A Fully Mass and Volume Conservating Implementation of A
Characteristic Method for Transport problems

Chieh-Sen Huang, National Sun Yat-Sen University, Taiwan

Abstract.

The characteristics-mixed method minimizes numerical dispersion, uses
long time steps, and conserves mass locally. Since traceback regions
are approximated, their volume may be incorrect, resulting in
inaccurate concentration densities and reaction dynamics. We present
a simple scheme that conserves both mass and volume, and a
conservative implementation of boundary conditions and wells. A
space-time change of variables in the traceback routines allows the
boundary to be treated as if it were interior to the domain.