A radial basis function for reconstructing complex immersed boundaries in ghost cell method

Xin, Jianjian; Li, Ting-qiu; Shi, Fulong

doi:10.1007/s42241-018-0097-3

Cited by 3 publications

(3 citation statements)

References 18 publications

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“…Thirdly, more and more complicated interpolation functions are proposed by many researchers for different purposes, including the piecewise, quadratic, Cosine smooth and so on 5 , 24 . These new interpolation schemes successfully improve computational accuracy in various contexts via advanced high order approximations 6 , 25 . Nevertheless, such advanced schemes are usually computationally expensive and difficult to implement due to its high complexity in algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…Traditional FSI methods, like the arbitrary Lagrangian–Eulerian (ALE) method, work well with simple geometries but usually fail to deal with high grid distortions due to complex geometries. Fortunately, the emerging meshless FSI methods, especially the immersed boundary method (IBM), naturally avoids such defects and thus has a promising prospect 5 , 6 . IBM was first proposed by Peskin 7 to simulate blood flow around the heart valves.…”

Section: Introductionmentioning

confidence: 99%

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A high-efficiency discretized immersed boundary method for moving boundaries in incompressible flows

Liu

et al. 2023

Sci Rep

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The Immersed Boundary Method (IBM) has an advantage in simulating fluid–structure interaction, owning to its simplicity, intuitiveness, and ease of handling complex object boundaries. The interpolation function plays a vital role in IBM and it is usually computationally intensive. For moving or deforming solids, the interpolation weights of all the immersed boundary points ought to be updated every time step, which takes quite a lot CPU time. Since the interpolation procedure within all uniform structured grids is highly repetitive and very similar, we propose a simple and generalized Discretized Immersed Boundary Method (DIBM), which significantly improves efficiency by discretizing the interpolation functions onto subgrid points within each control volume and reusing a predefined universal interpolation stencil. The accuracy and performance of DIBM are analyzed using both theoretical estimation and simulation tests. The results show speedup ratios of 30–40 or even higher using DIBM when compared with conventional IBM for typical moving boundary simulations like particle-laden flows, while the error is estimated to be under 1% and can be further decreased by using finer subgrid stencils. By balancing the performance and accuracy demands, DIBM provides an efficient alternative framework for handling moving boundaries in incompressible viscous flows.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A high-efficiency discretized immersed boundary method for moving boundaries in incompressible flows

Liu

et al. 2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Traditional FSI methods, like the arbitrary Lagrangian-Eulerian (ALE) method, work well with simple geometries but usually fail to deal with high grid distortion due to complex geometry. Fortunately, the emerging meshless FSI methods, especially the immersed boundary method (IBM), can naturally avoid such defects and thus has a promising prospect [5][6] . IBM was first proposed by Peskin (1972) [7] to simulate blood flow around the heart valves.…”

Section: Introductionmentioning

confidence: 99%

A high-efficiency Discretized Immersed Boundary Method for moving boundaries in incompressible flows

Liu

et al. 2022

Preprint

View full text Add to dashboard Cite

The Immersed Boundary Method (IBM) has an advantage in simulating fluid-structure interaction, owning to its simplicity, intuitiveness, and ease of handling complex object boundaries. The interpolation function plays a vital role in IBM and it is usually computationally intensive. For moving or deforming solids, the interpolation weights of all of the immersed boundary points ought to be updated every time step, which takes quite a lot CPU time. Considering the fact that the interpolation procedure within all uniform structured grids is highly repetitive and very similar, we propose a simple and generalized Discretized Immersed Boundary Method (DIBM), which significantly improves efficiency by discretizing the interpolation functions onto subgrid points within each control volume and forming and reusing a universal interpolation stencil. The accuracy and performance of DIBM are analyzed using both theoretical estimation and simulation tests. The results show speedup ratios of 30 ~ 40 or even higher using DIBM when compared with traditional IBM for typical moving boundary simulations like particle-laden flows, while the error is estimated to be under 1% and can be further decreased by using finer subgrid stencils. By balancing the performance and accuracy demands, DIBM provides a efficient alternative way for handling moving boundaries in incompressible viscous flows.

show abstract

Comparison of Ghost Cell and one-sided Interpolation method for moving bodies in Immersed Boundary Method

Ali

Sousa

Awad

et al. 2023

AIAA AVIATION 2023 Forum

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A radial basis function for reconstructing complex immersed boundaries in ghost cell method

Cited by 3 publications

References 18 publications

A high-efficiency discretized immersed boundary method for moving boundaries in incompressible flows

A high-efficiency discretized immersed boundary method for moving boundaries in incompressible flows

A high-efficiency Discretized Immersed Boundary Method for moving boundaries in incompressible flows

Comparison of Ghost Cell and one-sided Interpolation method for moving bodies in Immersed Boundary Method

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