Geodesic
Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 98-106

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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.
Keywords: WENO scheme, high order of accuracy, MPI technology, ethane pyrolysis. 
@article{SVMO_2016_18_3_a9,
     author = {R. V. Zhalnin and E. E. Peskova and O. A. Stadnichenko and V. F. Tishkin},
     title = {Using {WENO} schemes in mathematical modeling of gas mixture{\textquoteright}s dynamics by the example of ethane pyrolysis},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {98--106},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a9/}
}
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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. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 98-106. http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a9/