Novotarskyy M. Parallel asynchronous methods and means of simulating peristaltic processes

Thesis for a doctor's degree in engineering sciences, speciality: 01.05.02 - Mathematical modeling and computing methods. - National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev, 2010. Dissertation is devoted to development of mathematical models of peristaltic processes. It is considered three-dimensional transient problem as the system of equations, that consists of the Navier-Stokes equation and the continuity equation and describes viscous incompressible fluid motion. The parallel locally-asynchronous method and a multigrid method which are focused on realization in the problem-oriented software simulator constructed on the basis of model of a cellular neural network with the structure of three-dimensional level-by-level circulant graph is applied to solve the given system. Means of the formal description of parallel processes and systems are created and they are applied to the description of model a cellular neural network. Under the formal description, the computing environment is developed for complex physical processes simulations. Three-dimensional transient model of peristaltic transport processes at compensating surgery on intestinal canal is constructed. Results of researches are described.