NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286279" target="_blank" >RIV/00216208:11320/14:10286279 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
NUMERICAL SOLUTION OF A NEW HYDRODYNAMIC MODEL OF FLOCKING DYNAMICS
Original language description
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.
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
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Conference PRESENTATION of MATHEMATICS '14
ISBN
978-80-7494-108-5
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
71-77
Publisher name
Technická univerzita v Liberci
Place of publication
Liberec
Event location
Liberec
Event date
Sep 25, 2014
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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