Finite Element Analysis of Multi-Component Assemblies: CAD-Based Domain Decomposition

Gostaf, Kirill Pichon; Pironneau, Olivier; Roux, François‐Xavier

doi:10.1007/978-3-319-05789-7_90

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Discretization Of (52) With Operator Decomposition1

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Cited by 2 publications

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“…However it is not clear that an iterative solution of the full system by block decomposition (see [6,18]) is not faster than this Chorin-like decomposition. Second order decomposition should also be studied in this context (see [21,31]).…”

Section: Discretization Of (52) With Operator Decompositionmentioning

confidence: 97%

Pressure boundary conditions for blood flows

Gostaf

Pironneau

2015

Chin. Ann. Math. Ser. B

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Simulations of blood flows in arteries require numerical solutions of fluidstructure interactions involving Navier-Stokes equations coupled with large displacement visco-elasticity for the vessels.Among the various simplifications which have been proposed, the surface pressure model leads to a hierarchy of simpler models including one that involves only the pressure. The model exhibits fundamental frequencies which can be computed and compared with the pulse. Yet unconditionally stable time discretizations can be constructed by combining implicit time schemes with Galerkin-characteristic discretization of the convection terms in the Navier-Stokes equations. Such problems with prescribed pressure on the walls will be shown to be efficient and accurate as an approximation of the full fluid structure interaction problem.

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Section: Discretization Of (52) With Operator Decompositionmentioning

confidence: 97%

Pressure boundary conditions for blood flows

Gostaf

Pironneau

2015

Chin. Ann. Math. Ser. B

Self Cite

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“…Gostaf [7] described the re-use of assembly topology to define interface regions for the application of boundary conditions in multi-component assemblies. Defining contact regions using assembly constraints requires post-processing, such as imprinting, in situations where only partial contact interfaces exist.…”

Section: Related Workmentioning

confidence: 99%