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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

AnnotationIn 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.
KeywordsWENO 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)