دانلود رایگان مقاله بهبود پالایش مش تطبیقی برای مش تطبیقی شش وجهی

Abstract

The h-refinement is a technique to achieve the mesh adaptation during a finite element simulation. Some elements are selected because the error is higher than a given threshold: they are split. This operation creates new elements where the size of the edges is divided by 2 in the zone of high error. To produce a conformal mesh, the connection between two zones with different levels of refinement must be examined. This paper proposes a solution in the case of meshes made of hexahedra. Depending on the type of interface, a set of patterns has been designed. In each pattern, the hexahedron is split into pyramids and tetrahedra. That specific splitting stops the propagation of the refinement and allows h-refinement in numerical simulations based on hexahedra with a conformal finite element method. At the end, an application to a crack analysis is shown.

6. Conclusion

In this paper, a method for the conformal mesh refinement if the initial mesh is made of hexahedra has been presented. The transition between two zones with a different level of refinement is made by a combination of pyramids and tetrahedra. A set of patterns was designed to solve any conflict about the pending nodes on the faces of the hexahedra. From the first method we presented before, we made an important improvement that minimizes the propagation of the refinement. Thanks to this new method, we can apply the mesh adaptation to every structure, whatever the type of the elements of the initial mesh.