519.63 Mathematical Modeling of Detonation Initiation in the Channel with the Profiled End Using Parallel Computations
Lopato A. I. (Institute for Computer Aided Design of the Russian Academy of Sciences)
MATHEMATICAL MODELING, DETONATION INITIATION, GAS MIXTURE, UNSTRUCTURED GRIDS, PARALLEL CALCULATIONS
doi: 10.18698/2309-3684-2023-4-1526
The work is devoted to numerical studies of detonation initiation in a gas mixture in a rectangular channel with a profiled end. Detonation is initiated as a result of the interaction of shock waves which are formed as a result of the reflection of an incident shock wave of relatively low intensity from the end of the channel. The mathematical model includes the system of gas dynamics equations supplemented by Arrhenius kinetics for a model hydrogen-oxygen mixture with tabular kinetic parameters corresponding to the operating range of pressures and temperatures of the mixture. Numerical calculations are carried out using the finite volume method. The construction of computational grids consisting of triangular cells is carried out using the free software SALOME. The numerical algorithm is parallelized by the computational domain decomposition method using the METIS library. The exchange of grid functions between computational cores is carried out using the functions of the MPI library. The problem of acceleration of the parallel algorithm realized in the code is considered in comparison with the case of the linear dependence of the number of computational cores. A number of calculations were carried out using a different number of triangular cells and a comparison of patterns of detonation initiation was carried out. The performed calculations show that the detonation initiation time is approximately the same in all computations. The main difference in detonation patterns is associated with gas flow and Physical and chemical reactions in the mixture.
Vasil’ev A.A. Cellular structures of a multifront detonation wave and initiation (review). Combust. Explos. Shock Waves, 2005, vol. 5, iss. 11, pp. 1–20.
Ivanov V.S., Frolov S.M., Zangiev A.E., Zvegintsev V.I., Shamshin I.O. Hydrogen fueled detonation ramjet:Conceptual design and test fires at Mach 1.5 and 2.0. Aerospace Science and Technology, 2021, no. 109, pp. 1–12.
Lopato A.I. Numerical simulation of shock-to-detonation transitions using one-stage and detailed chemical kinetics mechanism. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Lakhmi, C.J. (eds.) Smart Modeling for Engineering Systems, 2021, pp. 79–88.
Hirsch C. Numerical computation of internal and external flows: the fundamentals of computational fluid dynamics. Amsterdam, Elsevier, 2007, 680 p.
Schultz E., Shepherd J. Validation of detailed reaction mechanisms for detonation simulation. Caltech Explosion Dynamics Lab, 2000, no. FM99-5.
Salome. The open space integration platform for numerical simulation. https://www.salome-platform.org. Last accessed 17 June 2023.
Liou M.S., Steffen C.J.Jr. A new flux splitting scheme. Journal of Computational Physics, 1993, no. 107, pp. 23–39.
Besnard J., Malony A., Shende S., Perache M., Carribault P., Jaeger J. An MPI halo-cell implementation for zero-copy abstraction. EuroMPI 15: Proceedings of the 22nd European MPI Users’ Group Meeting, 2015, pp. 1–9.
Savin G.I., Shabanov B.M., Telegin P.N., Baranov A.V. Joint Supercomputer Center of the Russian Academy of Sciences: Present and Future. Lobachevskii Journal of Mathematics, 2019, no. 40, pp. 1853–1862.
Visit. https://https://visit-dav.github.io/visit-website. Last accessed 17 June 2023.
Utkin P.S., Lopato A.I., Vasil’ev A.A. Mechanisms of detonation initiation in multi-focusing systems. Shock Waves, 2020, vol. 30, iss. 4, pp. 741–753.
Лопато А.И. Математическое моделирование инициирования детонации в канале с профилированным торцом с использованием параллельных вычислений. Математическое моделирование и численные методы, 2023, № 4, с. 15–26
Работа выполнена в рамках госзадания ИАП РАН.
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