Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry

GE Quan-wen

doi:10.3879/j.issn.1000-0887.2014.11.005

Volume 35 Issue 11

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GE Quan-wen. Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1218-1231. doi: 10.3879/j.issn.1000-0887.2014.11.005

Citation:

GE Quan-wen. Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1218-1231. doi: 10.3879/j.issn.1000-0887.2014.11.005

Citation:

GE Quan-wen. Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1218-1231. doi: 10.3879/j.issn.1000-0887.2014.11.005

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Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry

doi: 10.3879/j.issn.1000-0887.2014.11.005

GE Quan-wen

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

Funds: The National Natural Science Foundation of China(11172050; 11372051; 11001027)

Received Date: 2014-05-01
Rev Recd Date: 2014-09-11
Publish Date: 2014-11-18

Abstract

Abstract

A Lagrange high order cell-centered conservative scheme in cylindrical geometry was presented for gas dynamics. The high order volume weighting subcell force in cylindrical geometry and the high order area weighting subcell force in cylindrical geometry were introduced by means of the MUSCL type method to construct 2 Lagrange high order cell-centered conservative schemes in cylindrical geometry. The vertex velocities and the numerical fluxes through the cell interfaces were evaluated in a consistent manner due to an original solver located at the nodes. The volume weighting scheme satisfies the momentum conservation and energy conservation, but does not surely keep the 1D spherical symmetry. The area weighting scheme satisfies the energy conservation and preserves the 1D spherical symmetry. 2 numerical tests were conducted. The results demonstrate that the new scheme is a high order one with satisfactory validity and accuracy.

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References(21)

References

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