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Next: 3.11.2 Introducing a tracer Up: 3.11 Gyre Advection Example Previous: 3.11 Gyre Advection Example   Contents

3.11.1 Advection and tracer transport

In general, the tracer problem we want to solve can be written

$\displaystyle \frac{\partial C}{partial t} = -U \cdot \nabla C + S$ (3.30)

where $ C$ is the tracer concentration in a model cell, $ U$ is the model three-dimensional flow field ( $ U=(u,v,w)$ ). In (3.30) $ S$ represents source, sink and tendency terms not associated with advective transport. Example of terms in $ S$ include (i) air-sea fluxes for a dissolved gas, (ii) biological grazing and growth terms (for a biogeochemical problem) or (iii) convective mixing and other sub-grid parameterizations of mixing. In this section we are primarily concerned with

  1. how to introduce the tracer term, $ C$ , into an integration
  2. the different discretized forms of the $ -U \cdot \nabla C$ term that are available


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