mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-28 02:31:07 +08:00
Rowan Cockett
20 lines
884 B
ReStructuredText
20 lines
884 B
ReStructuredText
.. _api_FiniteVolume:
|
|
|
|
Finite Volume
|
|
*************
|
|
|
|
Any numerical implementation requires the discretization of continuous functions into discrete approximations. These approximations are typically organized in a mesh, which defines boundaries, locations, and connectivity. Of specific interest to geophysical simulations, we require that averaging, interpolation and differential operators be defined for any mesh. In SimPEG, we have implemented a staggered mimetic finite volume approach (`Hyman and Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This approach requires the definitions of variables at either cell-centers, nodes, faces, or edges as seen in the figure below.
|
|
|
|
.. image:: images/finitevolrealestate.png
|
|
:width: 400 px
|
|
:alt: FiniteVolume
|
|
:align: center
|
|
|
|
|
|
.. toctree::
|
|
:maxdepth: 2
|
|
|
|
api_Mesh
|
|
api_DiffOps
|
|
api_InnerProducts
|