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Afivo is a framework for simulations with adaptive mesh refinement (AMR) onquadtree (2D) and octree (3D) grids. The framework comes with a geometricmultigrid solver, shared-memory (OpenMP) parallelism and it supports output inSilo and VTK file formats. Afivo can be used to efficiently simulate AMRproblems with up to about $10^{8}$ unknowns on desktops, workstations or singlecompute nodes. For larger problems, existing distributed-memory frameworks arebetter suited. The framework has no built-in functionality for specific physicsapplications, so users have to implement their own numerical methods. Theincluded multigrid solver can be used to efficiently solve elliptic partialdifferential equations such as Poisson's equation. Afivo's design was keptsimple, which in combination with the shared-memory parallelism facilitatesmodification and experimentation with AMR algorithms. The framework was alreadyused to perform 3D simulations of streamer discharges, which required tens ofmillions of cells.

Afivo: a framework for quadtree/octree AMR with shared-memory parallelization and geometric multigrid methods