Noiseless Vlasov-Poisson simulations with linearly transformed particles

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• Martin Campos-Pinto (CNRS - University Paris VI)
• Friday 21 June 2013, 09:30-10:20
• MR12.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

In this talk we will present a deterministic particle-in-cell (PIC) method with linear transformations of the particles that help remove the noise traditionally observed with particle schemes. In practice it is necessary to remap the particles from time to time on a regular grid to avoid excessively deforming their shapes, therefore the method can be seen as a development of the (quasi-eulerian) FSL scheme introduced by Denavit in 1972. In theory however the method is shown to converge without remappings. Deforming the particles can thus be thought of as a way to significantly lower the remapping frequency that is needed in FSL schemes. Moreover, a robust dynamical remapping criterion will be presented that is based on the a priori error analysis. Numerical 1d1v simulations involving benchmark test cases and halo formation in an initially mismatched thermal sheet beam will be shown, that demonstrate some advantages of our Linearly-Transformed PIC (LTPIC) scheme over the classical PIC and FSL methods. The choice of appropriate charge deposition schemes will also be discussed.

This talk is part of the Conference on Mathematical Topics in Kinetic Theory series.

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