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Lagrangian cell-centered conservative scheme

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Abstract

This paper presents a Lagrangian cell-centered conservative gas dynamics scheme. The piecewise constant pressures of cells arising from the current time sub-cell densities and the current time isentropic speed of sound are introduced. Multipling the initial cell density by the initial sub-cell volumes obtains the sub-cell Lagrangian masses, and dividing the masses by the current time sub-cell volumes gets the current time subcell densities. By the current time piecewise constant pressures of cells, a scheme that conserves the momentum and total energy is constructed. The vertex velocities and the numerical fluxes through the cell interfaces are computed in a consistent manner due to an original solver located at the nodes. The numerical tests are presented, which are representative for compressible flows and demonstrate the robustness and accuracy of the Lagrangian cell-centered conservative scheme.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, Beijing, 100094, P. R. China

    Quan-wen Ge  (葛全文)

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  1. Quan-wen Ge  (葛全文)
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Correspondence to Quan-wen Ge  (葛全文).

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Project supported by the National Natural Science Foundation of China (No. 11172050)

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Ge, Qw. Lagrangian cell-centered conservative scheme. Appl. Math. Mech.-Engl. Ed. 33, 1329–1350 (2012). https://doi.org/10.1007/s10483-012-1625-9

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  • DOI: https://doi.org/10.1007/s10483-012-1625-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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