# 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) {
s.refine  = refine_linear;
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);