# src/tracer.h

# Tracer advection event

This event integrates advection equations of the form $${\partial}_{t}{f}_{i}+\mathbf{\text{u\_f}}\cdot \nabla {f}_{i}=0$$ where $\mathbf{\text{u\_f}}$ is the velocity field and ${f}_{i}$ are a list of passive tracers.

The `tracers`

list is defined elsewhere (typically by the user), the face vector field `uf`

and the timestep `dt`

are defined by a solver.

```
extern scalar * tracers;
extern face vector uf;
extern double dt;
```

On adaptive meshes, tracers need to use linear interpolation (rather than the default bilinear interpolation) to ensure conservation when refining cells.

```
#if TREE
event defaults (i = 0) {
for (scalar s in tracers) {
#if EMBED
s.refine = s.prolongation = refine_embed_linear;
#else
s.refine = refine_linear;
#endif
s.restriction = restriction_volume_average;
}
}
#endif
```

The integration is performed using the Bell-Collela-Glaz scheme.

```
#include "bcg.h"
event tracer_advection (i++,last) {
advection (tracers, uf, dt);
}
```

Diffusion can be added by overloading this hook.

`event tracer_diffusion (i++,last);`