caa a22 4500 475777107 CHVBK 20180406123634.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1007685827323 doi (NATIONALLICENCE)springer-10.1023/A:1007685827323 Yang Huanan Department of Mathematics, Kansas State University, 66506, Manhattan, Kansas aut A Local Extrapolation Method for Hyperbolic Conservation Laws. I. The ENO Underlying Schemes [Elektronische Daten] [Huanan Yang] In this paper, we introduce a local extrapolation method (LEM) for the essentially non-oscillatory (ENO) schemes solving nonlinear hyperbolic conservation laws. The method extrapolates the numerical flux of the underlying scheme so that it keeps conservativity. We use a minmod type limiter to avoid spurious oscillations. We propose a new balancing technique that preserves the symmetry of a symmetric wave that works well for a wide range of CFL numbers. We also introduce two artificial compression procedures to the LEM which yield sharp resolutions of contact discontinuities. Numerical examples are presented to illustrate the performance of the method. Plenum Publishing Corporation, 2000 conservation law nationallicence shock capturing schemes nationallicence extrapolation method nationallicence Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 231-264 0885-7474 15:2<231 2000 15 10915 https://doi.org/10.1023/A:1007685827323 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1007685827323 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yang Huanan Department of Mathematics, Kansas State University, 66506, Manhattan, Kansas aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 231-264 0885-7474 15:2<231 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer