A modification of the CABARET scheme for numerical simulation of one-dimensional detonation flows using a one-stage irreversible model of chemical kinetics

Authors

  • A.V. Danilin Nuclear Safety Institute (IBRAE) of RAS https://orcid.org/0000-0001-7349-0600
  • A.V. Solovjev Nuclear Safety Institute (IBRAE) of RAS
  • A.M. Zaitsev Nuclear Safety Institute (IBRAE) of RAS

DOI:

https://doi.org/10.26089/NumMet.v18r101

Keywords:

one-velocity multicomponent medium, systems of hyperbolic equations, CABARET scheme, computational fluid dynamics (CFD), onservative methods, detonation, Arrhenius reaction

Abstract

An algorithm for numerical simulation of one-dimensional detonation using a one-stage irreversible model of chemical kinetics is proposed. The discretization of the convective parts of governing equations is made in accordance with the balance-characteristic CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) approach. The approximation of source terms is performed implicitly without splitting into physical processes with a regulated order of approximation. It is shown that the numerically obtained Chapman-Jouget detonation parameters are in exact agreement with the analytical solution. It is also shown that, in the case of unstable detonation, the numerical results are dependent on the order of approximation chosen for the right-hand sides of the governing equations.

Author Biographies

A.V. Danilin

Nuclear Safety Institute (IBRAE) of RAS
• Junior Researcher

A.V. Solovjev

Nuclear Safety Institute (IBRAE) of RAS
• Leading Researcher

A.M. Zaitsev

Nuclear Safety Institute (IBRAE) of RAS
• Junior Researcher

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Published

16-01-2017

How to Cite

Данилин А., Соловьев А., Зайцев А. A Modification of the CABARET Scheme for Numerical Simulation of One-Dimensional Detonation Flows Using a One-Stage Irreversible Model of Chemical Kinetics // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 1-10. doi 10.26089/NumMet.v18r101

Issue

Vol. 18 (2017): Issue 1.

Section

Section 1. Numerical methods and applications

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