Download e-book for iPad: Advances in grid generation by Olga V. Ushakova

By Olga V. Ushakova

ISBN-10: 1594542732

ISBN-13: 9781594542732

Grid iteration bargains with using grids (meshes) within the numerical resolution of partial differential equations by means of finite components, finite quantity, finite changes and boundary components. Grid new release is utilized within the aerospace, mechanical engineering and clinical computing fields. This booklet offers new examine within the box.

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However, for the considered problem, implementation of computations on the block grid involves serious difficulties. Indeed, the number of boundary nodes inside a tongue must increase with extending the tongue extends. For this reason, the grid line that separates the blocks cannot pass through the same boundary node during the compu­ tation. This leads to the necessity of designing an algorithm for periodically changing the structure of the blocks. This algorithm involves cumbersome remap procedures between grids of different structures.

V. Ushakova of the book Handbook of Grid Generation . In chapter 1 0, the new algorithms for construction of three-dimensional optimal curvilinear grids are described. One can find there the variational continuous and discrete functionals for construction of three-dimensional optimal grids, the distinctive fea­ ture of the method which consists in a special way of formalization of such optimality criteria as a uniformity of a grid, the description of the numerical algorithms and examples of application of a method to the calculation of grids in the volumes of revolutions.

In this case, the cell size inside the protrusion is primarily determined by the distribution of nodes along the boundary lines. In problems of a different type, such as the instability of an interface between media, the protrusion is bounded by a grid line belonging to a particular family, and the disadvantage appears. This is demonstrated in Fig. 3 where a domain with a protrusion and a fragment of the grid are presented. One can easily see very large cells in the protrusion. As to the procedure recommended in [6] for eliminating this disadvantage, in which the value of a certain monitor function is specified in each cell, it was found to be inefficient, because the choice of such a monitor function for every new problem requires a substantial effort increasing with the number of grid nodes.

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Advances in grid generation by Olga V. Ushakova


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