Automatic Mesh Generation and Finite Element Computation by P.L. George

By P.L. George

Show description

Read or Download Automatic Mesh Generation and Finite Element Computation PDF

Best computational mathematicsematics books

Computational Nuclear Physics 2

This moment quantity of the sequence offers basically with nuclear reactions, and enhances the 1st quantity, which targeting nuclear constitution. supplying discussions of either the suitable physics in addition to the numerical equipment, the chapters codify the services of some of the prime researchers in computational nuclear physics.

Weather Prediction by Numerical Process

The belief of forecasting the elements by means of calculation was once first dreamt of by means of Lewis Fry Richardson. the 1st version of this publication, released in 1922, set out an in depth set of rules for systematic numerical climate prediction. the strategy of computing atmospheric alterations, which he mapped out in nice aspect during this e-book, is basically the strategy used this day.

Extra info for Automatic Mesh Generation and Finite Element Computation

Sample text

L 134 CHAPIER ill PL. George 134 EL . r I i I I I I i I Ii I I i R I j FIG. 6. Optimal point in three dimensions. the domain (see above discussion), if element ABCPk is positive and empty and, in addition, if the region delimited by this element and the neighboring faces of the front remains well shaped. As soon as a point verifies all these properties, it is retained. When no point is selected, we return to (a) while the size of the visited neighborhood is increased, * tetrahedron AB CPk is formed (see below discussion) and the front is updated.

In this case, r, the size defining the examined region, is increased until a point P is found which can become a member of the list and can then be retained. As soon as a point verifies all these properties, it is retained. In the case where no point is selected, we return to (a) while the size of the visited neighborhood (r in Fig. 4) is increased, * triangle ABPk is formed (see below discussion) and the front is updated. B A FIG. 4. Candidates. Advancing-front type mesh generation SECTION 16 133 Angles /1 and 2 are used to ensure that the element in creation will not cause trouble latter (Fig.

The process is iterative: a front, initialized by the collection of boundary items, is analyzed to determine a departure zone, from which one or several internal elements are created; the front is then updated and the element creation process is pursued as long as the front is not empty. The process can be summarized as follows: * Initialization of the front; fPL. George 118 CHAPIER 11 FIG. 4. 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.

Download PDF sample

Rated 4.06 of 5 – based on 37 votes