2010
DOI: 10.1016/j.jcp.2009.10.007
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The LS-STAG method: A new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties

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Cited by 99 publications
(90 citation statements)
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“…Note that the order of accuracy of this approximation is consistent with the order of accuracy of (4)- (5), that is to say, it is 2 for θ = 1/2 and 1 otherwise. We are interested only in the cases θ = 1/2 and θ = 1 (implicit schemes are required).…”
Section: The Time-discrete Problemsupporting
confidence: 69%
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“…Note that the order of accuracy of this approximation is consistent with the order of accuracy of (4)- (5), that is to say, it is 2 for θ = 1/2 and 1 otherwise. We are interested only in the cases θ = 1/2 and θ = 1 (implicit schemes are required).…”
Section: The Time-discrete Problemsupporting
confidence: 69%
“…As an example, in [35] the authors extrapolate the velocity and pressure from the nearest fluid nodes at the previous time step. In [5], the Navier-Stokes equations are correctly expressed in an ALE framework, but the velocity is taken as the solid velocity. It is worth to note that if the solid is deformable and has been solved together with the fluid in a coupled way (as in the original immersed boundary method [40] or in the fluid-solid approach in [46]), this velocity is physically meaningful.…”
Section: Other Fixed Grid Methodsmentioning
confidence: 99%
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