The invention provides a curved surface grid generation method based on discrete grid parameterization, and belongs to the technical field of
computer aided engineering (CAE) and
computational geometry. Aiming at the problems of tedious geometric operation, parameter space fusion
distortion, insufficient grid fitness and the like in grid
subdivision of a complex curved surface formed by a plurality of sub-curved surfaces, the invention provides the following technical scheme: firstly, carrying out
triangular grid pre-
subdivision on an original curved surface, and constructing a virtual topological structure for inhibiting non-key features; the discrete grids are mapped to a low-
distortion two-dimensional parameter space by adopting least square conformal mapping (LSCM), and seamless combination of multiple sub-surface parameter domains is realized; dynamically calculating a parameter space size field, and controlling
grid density distribution; after a parameter space adaptive grid is generated through
Delaunay triangulation, grid points are accurately attached to an original geometric surface by using a dual projection correction mechanism. According to the method, complex CAD geometric operation is avoided, the
automation degree is remarkably improved, meanwhile,
physical space grid uniformity and strict fitness are guaranteed, and the method is suitable for efficient and high-precision grid generation of complex curved surfaces in the fields of
aerospace, automobiles, ships and the like.