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Using Gmsh as a mesh generator and post-processor for LAGAMINE Guzmán Inostroza, Carlos Felipe ; Mouton, Thibaud ; Habraken, Anne Scientific conference (2013, September 11) Detailed reference viewed: 61 (15 ULg)A Frontal Delaunay Quad Mesh Generator Using the L ∞ Norm ; ; et al in International Journal for Numerical Methods in Engineering (2013), 94(5), 494-512 Detailed reference viewed: 108 (38 ULg)Lloyd relaxation using analytical Voronoi diagram in the L_infinite norm and its application to quad optimization Mouton, Thibaud ; Béchet, Eric in Jiao, Xiangmin (Ed.) Proceedings of the 21st International Meshing Roundtable (2012) An incremental Delaunay triangulation algorithm to generate Voronoi diagrams within the L∞ norm is presented. The main qualities are the preserva- tion of the simplicity of the classical L2 version and ... [more ▼] An incremental Delaunay triangulation algorithm to generate Voronoi diagrams within the L∞ norm is presented. The main qualities are the preserva- tion of the simplicity of the classical L2 version and its its intrinsic robustness It is then coupled to the well known Lloyd algorithm for computing Centroidal Voronoi Tesselations of point sets. This algorithm is then used to generate well shaped quadri- lateral meshes. [less ▲] Detailed reference viewed: 29 (12 ULg)Conversion of a B-Rep CAD model to an implicit representation in the context of the X-FEM Mouton, Thibaud ; Béchet, Eric Conference (2011, November) This paper deals with the alternative representation of parametric CAD models in the context of the Extended Finite Element Method (X-FEM) [1]. Partition of unity methods like the X-FEM allows to embed in ... [more ▼] This paper deals with the alternative representation of parametric CAD models in the context of the Extended Finite Element Method (X-FEM) [1]. Partition of unity methods like the X-FEM allows to embed in finite element functional spaces any discontinuity. It is so theoretically possible to simulate a complete model without any of its geometrical features appearing in the mesh. Nevertheless, X-FEM was at first only used in geometrically simple application (e.g. cracks) due to the lack of method to make features of a complex CAD model to implicitly appear in the functional spaces. The geometry of the crack was originally modeled using Level Sets because of their ability to handle complex surfaces and naturally take into account changes in topology and geometry encountered with moving interfaces. Level Sets modelling has been recently extended in combination with a Constructive Solid Geometry (CSG) approach [2] but this method is still limited by the use of globally defined Level Sets. The proposed algorithm extends the Level Sets modelisation of the geometry using the Boundary Representation (B-Rep) of the object. In this case, Level Sets are only locally defined (Fig a). A sub- mesh is then obtained by cutting a primary fixed mesh (encompassing the CAD model) along with isozero of each Level Set (Fig b). Resulting sub-elements are then sorted to build a temporary topology. One of the difficulties involved is then to match the temporary topology with the original B-Rep topology (Fig c). The aim is to recover unmodified entities and detect deleted or new entities that could appear during the deformation of the object. Finally, examples of computations in linear elasticity will be shown. [less ▲] Detailed reference viewed: 20 (4 ULg)A Frontal Delaunay Quad Mesh Generator Using the L ∞ Norm ; ; et al in Proceedings of the 20th International Meshing Roundtable (2011, October) Detailed reference viewed: 54 (11 ULg) |
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