USING NUMERICAL SOLUTION OF NONLINEAR NAVIER-STOKES EQUATIONS FLUID MODEL FOR BLOOD VESSEL WALLS

Abstract

This article describes a mathematical model of the circulatory system for the cardiovascular system and provides a basic framework for the mathematical representation of cumulative medical parameters such as total vascular area about three-dimensional model of the flow of an incompressible viscous Newtonian fluid, blood volume, self-regulation and effects on the upper and inner heart, coupling of one-dimensional and three-dimensional models of fluid flow for modeling blood flow, Dirichlet boundary. Furthermore, in this article are research about mathematical terms, linear dependencies, differential, integral and differential equations are used which solving the 1D-3D-1D problem with different time steps in one-dimensional and three-dimensional models. Significantly, numerical algorithm of conditions for the conjugation of solutions at the junction of regions of different dimensions and 1D-3D-1D problems of model dynamics are illustrated.