caa a22 4500 475777050 CHVBK 20180406123634.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1011180613990 doi (NATIONALLICENCE)springer-10.1023/A:1011180613990 Jameson Leland Lawrence Livermore National Laboratory, University of California, P.O. Box 808, MS L-312, 94551, Livermore, California aut High Order Schemes for Resolving Waves: Number of Points per Wavelength [Elektronische Daten] [Leland Jameson] For energetic flows there are many advantages of high order schemes over low order schemes. Here we examine a previously unknown advantage. It is commonly thought that the number of points per wavelength in order to obtain a given error in a numerical approximation depends only on runtime and the order of the approximation. Using truncation error arguments and examples we will show that it is not a constant and depends also on the wavenumber. This dependence on the numerical order and wavenumber strongly favors high order schemes for use in flows which have significant energy in the high modes such at Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Plenum Publishing Corporation, 2000 high order schemes nationallicence numerical error nationallicence resolution nationallicence Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/4(2000-12-01), 417-439 0885-7474 15:4<417 2000 15 10915 https://doi.org/10.1023/A:1011180613990 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1011180613990 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Jameson Leland Lawrence Livermore National Laboratory, University of California, P.O. Box 808, MS L-312, 94551, Livermore, California aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/4(2000-12-01), 417-439 0885-7474 15:4<417 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer