Advanced methods for space simulations by edited by H. Usui and Y. Omura.

By edited by H. Usui and Y. Omura.

It is a selection of prolonged lecture notes of the tutorials given on the foreign institution for area Simulations (ISSS)-7, March 2005, by means of the invited academics who've been actively all in favour of desktop simulation innovations in house plasma physics.

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Since space physics problems are mostly higher dimensional, most accurate schemes are necessary such as conservatively solving the Vlasov-Eq. (8). , 2001). , Zalesak, 1979). Boris and Book (1977) successfully applied an FCT scheme to the solution of the Vlasov equation in 1D1V. A finite volume discretization flux-limited transport (FLT) scheme, however, might be the solution of choice. In Elkina and B¨uchner (2006) we have utilized a finite volume discretization (FVD) using a flux limited transport (FLT) approach taking into account also the diagonal elements to enhance the accuracy.

Hence, E i, j±1/2 should be calculated as n+ 1 n− 1 E i, j±2 1 = E i, j±2 1 − 2 2 t · Ji,n j± 1 (38) 2 while the current Ji,n j± 1 should be calculated synchronously with the advancement of 2 the distribution function. Now one has to solve Eq. g. as derived in Section 3. In order to investigate the stability of a plasma system by a practically noiseless Vlasov-code one has to start the system with appropriate initial conditions. First of all, one needs initial electron and ion distribution functions.

And N. Elkina, Anomalous resistivity of current-driven isothermal plasmas due to phase space structuring, Phys. Plasmas, 13, 082304-1–082304-9, 2006b. , Vlasov simulations of ion acoustic double layers, in Computer simulation of Space Plasmas, edited by H. Matsumoto and T. Sato, Terra Scientific Publishing Company, Tokyo, Japan, pp. 279–301, 1984. Cheng, C. , The integration of the Vlasov-equation for a magnetized plasma, J. Comput. , 24, 348, 1977. Cheng, C. Z. and G. Knorr, The integration of the Vlasov-equation in configuration space, J.

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