Parallel simulation of nanoparticles transport in high gradient magnetic field

The transport of weakly magnetic nanoparticles, dispersed in an irrotational flow of inviscid fluid, in the region of high gradient magnetic fieldis simulated by a parallel algorithm developed based on OpenMP. The high gradient magnetic field here is produced by applying the background uniform magnetic field perpendicular to axes of parallel ferromagnetic wires. The direction of incoming fluid flow is perpendicular to both wired axes and the applied magnetic field. According to the features of magnetic field and fluid flow, the particles transport is simulated on a two dimensional domain enclosing a representative wire. The continuity equation describing transport of particles on the domain is solved numerically as an initial and boundary value problem. The simulation result shows the distribution of particle concentration on the domain at various times. The performance results show the consistent speedup when increasing the number of cores upto 20-30% due to the iteration dependency and the domain size.