A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle
2017 ◽
Vol 32
(4)
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Keyword(s):
AbstractThe paper introduces a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method is based on a quasi-Lagrangian formulation of the problem and handling the geometry in a time-explicit way. We prove that numerical solution satisfies a discrete analogue of the fundamental energy estimate. This stability estimate does not require a CFL time-step restriction. The method is further applied to simulation of a flow in a model of the left ventricle of a human heart, where the ventricle wall dynamics is reconstructed from a sequence of contrast enhanced Computed Tomography images.
2018 ◽
Vol 333
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pp. 55-73
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2010 ◽
2004 ◽
Vol 193
(15-16)
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pp. 1323-1366
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Keyword(s):
2000 ◽
Vol 189
(4)
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pp. 1141-1160
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2012 ◽
Vol 34
(2)
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pp. A889-A913
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2021 ◽
Vol 29
(4)
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pp. 1186-1212
2018 ◽
Vol 23
(3)
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