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The Preconditioning of Chemical Sources Terms in Equations with Diffusion, Convection and Chemical Kinetics

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Abstract

The reasons of singularity have been considered for finite-differences equations of multi-components hydrodynamics of chemically active gas. To prevent the equations singularity, the preconditioning method is developed. The method is adjusted for modeling of one-dimension gas mixture combustion in the case of extremely fast chemical reactions present.

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REFERENCES

  1. Cantera: One-Dimensional Flames. http://cantera.org/docs/sphinx/html/flames.html.

  2. Chemistry Simulation for More Efficient Designs. https://www.ansys.com/-/media/Ansys/corporate/resourcelibrary/brochure/chemkin-pro-brochure.pdf.

  3. G. V. Belov, Thermodynamic Modeling (Nauchniy Mir, Moscow, 2000) [in Russian].

    Google Scholar 

  4. A. S. Petrusev, “The problem of 'low concentrations' in the calculation of thermodynamic equilibrium,” High Temp. 43, 522–529 (2005).

    Article  Google Scholar 

  5. Yu. V. Lapin and M. H. Streles, Internal Flows of Gas Mixtures (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  6. http://www.csoft.ru/catalog/soft/chemical-workbench/chemical-workbench.html.

  7. A. S. Petrusev, “Numerical modeling of a laminar torch,” in Proceedings of the 51st Conference of Mosc. Phys. Tech. Inst.,2008, pp. 73–76.

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Authors and Affiliations

  1. NRC “Kurchatov Institute”, 123182, Moscow, Russia

    A. S. Petrusev

  2. SU “Moscow Institute of Physics and Technology”, 141701, Dolgoprudny, Moscow oblast, Russia

    A. S. Petrusev

Authors
  1. A. S. Petrusev
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Correspondence to A. S. Petrusev.

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Petrusev, A.S. The Preconditioning of Chemical Sources Terms in Equations with Diffusion, Convection and Chemical Kinetics. Math Models Comput Simul 11, 1052–1058 (2019). https://doi.org/10.1134/S2070048219060176

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  • DOI: https://doi.org/10.1134/S2070048219060176

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