Numerical Solution of a New Hydrodynamic Model of Flocking

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314914" target="_blank" >RIV/00216208:11320/15:10314914 - isvavai.cz</a>
Result on the web
<a href="http://panm17.math.cas.cz/PANM17_proceedings.pdf" target="_blank" >http://panm17.math.cas.cz/PANM17_proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Numerical Solution of a New Hydrodynamic Model of Flocking
Original language description
This work is concerned with the numerical solution of a hydrodynamic model of the macroscopic behavior of flocks of birds due to Fornasier et al., 2011. The model consists of the compressible Euler equations with an added nonlocal, nonlinear right-hand side. As noticed by the authors of the model, explicit time schemes are practically useless even on very coarse grids in 1D due to the nonlocal nature of the equations. To this end, we apply a semi-implicit discontinuous Galerkin method to solve the equations. We present a simple numerical test of the resulting scheme.
Czech name
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Czech description
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Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
PROGRAMS AND ALGORITHMS OF NUMERICAL MATHEMATICS 17
ISBN
978-80-85823-64-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
124-129
Publisher name
Matematický ústav AV ČR, v. v. i.
Place of publication
Praha
Event location
Dolní Maxov
Event date
Jun 8, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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