Modeling of Stability of Electrostatic and Magnetostatic Systems
Technical Report,01 Oct 2016,30 Apr 2017
US Army Research Laboratory Aberdeen Proving Ground United States
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Electromagnetic systems undergo a variety of different instabilities. A broad class of those instabilities shows up in the static or quasi-static regime. For special, highly symmetric shapes spheres or flat layers, the parameters, corresponding to the occurrence of those instabilities, can be investigated rather easily using analytical methods. Slightly postcritical regimes require much more sophisticated and cumbersome but still analytical calculations. Strongly postcritical regimes always require very heavy computer work and rather sophisticated methodologies. In this report we present a computational algorithm allowing one to address some strongly nonlinear regimes. The algorithm is based on the variational formulation of the problems under study and presented on the Rayleigh instability of a charged liquid conductor phenomenon.
- Electricity and Magnetism