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| Pressure Boundary Conditions for Blood Flows |
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Citation： |
Kirill P. GOSTAF,Olivier PIRONNEAU.Pressure Boundary Conditions for Blood Flows[J].Chinese Annals of Mathematics B,2015,36(5):829~842 |
| Page view： 1171
Net amount： 876 |
Authors： |
Kirill P. GOSTAF; Olivier PIRONNEAU |
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| Abstract： |
Simulations of blood flows in arteries require numerical solutions
of fluid-structure 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. |
Keywords： |
Fluid-structure interaction, Compliant walls, Finite element method,
Navier-Stokes equations, Blood flow |
Classification： |
35Q30, 74K25, 65M60, 65N12 |
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