2013 # An implicit ghost-cell immersed boundary method for simulations of moving body problems with control of spurious force oscillations

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(48 citation statements)

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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.…”

confidence: 63%

“…(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.…”

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.…”

confidence: 99%

“…(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.…”

confidence: 99%