Three-dimensional numerical simulation of flows with complex geometries in a regular Cartesian grid and its application to blood flow in cerebral artery with multiple aneurysms

Journal of Computational Physics

Volumn 202, Issue 1, 2005, Pages 1-19

  Yokoi, Kensuke ^a,b   Xiao, Feng ^c   Liu, Hao ^d   Fukasaku, Kazuaki ^e  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^d CHIBA UNIVERSITY   (Japan)

^e Kasukabe Central General Hospital   (Japan)

Author keywords

Blood flow; CIP method; Complex geometry; Ghost fluid method; Level set method; Multiple aneurysms

Indexed keywords

BLOOD; DROP BREAKUP; GEOMETRY; HEMODYNAMICS; LEVEL MEASUREMENT; NUMERICAL METHODS;

BLOOD FLOW; CARTESIAN GRID; CIP METHODS; COMPLEX GEOMETRIES; FLOW WITH COMPLEX GEOMETRY; GHOST FLUID METHOD; GRID APPLICATIONS; LEVEL SET METHOD; MULTIPLE ANEURYSM; THREE-DIMENSIONAL NUMERICAL SIMULATIONS;

BLOOD VESSELS;

EID: 8744238032     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.06.018     Document Type: Article

References (37)

1. D. Adalsteinsson J.A. Sethian The fast construction of extension velocities in level set methods J. Comput. Phys. 148 1999 2
2. T. Aoki Multi-dimensional advection of CIP (cubic-interpolated propagation) scheme CFD J. 4 1995 279
3. J.V. Byrne G. Guglielmi Endovascular treatment of intracranial aneurysms 1998 Springer Berlin
4. A.J. Chorin Numerical solution of the Navier-Stokes equations J. Math. Comput. 22 1968 745
5. S. Doi N. Harada Tridiagonal factorization algorithm: A preconditioner for nonsymmetric system solving on vector computers I. Inform. Proc. 11 1987 38
6. R. Fedkiw A non-oscillatory Eulerian approach to interface in multimaterial flows (the ghost fluid method) J. Comput. Phys. 152 1999 457
7. F.H. Harlow J.E. Welch Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface Phys. Fluid. 8 1965 2182
8. C.W. Kerber S.G. Imbesi K. Knox Flow dynamics in a lethal anterrior communicating artery aneurysm AJNR Am. J. Neuroradol. 20 1999 2000
9. J. Kim P. Moin Applications of a fractional step method to incompressible Navier-Stokes equations J. Comput. Phys. 59 1985 308
10. C. Liu X. Zheng C.H. Sung Preconditioned multigrid methods for unsteady incompressible flows J. Comput. Phys. 139 1998 35
11. H. Liu T. Yamaguchi Wave dependence of pulsatile flow in a stenosed channel ASME J. Biomech. Eng. 123 2001 88
12. R. Malladi J.A. Sethian B.C. Vemuri Evolutionary Fronts for Topology-independent Shape Modeling and Recovery Lecture Notes in Computer Science, No. 800 vol. 3 1994 Springer Berlin
13. D.A. McDonald Blood Flow in Arteries second ed. 1974 Arnold London
14. S. Osher J.A. Sethian Front propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulation J. Comput. Phys. 79 1988 12
15. S. Osher R. Fedkiw Level Set Methods and Dynamics Implicit Surface Lecture Notes in Applied Mathematical Sciences, No. 153 vol. 3 2003 Springer Berlin
16. C.S. Peskin Numerical analysis of blood flow in the heart J. Comput. Phys. 25 1977 220
17. S.E. Rogers D. Kwak Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations AIAA J. 28 2 1990 253
18. J.A. Sethian Level Set Methods and Fast Marching Methods 1999 Cambridge University Press Cambridge
19. M. Sussman P. Smereka S. Osher A level set approach for capturing solution to incompressible two-phase flow J. Comput. Phys. 114 1994 146
20. K. Sakurai T. Aoki T. Yabe A semi-Lagrangian cubic-interpolated propagation (CIP) scheme for long parcel trajectories CFD J. 10 2001 76
21. C. Taylor et al. Finite element modeling of blood flow in arteries Comput. Methods Appl. Mech. Eng. 26 1998 975
22. R. Torii et al. Numerical simulation system for blood flow in the cerebral artery using CT imaging data JSME Int. J., Ser. C 44 2001 982
23. D.J. Tritton Experiments on the flow past a circular cylinder at low Reynolds number J. Fluid Mech. 6 1959 547
24. H.A. van der Vorst Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Statist. 13 1992 631
25. M. Watanabe R. Kikinis C.F. Westin Level Set Based Integration of Segmentation and Computational Fluid Dynamics for Flow Correction in Phase Contrast Angiography Lecture Notes in Computer Science, No. 2489 vol. 405 2002 Springer Berlin
26. J.R. Womersley Method for the calculation of velocity rate of flow and viscous drag in arteries when the pressure gradient is known J. Physiol. 127 1955 553
27. T. Yabe T. Aoki A universal solver for hyperbolic-equation by cubic-polynomial interpolation. I. One-demensional solver Comput. Phys. Commun. 66 1991 219
28. T. Yabe A universal solver for hyperbolic-equation by cubic-polynomial interpolation. II. Two- and three dimensional solvers Comput. Phys. Commun. 66 1991 233
29. T. Yabe F. Xiao T. Utsumi The constrained interpolation profile method for multiphase analysis J. Comput. Phys. 169 2001 2
30. K. Yokoi F. Xiao Relationships between a roller and a dynamic pressure distribution in circular hydraulic jumps Phys. Rev. E 61 2000 R1016
31. K. Yokoi F. Xiao Mechanism of structure formation in circular hydraulic jumps: Numerical studies of strongly deformed free surface shallow flows Physica D 161 2002 202
32. K. Yokoi Numerical method for complex moving boundary problems in a Cartesian fixed grid Phys. Rev. E 65 2002 055701(R)
33. K. Yokoi Numerical method for moving solid object in flows Phys. Rev. E 67 2003 045701(R)
34. Available from: http://public.kitware.com/
35. Available from: http://www21.ocn.ne.jp/ mizno/main_e.html
36. Available from: http://www.es.que.jp/kensuke/
37. Y.R. Tsai Rapid and accurate computation of the distance function using grids J. Comput. Phys. 178 2001 175