Premium
Automatic grid generation of complex geometries in Cartesian co‐ordinates
Author(s) -
Lin Wanlai,
Chen Ching Jen
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19981215)28:9<1303::aid-fld762>3.0.co;2-i
Subject(s) - cartesian coordinate system , diagonal , regular grid , grid , geometry , mesh generation , ordinate , analytic geometry , complex geometry , flow (mathematics) , numerical analysis , mathematics , algorithm , computer science , mathematical analysis , finite element method , engineering , structural engineering
A method of automatic grid generation for complex boundaries in Cartesian co‐ordinates is proposed in this paper. In addition to the Cartesian grid lines the diagonal segments are used for the approximations of complex geometries in Cartesian co‐ordinates. A structured Cartesian grid is employed for the sake of the numerical simplicity and the potential of automatic grid generation. The automatic grid generation is achieved by this diagonal Cartesian method and the accuracy estimations of geometry approximations are given. The approximations of a few complex geometries, such as the multibody system in porous media, lake banks, grooved channels and spheres are shown and analyzed. The proposed method is verified by the numerical solutions of a rotated cavity flow. It is shown that the diagonal Cartesian method improves both the accuracy of geometry approximations and the numerical solution of a rotated cavity flow, comparing with the traditional saw‐tooth method in which only Cartesian grid lines are utilized for geometry approximations. The stability and convergence of the proposed method is demonstrated. Finally, the application of the diagonal Cartesian method for the prediction of a grooved channel flow is presented. © 1998 John Wiley & Sons, Ltd.