An Exact Rescaling Velocity Method for some Kinetic Flocking Models - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Numerical Analysis Année : 2016

An Exact Rescaling Velocity Method for some Kinetic Flocking Models

Résumé

In this work, we discuss kinetic descriptions of flocking models, of the so-called Cucker-Smale and Motsch-Tadmor types. These models are given by Vlasov-type equations where the interactions taken into account are only given long-range bi-particles interaction potential. We introduce a new exact rescaling velocity method, inspired by a recent work of Filbet and Rey, allowing to observe numerically the flocking behavior of the solutions to these equations, without a need of remeshing or taking a very fine grid in the velocity space. To stabilize the exact method, we also introduce a modification of the classical upwind finite volume scheme which preserves the physical properties of the solution, such as momentum conservation.
Fichier principal
Vignette du fichier
KineticFlocking_v2.pdf (2.84 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01078298 , version 1 (28-10-2014)
hal-01078298 , version 2 (29-12-2015)

Licence

Identifiants

Citer

Thomas Rey, Changhui Tan. An Exact Rescaling Velocity Method for some Kinetic Flocking Models. SIAM Journal on Numerical Analysis, 2016, 54 (2), pp.641-664. ⟨10.1137/140993430⟩. ⟨hal-01078298v2⟩
589 Consultations
107 Téléchargements

Altmetric

Partager

More