Chord geometry analysis mesh1/7/2024 ![]() In the online phase, executed in near real-time, this database is used to construct the solution of a new set of parameters. For parametric studies, this means constructing and running the model for given sets of parameters wisely chosen. In most reduced order approaches, an offline step is first needed in order to build the database model. By real-time we mean a computational cost drastically reduced in comparison with a classical approach. Such approaches allows to determine complex solutions in real-time. Since few years, data-based models and reduced order modeling have been particularly studied in many physics applications. The efficiency and the robustness of the proposed approach are illustrated through a few parametric examples. Geometries are then evaluated in real-time. Faithful 3D numerical charts of parametric geometries are then built using standard data-based techniques. For different parametric instances with the same topology but different geometries, the MEG-IsoQuad method allows to have the same representation: isotopological meshes holding the same connectivity where each point on a mesh has an analogous one into all other meshes. Based on the cuboid decomposition and global parameterization, a 3D quadrilateral mesh is extracted. Using aligned global parameterization, patches are re-positioned on the surface in a way to achieve low overall distortion, and alignment to principal curvature directions and sharp features. ![]() This set of cuboids perfectly replicates the input surface topology. ![]() This workflow includes an integration of a geometry-feature-aware pants-to-cuboids decomposition algorithm. The triangulated mesh is decomposed into a set of cuboids in two steps: pants decomposition and cuboid decomposition. The input is a triangulation of the solid 3D model’s boundary provided from B-Rep CAD models or scanned geometry. This paper presents an effective framework to automatically construct 3D quadrilateral meshes of complicated geometry and arbitrary topology adapted for parametric studies. ![]()
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