A Hermite-type adaptive semi-Lagrangian scheme

• Autorzy: Mehrenberger M. , Violard E.
• 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.

Słowa kluczowe

EN

adaptive method; Vlasov equation; numerical simulation; Hermite operator

PL

metoda adaptacyjna; równanie Vlasova; symulacja numeryczna; operator hermitowski

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 3
• Strony: 329--334
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Mehrenberger M.

• IRMA (CNRS UMR-7005), Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg, France

autor

Violard E.

• 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).
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• [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.