Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Computer simulation using particles
Computer simulation using particles
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
A fast adaptive multipole algorithm in three dimensions
Journal of Computational Physics
Three-dimensional vortex methods for particle-laden flows with two-way coupling
Journal of Computational Physics
A general deterministic treatment of derivatives in particle methods
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
Journal of Computational Physics
Journal of Computational Physics
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
Abstractions and Middleware for Petascale Computing and Beyond
International Journal of Distributed Systems and Technologies
Radiative signatures of the relativistic Kelvin-Helmholtz instability
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
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We present a software framework for the transparent and portable parallelization of simulations using particle-mesh methods. Particles are used to transport physical properties and a mesh is required in order to reinitialize the distorted particle locations, ensuring the convergence of the method. Field quantities are computed on the particles using fast multipole methods or by discretizing and solving the governing equations on the mesh. This combination of meshes and particles presents a challenging set of parallelization issues. The present library addresses these issues for a wide range of applications, and it enables orders of magnitude increase in the number of computational elements employed in particle methods. We demonstrate the performance and scalability of the library on several problems, including the first-ever billion particle simulation of diffusion in real biological cell geometries.