2.4.1 Parameter of the following examples

Boundary conditions influence the properties of real world hydrodynamic flows.

Linear 1D advection: infinite domain without boundaries.

Actual implementation of boundary conditions in numerical experiments:

• Adding and filling ghost cells
• Number of ghost cells: depends on stencil
• In examples: periodic boundary conditions

Grid settings:

$$i_\mathrm{total}=200 \enspace , \enspace n_\mathrm{total}=... ... x} = 0.4 \enspace \Rightarrow \enspace \mbox{one revolution}$$ (109)

Initial condition: ``spikes'' (Gaussian, rectangle, triangle, half-ellipse), see Jiang & Shu (1996).