By edited by H. Usui and Y. Omura.
It is a number of prolonged lecture notes of the tutorials given on the foreign tuition for house Simulations (ISSS)-7, March 2005, by means of the invited academics who've been actively desirous about laptop simulation thoughts in house plasma physics.
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Extra resources for Advanced methods for space simulations
1 Semi-Lagrange methods Given the above difficulties with fully Lagrangian methods semi-Lagrange schemes have been developed. Such schemes first use the fact that the most accurate way to solve convection (or advection, term vδr f ) hyperbolic PDE is to use their characteristics, along which the function value (here the distribution function) stays constant. The characteristics of the Vlasov-equation are the particle orbits in response to the selfconsistently calculated electromagnetic forces (this is also used in PIC codes).
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B¨uchner, A new conservative unsplit method for the solution of the Vlasov equation, J. Comput. , 213(2), 862–875, 2006. , Numerical solution of the Vlasov-equation: the 1D code, Comput. Phys. , 116, 329– 335, 1999. 46 J. , E. Sonnendr¨ucker, and N. Bertrand, Conservative numerical schemes for the Vlasov equation, J. Comput. , 172, 166–187, 2001. Gagn´e, R. and M. Shoucri, A splitting scheme for the numerical solution of a one-dimensional Vlasovequation, J. Comput. , 24, 445, 1977. Gary, S. , Theory of Space Plasma Microinstabilities, Cambridge University Press, Cambridge, UK, pp.