A New Sticky Particle Method for Pressureless Gas Dynamics

@article{Chertock2007ANS,
  title={A New Sticky Particle Method for Pressureless Gas Dynamics},
  author={Alina Chertock and Alexander Kurganov and Yurii Rykov},
  journal={SIAM J. Numerical Analysis},
  year={2007},
  volume={45},
  pages={2408-2441}
}
We first present a new sticky particle method for the system of pressureless gas dynamics. The method is based on the idea of sticky particles, which seems to work perfectly well for the models with point mass concentrations and strong singularity formations. In this method, the solution is sought in the form of a linear combination of δ-functions, whose positions and coefficients represent locations, masses, and momenta of the particles, respectively. The locations of the particles are then… CONTINUE READING
11 Citations
30 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 30 references

Titeux, A relaxation scheme for the approximation of the pressureless Euler equations, Numer

  • C. Berthon, M. Breuss, M.-O
  • Methods Partial Differential Equations,
  • 2006
Highly Influential
4 Excerpts

Gravitational instability: An approximate theory for large density perturbations

  • Ya. B. Zeldovich
  • Astron. Astrophys.,
  • 1970
Highly Influential
3 Excerpts

A relaxation scheme for the approximation of the pressureless Euler equations , Numer

  • M. Breuss C. Berthon, M.-O. Titeux
  • Methods Partial Differential Equations
  • 2006

Generalized variational principles , global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

  • Yu. G. Rykov, Ya. G. Sinai
  • SIAM J . Math . Anal .
  • 2003

Similar Papers

Loading similar papers…