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• W115770482 abstract "Within the particle treatment module in a PIC code the particle push algo- rithm computes the changes in the velocity and position of a particle. For these calculations with an effective order of convergence up to 2 only the current values of the electromag- netic (em) fields at the position of the particle are needed. The recent developement of high order field solver enables the additional use of higher derivates in time of the em field values to calculate the particle motion with an increased accuracy. We propose a high order relativistic particle push method which has the ability to compute the new particle values up to the order of the used field solver. The desired order of this particle method depends only on the availability of the derivates in time of the em field and can be linked with different kind of field solvers like finite difference, finite element or finite volume schemes. Based on the relativistic Lorentz equation of motion for charged particles in any em fields, we transform the equation in a way which makes it possible to get an approximately solution of desired accuracy with a taylor series expansion in time. The evaluation of all terms at one stage is not possible because of the unknown higher derivates of the Lorentz factor. With the given values of the em field the first term can be calculated and constructive on this the next derivate of the Lorentz factor. The general principle of successive evaluating can repeated as often as desired provided that all needed derivates of the em field are given. The analysis of the obtained accuracy and the determination of the effective order of convergence is performed with 3 examples. The analytic solution of the first non relativistic example is known as the Lissajou figures. In this case the magnetic field is set to zero and the particle motion is only determined by the applied electric field. The second relativistic case shows the motion of a particle only in a magnetic field and the last example of the relativistic ExB drift closures the study of convergence here." @default.
• W115770482 created "2016-06-24" @default.
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• W115770482 date "2007-01-01" @default.
• W115770482 modified "2023-10-18" @default.
• W115770482 title "A High Order Relativistic Particle Push Method for PIC Simulations" @default.
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