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Rowan Cockett
20 lines
884 B
ReStructuredText
20 lines
884 B
ReStructuredText
.. _api_FiniteVolume:
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Finite Volume
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*************
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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.
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.. image:: images/finitevolrealestate.png
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:width: 400 px
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:alt: FiniteVolume
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:align: center
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.. toctree::
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:maxdepth: 2
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api_Mesh
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api_DiffOps
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api_InnerProducts
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