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In simulations of partial differential equations using particle-in-cell (PIC)methods, it is often advantageous to resample the particle distributionfunction to increase simulation accuracy, reduce compute cost, and/or avoidnumerical instabilities. We introduce an algorithm for particle resamplingcalled Moment Preserving Contrained Resampling (MPCR). The general algorithmpartitions the system space into smaller subsets and is designed to conserveany number of particle and grid quantities with a high degree of accuracy (i.e.machine accuracy). The resampling scheme can be integrated into any PIC code.The advantages of MPCR, including performance, accuracy, and stability, arepresented by examining several numerical tests, including a use-case study ingyrokinetic fusion plasma simulations. The tests demonstrate that while thecomputational cost of MPCR is negligible compared to the nascent particleevolution in PIC methods, periodic particle resampling yields a significantimprovement in the accuracy and stability of the results.

Moment Preserving Constrained Resampling with Applications to Particle-in-Cell Methods