### adaptive mesh refinement

**(AMR)**
(numerical modeling method balancing detail with tractability)

**Adaptive mesh refinement** (**AMR**) is a design feature of
numerical models handling multi-dimensional data such
as fields. Examples include qualities spread over
three dimensions such as gas density, pressure and flow,
temperature, and magnetic fields. Models can make use
of a mesh, modeling the values at mesh points, the
amount of detail depending upon the mesh density.
If more detail is needed in just some regions either
to model correctly or to provide model output, some
method may be used to use a finer mesh in just those
regions, which requires more calculation. The goal
is to provide model accuracy an precision while
keeping the amount of calculation tractable.

The method, for example, can be used for atmospheric
modeling (Earth weather prediction), design of
devices involving fluid dynamics (water pipes, rocket
engines), and astronomical phenomena including stars,
stellar magnetic fields, galaxies, and cosmological
simulations of the entire universe.

(*mathematics,models,software type,computation*)
http://en.wikipedia.org/wiki/Adaptive_mesh_refinement

**Referenced by:**

adaptive refinement tree (ART)

Castro

computational astrophysics

Enzo

numerical analysis

RAMSES

index