# Numerical solution of a new hydrodynamic model of flocking

Kučera, Václav; Živčáková, Andrea

- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 124-129

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topKučera, Václav, and Živčáková, Andrea. "Numerical solution of a new hydrodynamic model of flocking." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 124-129. <http://eudml.org/doc/269927>.

@inProceedings{Kučera2015,

abstract = {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.},

author = {Kučera, Václav, Živčáková, Andrea},

booktitle = {Programs and Algorithms of Numerical Mathematics},

keywords = {compressible Euler equations; nonlocal right-hand side; semi-implicit discontinuous Galerkin method},

location = {Prague},

pages = {124-129},

publisher = {Institute of Mathematics AS CR},

title = {Numerical solution of a new hydrodynamic model of flocking},

url = {http://eudml.org/doc/269927},

year = {2015},

}

TY - CLSWK

AU - Kučera, Václav

AU - Živčáková, Andrea

TI - Numerical solution of a new hydrodynamic model of flocking

T2 - Programs and Algorithms of Numerical Mathematics

PY - 2015

CY - Prague

PB - Institute of Mathematics AS CR

SP - 124

EP - 129

AB - 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.

KW - compressible Euler equations; nonlocal right-hand side; semi-implicit discontinuous Galerkin method

UR - http://eudml.org/doc/269927

ER -

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