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A parallel, relativistic, three-dimensional particle-in-cell code SPACE hasbeen developed for the simulation of electromagnetic fields, relativisticparticle beams, and plasmas. In addition to the standard second-orderParticle-in-Cell (PIC) algorithm, SPACE includes efficient novel algorithms toresolve atomic physics processes such as multi-level ionization of plasmaatoms, recombination, and electron attachment to dopants in dense neutralgases. SPACE also contains a highly adaptive particle-based method, calledAdaptive Particle-in-Cloud (AP-Cloud), for solving the Vlasov-Poisson problems.It eliminates the traditional Cartesian mesh of PIC and replaces it with anadaptive octree data structure. The code's algorithms, structure, capabilities,parallelization strategy and performances have been discussed. Typical examplesof SPACE applications to accelerator science and engineering problems are alsopresented.

SPACE: 3D Parallel Solvers for Vlasov-Maxwell and Vlasov-Poisson Equations for Relativistic Plasmas with Atomic Transformations