J0206-5-2 Study on Auto-regulation Mechanism of the Circle of Willis based on Lattice Boltzmann Method

Abstract

The aim of this study is to reproduce the flow phenomena in the circle of Willis by the numerical simulation using lattice Boltzmann method and virtual flux method. We use two-dimensional symmetric model of the circle of Willis. The inlet of this model is set to basilar artery, in which uniform flow is imposed. The outlets of this model are right and left posterior cerebral arteries, right and left middle cerebral arteries, and anterior cerebral artery. This model shows that the mass flow of the inlet is equal to sum of the mass flow at the outlets, and the mass flow at the right side cerebral arteries is the same that at the left side cerebral arteries for its symmetry.