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Finite volume transport schemes for Voronoi meshes

Finite volume transport schemes for Voronoi meshes

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MPAS (<strong>Voronoi</strong> mesh): Formulation (1)<br />

M07 and LR05 used first-order reconstructions<br />

Lashley and Thuburn (2002) and<br />

Skamarock and Menchaca (2010)<br />

use second and fourth-order reconstructions, e.g.<br />

The least-squares polynomial fit is constrained to pass through the cell-center value<br />

by fitting a polynomial of the <strong>for</strong>m<br />

The constant (c 0 = � 0) is adjusted such that the cell-integrated polynomial is equal<br />

to the cell-average value times the cell area.

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