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  • In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use finite volume approach, our method is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, ie maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative from their physical fundamental, for example the cross section or depth. Our scheme can be extended to the second order accuracy. We also present numerical experiments.
  • In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use finite volume approach, our method is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, ie maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative from their physical fundamental, for example the cross section or depth. Our scheme can be extended to the second order accuracy. We also present numerical experiments. (en)
Title
  • Numerical modelling of river flow (numerical schemes for one type of nonconservative systems)
  • Numerical modelling of river flow (numerical schemes for one type of nonconservative systems) (en)
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  • Numerical modelling of river flow (numerical schemes for one type of nonconservative systems)
  • Numerical modelling of river flow (numerical schemes for one type of nonconservative systems) (en)
skos:notation
  • RIV/49777513:23520/08:43914998!RIV13-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4977751301)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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  • 383483
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  • RIV/49777513:23520/08:43914998
http://linked.open...riv/jazykVysledku
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  • central schemes; upwind schemes; finite volume scheme; river flow (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [7D6C0450308F]
http://linked.open...v/mistoKonaniAkce
  • Dolní Maxov
http://linked.open...i/riv/mistoVydani
  • Praha
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  • Programs and algorithms of numerical mathematics 14, Proceedings of seminar
http://linked.open...in/vavai/riv/obor
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  • Brandner, Marek
  • Egermaier, Jiří
  • Kopincová, Hana
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http://linked.open...ain/vavai/riv/wos
  • 000290967400003
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Institute of Mathematics, Academy of Sciences of the Czech Republic
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  • 978-80-85823-55-4
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  • 23520
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