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Title: Numerical solution of a new hydrodynamic model of flocking (English)
Author: Kučera, Václav
Author: Živčáková, Andrea
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Pages: 124-129
Category: math
Summary: 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. (English)
Keyword: compressible Euler equations
Keyword: nonlocal right-hand side
Keyword: semi-implicit discontinuous Galerkin method
MSC: 65M60
MSC: 92D50
Date available: 2015-04-20T06:13:23Z
Last updated: 2015-04-20
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