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

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.