caa a22 4500 475776968 CHVBK 20180406123633.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1023/A:1007593601466 doi (NATIONALLICENCE)springer-10.1023/A:1007593601466 Positivity-Preserving Analysis of Explicit and Implicit Lax-Friedrichs Schemes for Compressible Euler Equations [Elektronische Daten] [Hua-Zhong Tang, Kun Xu] This paper presents the positivity analysis of the explicit and implicit Lax-Friedrichs (LxF) schemes for the compressible Euler equations. The theoretical proof is closely based on the decomposition of fluid variables and their corresponding fluxes into the pseudo-particles representation. For both explicit and implicit 1st-order LxF schemes, from any initial realizable state the density and the internal energy could keep non-negative values under the CFL condition with Courant number 1. Plenum Publishing Corporation, 2000 Euler equations nationallicence Lax-Friedrichs (LxF) schemes nationallicence positivity nationallicence Tang Hua-Zhong Chinese Academy of Sciences, State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, P.O. Box 2719, 100080, Beijing, People's Republic of China aut Xu Kun Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong aut Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/1(2000-03-01), 19-28 0885-7474 15:1<19 2000 15 10915 https://doi.org/10.1023/A:1007593601466 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1007593601466 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tang Hua-Zhong Chinese Academy of Sciences, State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, P.O. Box 2719, 100080, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Xu Kun Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/1(2000-03-01), 19-28 0885-7474 15:1<19 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer