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  • This work is concerned with the numerical solution of a new hydrodynamic model describing the macroscopic dynamics of flocks of birds, due to Fornasier et al., 2011. The model consists of the compressible Euler equations with an additional non-local nonlinear source terms. Due to its nonlocality, the model is very challenging and time consuming from the computational point of view. We discretize the equations in 1D using the discontinuous Galerkin method along with a semi-implicit time discretization. Special care must be taken to treat the nonlocality in such a way as to obtain a sparse system matrix on each time level. The resulting scheme is tested and numerical results are presented.
  • This work is concerned with the numerical solution of a new hydrodynamic model describing the macroscopic dynamics of flocks of birds, due to Fornasier et al., 2011. The model consists of the compressible Euler equations with an additional non-local nonlinear source terms. Due to its nonlocality, the model is very challenging and time consuming from the computational point of view. We discretize the equations in 1D using the discontinuous Galerkin method along with a semi-implicit time discretization. Special care must be taken to treat the nonlocality in such a way as to obtain a sparse system matrix on each time level. The resulting scheme is tested and numerical results are presented. (en)
Title
  • NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS
  • NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS (en)
skos:prefLabel
  • NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS
  • NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS (en)
skos:notation
  • RIV/00216208:11320/14:10286279!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 33352
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10286279
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • semi-implicit time discretization; nonlocal source terms; discontinuous Galerkin method; Flocking dynamics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [0F356A921626]
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  • Liberec
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  • Liberec
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  • International Conference PRESENTATION of MATHEMATICS '14
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
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  • Kučera, Václav
  • Živčáková, Andrea
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Technická univerzita v Liberci
https://schema.org/isbn
  • 978-80-7494-108-5
http://localhost/t...ganizacniJednotka
  • 11320
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