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A scheme for automatic generation of boundary‐fitted depth‐ and depth‐gradient‐ dependent grids in arbitrary two‐dimensional regions
Author(s) -
Nielsen Per,
Skovgaard Ove
Publication year - 1990
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/fld.1650100703
Subject(s) - smoothness , grid , boundary (topology) , mesh generation , scheme (mathematics) , grid method multiplication , function (biology) , mathematics , geometry , algorithm , mathematical optimization , mathematical analysis , finite element method , engineering , structural engineering , evolutionary biology , biology
In this paper we present a scheme for the numerical generation of boundary‐fitted grids that adapt to both water depth and depth gradient. The scheme can be used in arbitrary two‐dimensional regions and is based on the application of the well‐known control function approach to generate adaptive grids. The method includes the evaluation of water depths at the grid points from a known distribution of depth points and their associated depths plus a procedure for the numerical evaluation of depth gradients. It is demonstrated that the smoothness of the grid can be enhanced by introducing a suitable filtering technique.