Numerical stability of partitioned approach in fluid-structure interaction for a deformable thin-walled vessel

Computational and Mathematical Methods in Medicine

Volumn 2013, Issue , 2013, Pages

  Wong, Kelvin K L ^a   Thavornpattanapong, Pongpat ^a   Cheung, Sherman C P ^a   Tu, Jiyuan ^a  

^a RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; STABILITY; THIN WALLED STRUCTURES;

CONVERGENCE OF SOLUTIONS; GEOMETRIC PROPERTIES; IMPROVE PERFORMANCE; MATHEMATICAL ANALYSIS; NUMERICAL COMPUTATIONS; NUMERICAL PERFORMANCE; PARTITIONED ALGORITHM; TIME-INTEGRATION SCHEME;

FLUID STRUCTURE INTERACTION;

ACCELERATION; ARTICLE; CHEMICAL INTERACTION; FLUID STRUCTURE INTERACTION; FLUID TRANSPORT; INTEGRATION; MATHEMATICAL ANALYSIS; STRUCTURE ANALYSIS; ALGORITHM; BIOLOGICAL MODEL; BLOOD VESSEL; COMPUTER SIMULATION; HUMAN; HYDRODYNAMICS; PHYSIOLOGY; PULSATILE FLOW; VALIDATION STUDY; YOUNG MODULUS;

ACCELERATION; ALGORITHMS; BLOOD VESSELS; COMPUTER SIMULATION; ELASTIC MODULUS; HUMANS; HYDRODYNAMICS; MODELS, CARDIOVASCULAR; PULSATILE FLOW;

EID: 84886672062     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2013/638519     Document Type: Article

References (12)

1. Hron J., Turek S., A monolithic FEM/multigrid solver for ALE formulation of fluid structure interaction with application in biomechanics. Fluid-Structure Interaction: Modelling, Simulation, Optimisation 2006 53 Berlin, Germany Springer 146 170
2. Küttler U., Wall W. A., Fixed-point fluid-structure interaction solvers with dynamic relaxation. Computational Mechanics 2008 43 1 61 72 2-s2.0-52549092699 10.1007/s00466-008-0255-5
3. Förster C., Wall W. A., Ramm E., Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 2007 196 7 1278 1293 2-s2.0-33750950297 10.1016/j.cma.2006.09.002 (Pubitemid 44734586)
4. Causin P., Gerbeau J. F., Nobile F., Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Computer Methods in Applied Mechanics and Engineering 2005 194 42-44 4506 4527 2-s2.0-23244467309 10.1016/j.cma.2004.12.005 (Pubitemid 41093701)
5. Wang W. Q., Yan Y., Strongly coupling of partitioned fluid-solid interaction solvers using reduced-order models. Applied Mathematical Modelling 2010 34 12 3817 3830 2-s2.0-77954028489 10.1016/j.apm.2010.03.022
6. Chung J., Hulbert G. M., A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- α method. Journal of Applied Mechanics 1993 60 2 371 375 10.1115/1.2900803 2-s2.0-0027610910 (Pubitemid 23679960)
7. Bathe K., The Finite Element Method 1996 Englewood Cliffs, NJ, USA Prentice-Hall
8. Wood W., Bossak M., Zienkiewicz O., An alpha modification of newmark method. International Journal of Numerical Method in Engineering 1981 15 1562
9. Strang G., Computational Science and Engineering 2007 Wellesley, Mass, USA Wellesley-Cambridge Press
10. Korteweg D., Über die Fortpflanzungsgeschwindigkeit des Schalles in elastischen Röhren. Annalen der Physik 1878 5 12 525 542 10.1002/andp.18782411206
11. Moens A., Die Pulskurve 1878 Leiden, The Netherlands Brill
12. Wylie E., Streeter V., Fluid Transients 1983 Ann Arbor, Mich, USA FEB Press