Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis
R. V. Zhalnin1, E. E. Peskova2, O. A. Stadnichenko3, V. F. Tishkin4
| Annotation | In this paper scheme with high order of precision is established for modeling of mixture’s laminar flow. This mixture is viscous heat-conducting gas where ethane pyrolysis reaction proceeds. Parallel computational algorithm using MPI technology is developed. To verify the scheme software is developed for calculation of reagent concentrations and gas-dynamic parameters for ethane pyrolysis in a closed reactor. Calculations are made for the gas flow in a metallic flow reactor with external heating of reaction zone. In reactor’s longitudinal section distributions of temperature, density and mass concentrations of reagents are found. |
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| Keywords | WENO scheme, high order of accuracy, MPI technology, ethane pyrolysis |
1Head of Department of Applied Mathematics, Differential Equations and Theoretical Mechanics, National Research Ogarev Mordovia State University, Saransk; zhrv@mrsu.ru
2Assistant Lecturer atDepartment of Applied Mathematics, Differential Equations and Theoretical Mechanics, National Research Ogarev Mordovia State University, Saransk; peskovaee@appmath.mrsu.ru
3 Researcher at Boreskov Institute of Catalysis, Siberian Branch of Russian Academy of Sciences, Novosibirsk State University, Novosibirsk; zasypoa@catalysis.ru
4Corresponding Member of Russian Academy of Sciences, Deputy director of Keldysh Institute of Applied Mathematics, Moscow; v.f.tishkin@mail.ru
Citation: R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, "[Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:3 (2016) 98–106 (In Russian)
