Semi-implicit DGM applied to a model of flocking
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331095" target="_blank" >RIV/00216208:11320/16:10331095 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-3-319-39929-4_19" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-319-39929-4_19</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-39929-4_19" target="_blank" >10.1007/978-3-319-39929-4_19</a>
Alternative languages
Result language
angličtina
Original language name
Semi-implicit DGM applied to a model of flocking
Original language description
We present the numerical solution of a hydrodynamics model of flocking using a suitable modified semi-implicit discontinuous Galerkin method. The investigated model describing the dynamics of flocks of birds or other individual entities forming herds or swarms was introduced by Fornasier et al. (Physica D 240(1):21-31, 2011). The main idea of this model comes from the well known Cucker-Smale model. The resulting equations consist of the Euler equations for compressible flow with an additional non-local non-linear source term. The model is discretized by the semi-implicit discontinuous Galerkin method for the compressible Euler equations of Feistauer and Kučera (J Comput Phys 224(1):208-221, 2007). We show that with a suitable treatment of the source term we can use this method for models like the model of flocking and find a numerical solution very efficiently.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2015
ISBN
978-3-319-39927-0
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
185-193
Publisher name
Springer International Publishing
Place of publication
Neuveden
Event location
Ankara, Turecko
Event date
Sep 13, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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