This article presents the mathematical model of the circulatory system for using numerical methods of Navier – Stokes and divergent form of fluid model for blood vessel walls. Navier-Stokes equation learning deeply in the special liquid for cardiovascular system and transforms into the Euler equation. All medical parameters such as vessel side, artery, pressure of blood, blood flow, thrombus describes with mathematical model. Linear dependence of mathematical concepts, differential, integral differential, as well as logical-dynamic equations, Navier-Stokes problems and mathematical apparatus for their practical application are given and the principle of operation of the program based on this mathematical model is used UML diagrams which consist of results of Navier-Stokes. In program given are numerical results of Navier-Stokes 2D and 3D integral and differential equations on the basic diagram U,V,W,P parameters. In mathematical terms and hydrodynamic system terms following : continuity equation, blood clots, straight-line, divergent form, velocity vectors, Navier-Stokes system of equations, monomeric liquid, pressure gauge are used.