Open AccessMETHOD OF PARALLELIZATION OF NUMERICAL ALGORITHMOF NAVIER-STOKES EQUATIONS COMPLETE SYSTEM
Author(s) -
Р. Е. Волков,
А. Г. Обухов
Publication year - 2016
Publication title -
izvestiâ vysših učebnyh zavedenij. neftʹ i gaz
Language(s) - English
Resource type - Journals
ISSN - 0445-0108
DOI - 10.31660/0445-0108-2016-2-92-98
Subject(s) - dissipative system , navier–stokes equations , computation , compressibility , flow (mathematics) , viscosity , thermal conductivity , mechanics , mathematics , computer science , physics , thermodynamics , algorithm
The article considers the features of numerical construction of solutions of the Navier-Stokes equations full system describing a three-dimensional flow of compressible viscous heat-conducting gas under the action of gravity and Coriolis forces. It is shown that accounting of dissipative properties of viscosity and thermal conductivity of the moving continuum, even with constant coefficients of viscosity and thermal conductivity, as well as the use of explicit difference scheme calculation imposes significant restrictions on numerical experiments aimed at studying the arising complex flows of gas or liquid. First of all, it is associated with a signifi- cant complication of the system of equations, the restrictions on the value of the calculated steps in space and time, increasing the total computation time. One of the options is proposed of algorithm parallelization of numerical solution of the complete Navier - Stokes equations system in the vertical spatial coordinate. This parallelization option can significantly increase the computing performance and reduce the overall time of counting. A comparison of the results of calculation of one of options of gas flow in the upward swirling flow obtained by serial and parallel programs is presented.