to refresh the ghost cell at time t. Such a tedious numerical procedure is not required in the present study.…”

Section: In-line Oscillating Cylinder In Rest Fluidmentioning

confidence: 99%

Implicit Virtual Boundary Method for Moving Boundary Problems on Non-Staggered Cartesian Patch Grids

2017

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A simple numerical method is proposed in the paper for fluid flow around a moving boundary of irregular shape. The unsteady term is discretized with the implicit scheme such that large time step is allowed. All of the computations are performed on non-staggered Cartesian grid system. Fine Cartesian patch grid system covering the moving object is employed to resolve the solution around the solid body. A closed curve defined by connecting the solid grid points adjacent to the solid-liquid interface is referred to as virtual boundary. The narrow irregular strip of solid between the virtual boundary and the actual solid-fluid interface is called pseudo-fluid. The general fluid region consisting of both fluid and pseudo-fluid is a regular domain that can be efficiently solved with conventional numerical method. In this connection, external force is imposed at each fluid grid point adjacent to the solid-fluid interface to compensate for the numerical error arising from the assumption of pseudo-fluid. The solution procedure is iterated until the required external force converges. Accuracy of the new numerical method is validated through three test problems. The numerical method then is used to investigate the flow induced by the flapping wings of a tethered dragonfly in literature. The corresponding CFL numbers of the four examples are infinity, 20, 100, and 3.29.

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Multiscale Modeling of Multiphase Flows

Buist

Baltussen

Peters

et al. 2022

Multiphase Flows for Process Industries

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An implicit ghost-cell immersed boundary method for simulations of moving body problems with control of spurious force oscillations

Cited by 80 publications

References 30 publications

A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates

A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates

Implicit Virtual Boundary Method for Moving Boundary Problems on Non-Staggered Cartesian Patch Grids

Multiscale Modeling of Multiphase Flows

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