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Peer methods for the one-dimensional shallow water equations with CWENO space discretization

  • For many practical problems an efficient solution of the one-dimensional shallow water equations (Saint-Venant equations) is important, especially when large networks of rivers, channels or pipes are considered. In order to test and develop numerical methods four test problems are formulated. These tests include the well known dam break and hydraulic jump problems and two steady state problems with varying channel bottom, channel width and friction.

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Document Type:Report
Author:Gerd Steinebach, Rüdiger Weiner
Parent Title (English):Reports / Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik
Publication year:2009
Tag:Method of lines; Peer methods; Shallow water equations; WENO-schemes
Departments, institutes and facilities:Fachbereich Elektrotechnik, Maschinenbau, Technikjournalismus
Dewey Decimal Classification (DDC):5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Entry in this database:2015/04/02