Discontinuous-galerkin methods for a kinetic model of self-organized dynamics

This paper deals with the numerical resolution of kinetic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. We focus on the kinetic model considered in [18, 17] where alignment is taken into account in addition of an attraction-repulsion interaction potential. We apply a discontinuous Galerkin method for the free transport and non-local drift velocity together with a spectral method for the velocity variable. Then, we analyse consistency and stability of the semi-discrete scheme. We propose several numerical experiments which provide a solid validation of the method and its underlying concepts.

• Publication year

  2017

• Venue

  Unknown venue

• Publication date

  2017-05-23

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1142/S0218202518500318arXiv 1705.08129
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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