Generation of Computational Mesh for CFPD Simulations - Computational Fluid and Particle Dynamics in the Human Respiratory System - page 74

Fig. 4.2 ( a ) A uniform and ( b ) Non-uniform structured mesh in 2D and 3D for a simple rectangular
geometry. Note the evenly distributed grid points in the uniform mesh in contrast to the biased
concentration of cells near the wall for a non-uniform structured mesh
concepts to resolve the complex features of fluid-particle flows to be tested in a more
efficient way. A more rigorous and thorough assessment of any proposals of new
models or enhancements to the numerical algorithms can be performed instead of
specifically dealing with the many complicated aspects of grid generation prior to
implementation in a wider general application. Figure 4.2 shows the application of
a uniform and non-uniform structured mesh on a simple vertical rectangular domain
in 2D and 3D. For the uniform mesh, the spacing of each cell is essentially a single
representative value in all directions (i.e. x i = y j = z k ). Note the regular-shaped
four-nodal grids points of a rectangular element in 2D (or regular blocks in 3D).
For non-uniformly distributed grid points, the spacing of either x , y or z can
effectively take any values. The particular arrangement shown in Fig. 4.2 is usually
regarded as a “stretched” mesh where the grid points are considered biased towards
the wall boundaries.