METHODS FOR PARALLELING COMPUTATIONS FOR FINITE-VOLUME NUMERICAL METHODS

Gulicheva Anastasia A.

The task of forming an adaptable computational grid in solving problems of filtration and hydrodynamics, which could adapt to various types of surfaces, taking into account the possibility of their movement, is quite difficult, especially in the case of modeling liquids. The relevance of using finite-volume methods for mathematical models of filtration and flow of non-Newtonian incompressible fluids is determined. The main aspects of the application of finite volume methods in the implementation of this type of modeling are considered. It is noted that the procedures for the formation of surface meshes in the framework of modeling physical processes are often performed using machines with a multithreaded architecture, which indicates the possibility of organizing the calculation of flows in a parallel mode. Techniques for resolving conflicts in accessing data with their corrections as a result of the flow of substance flows are considered. It is concluded that the simplification of the computational process based on finite volume methods in solving the problem of forming an adaptable computational grid by parallelizing computations is a reasonable solution. It is noted that in this case, it is important to correctly parallelize the program and provide procedures for organizing data synchronization in order to ensure the most correct calculation results.

Keywords:finite-volume modeling methods, parallel calculations, adaptable computational grid, hydrodynamic problems, fluid modeling