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Applied Mathematics and Mechanics

, Volume 33, Issue 10, pp 1329–1350 | Cite as

Lagrangian cell-centered conservative scheme

  • Quan-wen Ge (葛全文)Email author
Article

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.

Key words

sub-cell force Lagrange cell-centered scheme Lagrangian cell-centered conservative gas dynamics scheme piecewise constant pressure of cell 

Chinese Library Classification

O241.82 

2010 Mathematics Subject Classification

76N15 65M06 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute of Applied Physics and Computational MathematicsBeijingP. R. China

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