2.3.5 Discretization in space: grids
In one spatial dimension one can choose between
In the following examples the grid points will be fixed (Eulerian) and equidistant.
Eulerian grid: fixed in space
Lagrangian grid: moving with the flow (makes the linear 1D advection trivial)
- Hybrid grid: moving with another speed
- No ``grid'': SPH (grid is replaced by particle positions)
- In multi-dimensions things become more complicated.
- Some advanced ``real world'' techniques
(hierarchical grids perhaps with adaptive mesh refinement)
are build upon methods with simple Eulerian grids.