Numerical solution of a new hydrodynamic model of flocking

Kučera, 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 -