PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

A Hermite-type adaptive semi-Lagrangian scheme

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the 2D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberger, 2004) in the case of a rotating Gaussian.
Rocznik
Strony
329--334
Opis fizyczny
Bibliogr. 10 poz., rys., wykr.
Twórcy
  • IRMA (CNRS UMR-7005), Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg, France
autor
  • Laboratoire ICPS–LSIIT (CNRS UMR-7005), Université Louis Pasteur, Pôle API, Boulevard Sébastien Brant, 67400 Illkirch, France
Bibliografia
  • [1] Besse N. and Sonnendrücker E. (2003): Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. Journal of Computational Physics, Vol. 191, No. 2, pp. 341-376.
  • [2] Campos Pinto M. and Mehrenberger M. (2005): Adaptive numerical resolution of the Vlasov equation, In: Numerical Methods for Hyperbolic and Kinetic Problems (S. Cordier, T. Goudon, M. Gutnic, E. Sonnendrücker, Eds.). Zürich: European Mathematical Society, pp. 43-58.
  • [3] Campos Pinto M. and Mehrenberger M. (2005): Convergence of an adaptive scheme for the one-dimensional Vlasov-Poisson system. Technical Report No. RR-5519, INRIA Lorraine.
  • [4] Gutnic M., Haefele M., Paun I., Sonnendrücker E. (2004): Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications, Vol. 164, No. 1-3, pp. 214-219.
  • [5] Gutnic M., Haefele M. and Latu G. (2005): A parallel Vlasov solver using a wavelet based adaptive mesh refinement. Proc. Int. Conf. Parallel Processing, ICPP'2005, 7thWorkshop High Performance Scientific and Engineering Computing, Oslo: IEEE Computer Society Press, pp. 181-188.
  • [6] Hoenen O., Mehrenberger M. and Violard E. (2004): Parallelization of an adaptive Vlasov solver, Proc. 11th European PVM/MPI Users' Group Conference, EuroPVM/MPI 2004, Berlin: Springer, pp. 430-435.
  • [7] Hoenen O. and Violard E. (2006): An efficient data structure for an adaptive Vlasov solver. Research Report RR 06-02, ICPS - LSIIT laboratory (CNRS UMR-7005).
  • [8] Hong D., Schumaker L.L. (2004); Surface compression using a space of C1 cubic splines with a hierarchical basis. Geometric Modelling Computing, Vol. 72, No. 1-2, pp. 79-92.
  • [9] Nakamura T. and Yabe T. (1999): Cubic interpolated propagation scheme for solving the hyperdimensional Vlasov-Poisson equation in phase space. Computer Physics Communications, Vol. 120, No. 2-3, pp. 122-154.
  • [10] Sonnendrücker E., Filbet F., Friedman A., Oudet E., Vay J. L. (2004): Vlasov simulation of beams on a moving phasespace grid. Computer Physics Communications, Vol. 164, No. 1-3, pp. 390-395.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0041-0034
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.