### 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 scale:
how widely spaced are the points recorded and modeled.
There may be a resolution (spacing of the mesh) that works for
much of the modeling, is not detailed enough for some particular
circumstances. AMR is the inclusion of programming
logic to move to (and possibly from) the smaller mesh scale
in just those regions and times where necessary,
based upon detecting those circumstances.
The goal is to provide model accuracy and 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 a significant representative portion of the universe.

(*mathematics,models,software type,computation*)
**Further reading:**

http://en.wikipedia.org/wiki/Adaptive_mesh_refinement

**Referenced by pages:**

adaptive refinement tree (ART)

Castro

computational astrophysics

Enzo

numerical analysis

RAMSES

Index