The immersed boundary method
Citations
1,585 citations
1,399 citations
Cites background or methods from "The immersed boundary method"
...This concept is related to the Lagrangian marker points used in the framework of the IB method [23]....
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...The regularized delta function of Peskin [23] is used for the association between arbitrary Lagrangian and discrete Eulerian positions....
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...3 Transfer of quantities between Lagrangian and Eulerian locations Here we use the class of regularized delta functions introduced by Peskin [10, 23] as kernels in the transfer steps between Lagrangian and Eulerian locations....
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...One of the precursors, the immersed boundary (IB) method of Peskin, was originally conceived for flows around flexible membranes, specifically the flow in the human heart [10]....
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...Using the IB method, Lai and Peskin [12] obtained a similar overprediction of the mean drag in this case and attributed the discrepancy to the confinement effect due to the finite distance of the lateral boundaries which are treated as slip walls....
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Cites background from "The immersed boundary method"
...[33,3] may be consulted for a variety of delta functions....
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...[33,27] should be consulted for additional IBMs....
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...Immersed boundary methods (IBMs) have gained popularity for their ability to handle moving or deforming bodies with complex surface geometry [33,27]....
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References
5,841 citations
"The immersed boundary method" refers methods in this paper
...An example of the use of the 3-point delta function can be found in the work of A. Roma (Roma, Peskin and Berger 1999), who used it in conjunction with the MAC scheme ( Harlow and Welch 1965 )....
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...An example of the use of the 3-point delta function can be found in the work of A. Roma (Roma, Peskin and Berger 1999), who used it in conjunction with the MAC scheme (Harlow and Welch 1965)....
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4,991 citations
"The immersed boundary method" refers methods in this paper
...From Chorin, I learned fluid mechanics, and also his projection method (Chorin 1968, Chorin 1969) for incompressible flow, upon which foundation the immersed boundary method was built....
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...From Chorin, I learned fluid mechanics, and also his projection method ( Chorin 1968, Chorin 1969) for incompressible flow, upon which foundation the immersed boundary method was built....
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1,442 citations
"The immersed boundary method" refers methods in this paper
...As mentioned above, the ‘immersed interface method’ (LeVeque and Li 1994, LeVeque and Li 1997, Li and Lai 2001) avoids this smearing and maintains second-order accuracy by modifying the difference equations near the interface....
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...The ‘immersed interface method’ (LeVeque and Li 1994, LeVeque and Li 1997, Li and Lai 2001) overcomes this difficulty....
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1,119 citations
883 citations
"The immersed boundary method" refers methods in this paper
...Flow past a cylinder has been studied by the IB method (Lai and Peskin 2000)....
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...The temporal discretization that we currently use (Lai and Peskin 2000, McQueen and Peskin 2001) is a second-order accurate Runge–Kutta method, based primarily on the midpoint rule....
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...The IB method results reported in Lai and Peskin (2000) are in close agreement with experiment over a range of Reynolds numbers (100–200) in which the Strouhal number varies significantly as the Reynolds number is changed....
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