Convergence of second-order schemes for isentropic gas dynamics
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- by Gui Qiang Chen and Jian-Guo Liu PDF
- Math. Comp. 61 (1993), 607-627 Request permission
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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 61 (1993), 607-627
- MSC: Primary 65M12; Secondary 65M06, 76L05, 76M20, 76N15
- DOI: https://doi.org/10.1090/S0025-5718-1993-1185239-7
- MathSciNet review: 1185239