Abstract
The kinetic Vlasov-Poisson model is very expensive to solve numerically. It can be approximated by a multi-water-bag model in order to reduce the complexity. This model amounts to solve a set of Burgers equations, which can be done easily by finite volume methods. However, the solution is naturally multivalued (filamentation). The multivalued solution can be computed by a moment method. We present here several numerical experiments.
MSC2010: 35Q83, 44A60, 65M08
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Crestetto, A., Helluy, P. (2011). Multi-Water-Bag Model And Method Of Moments For The Vlasov Equation. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_31
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DOI: https://doi.org/10.1007/978-3-642-20671-9_31
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