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Finite volume transport schemes for Voronoi meshes

Finite volume transport schemes for Voronoi meshes

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Conservation of mass<br />

(conservative, flux <strong>for</strong>m)<br />

Conservation of scalar mass<br />

(conservative, flux <strong>for</strong>m)<br />

<strong>Finite</strong>-<strong>volume</strong> <strong>for</strong>mulation:<br />

Integrating in space and time<br />

over a fixed <strong>volume</strong>,<br />

use the divergence theorem<br />

where f is a dimensionless mixing ratio<br />

Consider two <strong>for</strong>mulations – (1)<br />

Scheme: approximate space-time integral of flux through cell surface

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