2011
DOI: 10.1002/fld.2670
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Simulation of self‐propelled anguilliform swimming by local domain‐free discretization method

Abstract: SUMMARY The local domain‐free discretization method is extended in this work to simulate fluid–structure interaction problems, the class of which is exemplified by the self‐propelled anguilliform swimming of deforming bodies in a fluid medium. Given the deformation of the fish body in its own reference frame, the translational and rotational motions of the body governed by Newton's Law are solved together with the surrounding flow field governed by Navier–Stokes equations. When the body is deforming and moving… Show more

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Cited by 20 publications
(22 citation statements)
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References 32 publications
(91 reference statements)
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“…In this case, the idea here is to populate the ghost fluid values at such a vertex so that term < 6 > in Equation (10) can be computed similarly to term < 5 > -that is, using the same Galerkin method outlined in (11). In all cases, term < 7 > in (10) does not need to be computed in the FIVER framework because of the phase change update (15). In the latter case, both real and ghost fluid values are defined at V j and V i , and the idea here is again to populate the ghost fluid values so that term < 6 > in Equation (10) can be computed similarly to term < 5 >.…”
Section: Extension To Viscous Flowsmentioning
confidence: 99%
“…In this case, the idea here is to populate the ghost fluid values at such a vertex so that term < 6 > in Equation (10) can be computed similarly to term < 5 > -that is, using the same Galerkin method outlined in (11). In all cases, term < 7 > in (10) does not need to be computed in the FIVER framework because of the phase change update (15). In the latter case, both real and ghost fluid values are defined at V j and V i , and the idea here is again to populate the ghost fluid values so that term < 6 > in Equation (10) can be computed similarly to term < 5 >.…”
Section: Extension To Viscous Flowsmentioning
confidence: 99%
“…The Navier–Stokes equations and are solved using the local DFD method. This method has been described and discussed in detail in , so only a brief description is given herein. In the DFD method, a partial differential equation is discretized at all mesh points inside the solution domain, but the discrete form at an interior point may involve some mesh points outside the solution domain, which serve as the role to implement the boundary condition.…”
Section: Governing Equations and Basic Numerical Methodsmentioning
confidence: 99%
“…This way is not applicable for complex domains. To make the method be more general, the local DFD was developed in . In the local DFD, the low‐order schemes are adopted for spatial discretization and also for the approximate form of solution near the wall boundary.…”
Section: Governing Equations and Basic Numerical Methodsmentioning
confidence: 99%
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