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Principles of grid generation : ウィキペディア英語版
Principles of grid generation

A grid is a small-sized geometrical shape that covers the physical domain, whose objective is to identify the discrete volumes or elements where conservation laws can be applied. Grid generation is the first process involved in computing numerical solutions to the equations that describe a physical process. The result of the solution depends upon the quality of grid. A well-constructed grid can improve the quality of solution whereas, deviations from the numerical solution can be observed with poorly constructed grid.
Techniques for creating the cell forms the basis of grid generation. Various methods to generate grids are discussed below.
==Algebraic methods ==

The grid generation by algebraic methods is done by using known functions in one, two or three dimensions taking arbitrary shaped regions. The computational domain might not be rectangular one, but for the sake of simplicity, the domain is taken to be rectangular. The simplest procedure that may be used to produce boundary fitted computational mesh is the normalization transformation.
For a nozzle, with the describing function y = x^2 the grid can easily be generated using uniform division in y-direction with equally spaced increments in x-direction, which are described by
: \xi=x \,
: \eta = \frac \,
where y_\max denotes the y-coordinate of the nozzle wall. For given values of (\xi, \eta) the values of (x, y) can be easily recovered.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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