Biomedical Engineering Reference
In-Depth Information
As for the election of the grid system and the computation
method, it is important to consider the purpose of analysis and the
feature of low. Table 5.2 shows the general properties of a structure
grid and an unstructured grid. The structure grid, consisting of a
regular grid, has an advantage in geometry accuracy and eficiency
per grid and is suitable for high-grade calculations for fundamental
research. However, the calculation with a structured grid is limited
to relatively simple shape. The unstructured grid is at the other end,
and it is practicable calculation method for complicated shapes of
low ield.
u
3
u
4
u
(
x
,
y
)
=
f
(
u
1
,
u
2
,
u
3
,
u
4
)
u
1
u
2
Figure 5.8
Finite-element method.
Table 5.2
Feature comparison between three discretization algorithms
Structured grid
Unstructured grid
Calculation method
FDM-FVM
FVM-FEM
Geometric adaptability
Low
High
Total number of grid number
Ineficient
Eficient
Accuracy per a grid
High
Low
Calculation cost
Low
High
5.2.1 Finite-Difference Method
The irst step obtaining a numerical solution is to discretize the
geometric domain, i.e., a numerical grid must be deined. In inite-
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