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| Paper: |
Multi-Moment Advection Scheme for Vlasov Simulations |
| Volume: |
459, 6th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2011) |
| Page: |
277 |
| Authors: |
Minoshima, T.; Matsumoto, Y.; Amano, T. |
| Abstract: |
We present a new numerical scheme for solving the advection equation and its application to the Vlasov simulation.
The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, and advances them on the basis of their governing equations.
We have developed one- and two-dimensional schemes and show that they provide quite accurate solutions compared to other existing schemes with the same memory usage.
The two-dimensional scheme can solve the solid body rotation problem of a gaussian profile with little numerical diffusion. This is a very important property for Vlasov simulations of magnetized plasma.
The application of the scheme to the electromagnetic Vlasov simulation of collisionless shock waves is presented as a benchmark test. |
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