Open AccessMETHODS AND ALGORITHNS FOR INCREASING THE SPEED OF COMPU-TING PROCESSES FOR CALCULATING HYDRAULIC NETWORKS
Author(s) -
Elena Kitayceva
Publication year - 2019
Publication title -
stroitelʹstvo i arhitektura
Language(s) - English
Resource type - Journals
eISSN - 2500-1477
pISSN - 2308-0191
DOI - 10.29039/2308-0191-2019-7-3-55-61
Subject(s) - nonlinear system , convergence (economics) , relaxation (psychology) , computer science , dimension (graph theory) , flow (mathematics) , iterative method , mathematics , matrix (chemical analysis) , process (computing) , newton's method , topology (electrical circuits) , mathematical optimization , control theory (sociology) , algorithm , control (management) , geometry , physics , psychology , social psychology , materials science , quantum mechanics , combinatorics , artificial intelligence , pure mathematics , economics , composite material , economic growth , operating system
The article is devoted to mathematical modeling of flow distribution in hydraulic net-works. Calculations of hydraulic networks are carried out at the stage of their design and operation. The results of numerical simulation are used to control the operation of the hy-draulic network in real time. The mathematical model of the distribution of flows in the hydraulic network is a system of nonlinear equations. The nodal pressures method used to solve the system of equations numerically is the n-dimensional Newton method. To ensure stable and fast convergence of the iterative process, it is proposed to use the initial approx-imation taking into account the network topology and parameters of its objects, use the lower relaxation factor and optimize the structure of the Maxwell matrix. The algorithms presented in the paper allow one to significantly reduce the dimension of the system of nonlinear equations being solved.