Patent ID: 8214187

Claim:
A method for evaluating fluid flows in a heterogeneous medium crossed by at least one geometric discontinuity, by means of simulation, from a hybrid grid whose generation comprises forming at least a first Corner Point Geometry (CPG) type structured grid for gridding at least a part of the heterogeneous medium and forming at least a second structured grid for gridding at least a part of said at least one geometric discontinuity, said grids comprising cells defined by vertices identified by coordinates in a reference frame referred to as a “CPG” frame, the method comprising the following stages: defining a deformation function φ by deforming at least a part of said first CPG type structured grid into a non-uniform Cartesian grid whose vertices are then identified by coordinates in a frame referred to as a “Cartesian” frame, discretizing cells of said first CPG type structured grid located around said second grid into tetrahedral cells, interpolating said deformation function φ within each tetrahedral cell so as to allow determination of the coordinates of a point in said “CPG” frame from the coordinates of this point in said “Cartesian” frame, deforming said second grid by expressing the coordinates of the vertices of said second grid in said “Cartesian” frame, by means of said deformation function φ, modifying said deformation function φ by displacement of the vertices and recursive adaptive refinement of said tetrahedra, so that said second grid deformed by said deformation function φ is Delaunay admissible and Voronoï admissible, generating in said “Cartesian” frame a hybrid grid by constructing a conformal transition grid between said Cartesian grid and said second grid deformed by said deformation function φ thus modified, deforming said hybrid grid by calculating the coordinates of vertices of said hybrid grid in the “CPG” frame, by means of the inverse of said deformation function φ thus modified.