Grid Generation Methods by Vladimir D. Liseikin

Author:Vladimir D. Liseikin
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

In order to concentrate the grid nodes in the high-gradient zones, various expressions for P containing the derivatives with respect to of the physical quantities were considered. This approach was extended to the construction of two-dimensional adaptive grids by Dar’in and Mazhukin (1989).

The method of equidistribution and minimization of the heuristically determined error at each time step was used for calculations of nonstationary problems by Dorfi and Drury (1987), Dwyer et al. (1980), Klopfer and McRae (1981), Miller (1983), Wathen (1990), and White (1982).

Formal addition of the velocity function to (6.14), to the equations obtained from variational methods based on the minimization of grid quality functionals, or to expressions for the errors determined heuristically in terms of the spatial derivatives was analyzed by Rai and Anderson (1981), Bell et al. (1982), Harten and Hyman (1983), and Greenberg (1985).

Various physical analogies, such as those of springs (Bell and Shubin (1983), Rai and Anderson (1982)), chemical reactions (Greenberg (1985)) and concepts from continuum mechanics (Jacquotte (1987), Knupp (1995)) have also been used to construct moving adaptive grids.

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