By P.L. George
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Extra info for Automatic Mesh Generation and Finite Element Computation
The second choice induces a propagation from an initial zone, while the third produces an inflation from a given contour. It is not clear how to define an optimal strategy optimal in all geometrical cases. FIG. 1. Three types of departure zones. SECTION 15 Advancing-front type mesh generation 129 Whatever the choice, the retained items are analyzed in terms of geometrical properties with regard to the local tools available for the creation of points and elements. For example, GEORGE , the first reference in this domain, lists a certain number of patterns (see Fig.
This latter requirement is necessary if the data include some specified items other than that of the contour discretization: while a specified edge may be included in the initial front so that this additional treatment becomes useless, this is not the case for specified points, if any, which must be taken into account in this way. The above principle formally extends to three dimensions. In this case, the method consists in constructing the optimal point associated with the triangle of the current front under consideration.
Quadtree method. * (a) Analysis of the front: - Determination of the departure zone; - Analysis of this zone: * Creation of internal point(s) and internal element(s); * Update of the front. * As long as the front is not empty, return to (a). The determination of the departure zone, as well as the analysis of the front and the way in which the elements are created, can be done in several ways. The zone of departure can be chosen as: - -- I- -- FIG. 5. Octree method. e. its items, are considered in some defined order.
Automatic Mesh Generation and Finite Element Computation by P.L. George