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- W2621484057 abstract "The systems of inverted Beltrami or diffusion equations in control metrics, and their modifications described in Chap. 9 , allow one to generate grids in domains and/or on surfaces in a unified manner, regardless of their dimension. In particular, these systems can be applied to produce grids in spatial blocks by means of the successive generation of grids on their curvilinear edges, faces, and volumes, using the solution at a step $$i<n$$ as the Dirichlet boundary condition for the following step $$i+1le n$$ . Thus, both the interior and the boundary grid points of a domain or surface can be calculated by the similar comprehensive solver. In the same way, there the grid properties required in practical applications, such as nonsingularity, adaptivity, vector-field alignment, and smooth block grid matching, are readily realized by the control metrics. These features are indispensable for developing comprehensive automatic grid-generating codes. This chapter reviews some numerical algorithms for grid generation based on the equations and functionals discussed in Chap. 9 ." @default.
- W2621484057 created "2017-06-15" @default.
- W2621484057 creator A5074885072 @default.
- W2621484057 date "2017-01-01" @default.
- W2621484057 modified "2023-09-26" @default.
- W2621484057 title "Numerical Implementations of Comprehensive Grid Generators" @default.
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- W2621484057 doi "https://doi.org/10.1007/978-3-319-57846-0_10" @default.
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