Abstract: Computer-implemented systems and methods for generating a mesh and conformally connecting the mesh to an existing mesh are provided. The existing mesh is displayed via a graphical user interface (GUI) of a computer-aided design modeling system using a processing system. A polyhedral mesh is generated in an empty space adjacent to the existing mesh using the processing system. The generating of the polyhedral mesh includes (i) defining the empty space as a first surface mesh comprising triangles, quadrilaterals, polygonals, or a mixture thereof, (ii) generating a dual of the first surface mesh to form a second surface mesh, the empty space being enclosed by the second surface mesh, and (iii) filling a gap region between the first and second surface meshes with the polyhedral mesh and conformally connecting the polyhedral mesh to the existing mesh using the processing system.

Abstract: Computer-implemented systems and methods for generating a mesh and conformally connecting the mesh to an existing mesh are provided. The existing mesh is displayed via a graphical user interface (GUI) of a computer-aided design modeling system using a processing system. A polyhedral mesh is generated in an empty space adjacent to the existing mesh using the processing system. The generating of the polyhedral mesh includes (i) defining the empty space as a first surface mesh comprising triangles, quadrilaterals, polygonals, or a mixture thereof, (ii) generating a dual of the first surface mesh to form a second surface mesh, the empty space being enclosed by the second surface mesh, and (iii) filling a gap region between the first and second surface meshes with the polyhedral mesh and conformally connecting the polyhedral mesh to the existing mesh using the processing system.

Abstract: Systems and methods are provided for generating a tetrahedral mesh representation of a volumetric object. A triangular surface mesh is received that defines a volumetric region. In response to the receiving, a root box is divided into a plurality of partitions with subdivision planes separating adjacent partitions, the triangular surface mesh enclosed within the root box. The plurality of partitions are assigned to different ones of a plurality of mesh processors. A tetrahedral mesh is generated within each of the plurality of partitions. Tetrahedrals that intersect the subdivision planes separating adjacent partitions are deleted to define gap regions, and a conformal tetrahedral mesh representation of the volumetric object is generated, wherein each of the gap regions is filled with an additional tetrahedral mesh.