Math @ Duke

Publications [#246906] of JianGuo Liu
Papers Published
 Chen, GQ; Liu, JG, Convergence of secondorder schemes for isentropic gas dynamics,
Mathematics of Computation, vol. 61 no. 204
(January, 1993),
pp. 607627, American Mathematical Society (AMS) [doi]
(last updated on 2019/06/20)
Abstract: Convergence of a secondorder shockcapturing scheme for the system of isentropic gas dynamics with L∞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. © 1993 American Mathematical Society.


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