ON THE ALGORITHM OF THE LARGE-PARTICLE METHOD FOR CALCULATING COMPRESSIBLE GAS FLOWS WITHIN THE NAVIER-STOKS MODEL FOR PLANE AND CYLINDRICAL GEOMETRIES
Keywords:
Large-particle method, Navier–Stokes equations, viscous gas, thermal conductivity, cylindrical coordinates, MATLABAbstract
This article is devoted to the development and description of a computational algorithm based on the coarse-grained method for solving the Navier-Stokes equations describing the flow of a viscous, heat-conducting gas. The authors consider mathematical models for planar (Cartesian) and cylindrical geometries, including the use of the Sutherland formula for calculating dynamic viscosity. The procedure for decomposing the initial system of equations into Eulerian, Lagrangian, and final stages is described, and specific finite difference schemes for approximating derivatives are presented. The work is focused on solving applied problems: modeling building ventilation and gas transport in pipelines using the MATLAB environment.
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