Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

被引:0
|
作者
Fabio Nobile
Christian Vergara
机构
[1] Politecnico di Milano,MOX, Dipartimento di Matematica
[2] CSQI – MATHICSE,Dipartimento di Ingegneria dell’Informazione e Metodi Matematici
[3] École Polytechnique Fédérale de Lausanne,undefined
[4] Università di Bergamo,undefined
来源
关键词
Primary 65N30; Secondary 76D07; Fluid-structure interaction; incompressible fluids; finite elasticity; haemodynamics; partitioned algorithms; added mass effect;
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学科分类号
摘要
We consider the fluid-structure interaction problem arising in haemodynamic applications. The finite elasticity equations for the vessel are written in Lagrangian form, while the Navier-Stokes equations for the blood in Arbitrary Lagrangian Eulerian form. The resulting three fields problem (fluid/ structure/ fluid domain) is formalized via the introduction of three Lagrange multipliers and consistently discretized by p-th order backward differentiation formulae (BDFp).
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页码:443 / 467
页数:24
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