A Hermite-type adaptive semi-Lagrangian scheme

• Autorzy: Michel Mehrenberger , Eric Violard
• 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 D 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

Hermite operator; Vlasov equation; adaptive method; numerical simulation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 3
• Strony: 329-334

Daty

wydano

2007

Twórcy

autor

Michel Mehrenberger

• IRMA (CNRS UMR-7005), Université Louis Pasteur, 7, rue Rene Descartes, 61084 Strasbourg, France

autor

Eric Violard

• Laboratoire ICPS-LSIIT (CNRS UMR-7005), Université Louis Pasteur, Pôle API, Boulevard Sébastien Brant, 67400 Illkirch, France

Bibliografia

• Besse N. and Sonnendrucker 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.
• 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. Sonnendrucker, Eds.). Zurich: European Mathematical Society, pp.43-58.
• Campos Pinto M. and Mehrenberger M. (2005): Convergence of an adaptive scheme for the one-dimensional Vlasov-Poissonsystem. Technical Report No. RR-5519, INRIA Lorraine.
• Gutnic M., Haefele M., Paun I., Sonnendrucker E. (2004): Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications, Vol.164, No.1-3, pp.214-219.
• 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, 7th Workshop High Performance Scientific and Engineering Computing, Oo: IEEE Computer Society Press, pp.181-188.
• 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.
• 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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• Sonnendrucker E., Filbet F., Friedman A., Oudet E., Vay J. L. (2004): Vlasov simulation of beams on a moving phase-space grid.Computer Physics Communications, Vol.164, No.1-3, pp.390-395