Isogeometric fluid-structure interaction analysis with applications to arterial blood flow

被引:549
作者
Bazilevs, Y. [1 ]
Calo, V. M. [1 ]
Zhang, Y. [1 ]
Hughes, T. J. R. [1 ]
机构
[1] Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
关键词
isogeometric analysis; NURBS; fluid-structure interaction; vascular modeling; Navier-Stokes equations; elastic arterial wall; mesh movement; blood flow;
D O I
10.1007/s00466-006-0084-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A NURBS (non-uniform rational B-splines)-based isogeometric fluid-structure interaction formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for large structural displacements, is developed. This methodology, encompassing a very general class of applications, is applied to problems of arterial blood flow modeling and simulation. In addition, a set of procedures enabling the construction of analysis-suitable NURBS geometries directly from patient-specific imaging data is outlined. The approach is compared with representative benchmark problems, yielding very good results. Computation of a patient-specific abdominal aorta is also performed, giving qualitative agreement with computations by other researchers using similar models.
引用
收藏
页码:310 / 322
页数:13
相关论文
共 56 条
[21]  
Holzapfel GA., 2000, NONLINEAR SOLID MECH
[22]   LAGRANGIAN-EULERIAN FINITE-ELEMENT FORMULATION FOR INCOMPRESSIBLE VISCOUS FLOWS [J].
HUGHES, TJR ;
LIU, WK ;
ZIMMERMANN, TK .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1981, 29 (03) :329-349
[23]   Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement [J].
Hughes, TJR ;
Cottrell, JA ;
Bazilevs, Y .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (39-41) :4135-4195
[24]  
Hughes TJR, 2004, P 21 INT C THEOR APP
[25]  
Hughes TJR., 2000, FINITE ELEMENT METHO
[26]   A generalized-α method for integrating the filtered Navier-Stokes equations with a stabilized finite element method [J].
Jansen, KE ;
Whiting, CH ;
Hulbert, GM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 190 (3-4) :305-319
[27]   MESH UPDATE STRATEGIES IN PARALLEL FINITE-ELEMENT COMPUTATIONS OF FLOW PROBLEMS WITH MOVING BOUNDARIES AND INTERFACES [J].
JOHNSON, AA ;
TEZDUYAR, TE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 119 (1-2) :73-94
[28]  
Ju T, 2002, ACM T GRAPHIC, V21, P339
[29]   An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena [J].
Kuhl, E ;
Hulshoff, S ;
de Borst, R .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 57 (01) :117-142
[30]   Fluid structure interaction with large structural displacements [J].
Le Tallec, P ;
Mouro, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (24-25) :3039-3067