Computer modeling of complex processes using a one-dimensional approach

Abstract

The relevance of the study is determined by the need to develop efficient information technologies and software tools for modeling gas-dynamic processes in technical systems. Full-scale multidimensional models are limited by high computational costs and implementation complexity, which reduces their practical applicability. In this context, one-dimensional models provide an optimal balance between accuracy, computational efficiency, and algorithmic simplicity, and also support the development of integrated information and analytical systems with databases for storing and updating operational parameters. The aim of the study is to develop, implement, and verify a one-dimensional mathematical and computational model for thermogas-dynamic processes in flow elements of technical systems using modern numerical methods. The research focuses on constructing efficient and stable algorithms that account for key physical phenomena such as gas flow, heat and mass transfer, energy transformations, turbulence, and hydraulic losses. The object of the study is numerical modeling of gas-dynamic processes in technical systems, while the subject is methods based on a generalized one-dimensional mathematical model for their calculation and analysis. A relevant direction in Computer Science is the development of algorithmically efficient software tools for modeling gas-dynamic processes. Modern numerical methods and computational approaches enable the creation of software systems capable of accurately reproducing complex unsteady phenomena in technical systems.