Aboria

Here we define a particle-based method as consisting of three key properties:

1. There exists a set of \(N\) particles that have positions within an hypercube of \(n\) dimensions. The boundaries of the hypercube can optionally be periodic.
2. The numerical method in question can be described in terms of non-linear operators on the \(N\) particle positions and/or variables attached to these particles.
3. These operators are defined solely by the particle positions and variables, and generally (but not always) take the form of interactions between pairs of closely spaced particles (i.e. neighbourhood interactions). There are no pre-defined connections or edges between the particles.

Aboria provides:

1. A Standard Template Library (STL) compatible particle set, with facilities for spatial search queries in \(n\) dimensions, with optional periodic boundaries
2. A Domain Specific Language (DSL) in C++ for specifying non-linear operators on the particle positions and associated variables.