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Convergence of second-order schemes for isentropic gas dynamics

Authors: Gui Qiang Chen and Jian-Guo Liu
Journal: Math. Comp. 61 (1993), 607-627
MSC: Primary 65M12; Secondary 65M06, 76L05, 76M20, 76N15
MathSciNet review: 1185239
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Abstract: Convergence of a second-order shock-capturing scheme for the system of isentropic gas dynamics with $ {L^\infty }$ initial data is established by analyzing the entropy dissipation measures. This scheme is modified from the classical MUSCL scheme to treat the vacuum problem in gas fluids and to capture local entropy near shock waves. Convergence of this scheme for the piston problem is also discussed.

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Article copyright: © Copyright 1993 American Mathematical Society

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