  The compact Discontinuous Galerkin 2 (CDG2) method was successfully tested
for elliptic problems, scalar convection-diffusion equations and compressible
Navier-Stokes equations. In this paper we use the newly developed DG method to
solve a mathematical model for early stages of atherosclerotic plaque
formation. Atherosclerotic plaque is mainly formed by accumulation of
lipid-laden cells in the arterial walls which leads to a heart attack in case
the artery is occluded or a thrombus is built through a rupture of the plaque.
After describing a mathematical model and the discretization scheme, we present
some benchmark tests comparing the CDG2 method to other commonly used DG
methods. Furthermore, we take parallelization and higher order discretization
schemes into account.
