2012/05/10 by Stefano Markidis, Markidis, Stefano, Giovanni Lapenta +5
Chemistry · Engineering · Earth and Planetary Sciences · #Electrostatics and Colloid Interactions #Electrohydrodynamics and Fluid Dynamics #Geophysical and Geoelectrical Methods
paper · pdf · doi:10.48550/arxiv.1205.2217
In preparation to the exascale era, an alternative approach to calculate the\nelectrostatic forces in Particle Mesh (PM) methods is proposed. While the\ntraditional techniques are based on the calculation of the electrostatic\npotential by solving the Poisson equation, in the new approach the electric\nfield is calculated by solving the Ampere's law. When the Ampere's law is\ndiscretized explicitly in time, the electric field values on the mesh are\nsimply updated from the previous values. In this way, the electrostatic solver\nbecomes an embarrassingly parallel problem, making the algorithm extremely\nscalable and suitable for exascale computing platforms. An implementation of a\none dimensional PM code is presented to show that the proposed method produces\ncorrect results, and it is a very promising algorithm for exascale PM\nsimulations.\n