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

Authors:
Kensuke Yokoi;Feng Xiao;Hao Liu;Kazuaki Fukasaku
Affiliations:
Computer and Information Division, RIKEN (The Institute of Physical and Chemical Research), Wako Saitama 351-0198, Japan and Department of Engineering Science and Ocean Engineering, National Taiwa ...;Department of Energy Sciences, Tokyo Institute of Technology, Yokohama 226-8502, Japan;Department of Electronics and Mechanical Engineering, Chiba University, Yayoi, Chiba 263-8522, Japan;Department of Neurosurgery, Kasukabe Central General Hospital, Kasukabe, Saitama 344-0063, Japan
Venue:
Journal of Computational Physics
Year:
2005

Citing 11
Cited 6

Tridiagonal factorization algorithm: a preconditioner for nonsymmetric system solving on vector computers

Journal of Information Processing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
A level set approach for computing solutions to incompressible two-phase flow

Journal of Computational Physics
Preconditioned multigrid methods for unsteady incompressible flows

Journal of Computational Physics
The fast construction of extension velocities in level set methods

Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)

Journal of Computational Physics
Mechanism of structure formation circular hydraulic jumps: numerical studies of strongly deformed free-surface shallow flows

Physica D
The constrained interpolation profile method for multiphase analysis

Journal of Computational Physics
Rapid and accurate computation of the distance function using grids

Journal of Computational Physics
Level Set Based Integration of Segmentation and Computational Fluid Dynamics for Flow Correction in Phase Contrast Angiography

MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II

Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations

Journal of Computational Physics
An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces

Journal of Computational Physics
A full Eulerian finite difference approach for solving fluid-structure coupling problems

Journal of Computational Physics
Using high resolution cardiac CT data to model and visualize patient-specific interactions between trabeculae and blood flow

MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing

Journal of Computational Physics
A novel multiblock immersed boundary method for large eddy simulation of complex arterial hemodynamics

Journal of Computational Physics

Quantified Score

Hi-index	31.47

Visualization

Abstract

We propose a numerical algorithm to compute flows in a complex geometry such as a blood vessel. The algorithm is based on the level set method, the fractional step method, the CIP method and the ghost fluid method in a regular Cartesian grid. The algorithm was applied to various test problems to verify the reliability of method, and numerical results show that the present method can deal with flows in complex geometries such as a bifurcation and multiple aneurysms robustly.