Efficient 3D data transfer operators based on numerical integration

Abstract

SUMMARYThis paper deals with data transfer between two meshes as it happens in a finite element context when a remeshing has to be performed. We propose a finite-volume-based data transfer method for an efficient remeshing of three-dimensional solid mechanics problems. The originality of this transfer method stems from a linear reconstruction of the fields to be transferred on an auxiliary finite volume mesh, a fast computation of the transfer operator and the application to the complete remeshing of 3D problems. This procedure is applicable to both nodal values and discrete fields defined at quadrature points. In addition, a data transfer method using mortar elements is presented. The main improvement made to this second method comes from a fast computation of mortar elements. These two data transfer methods are compared with the simplest transfer method, which consists of a classical interpolation. After some academic examples, we present 2D forging and 3D friction stir welding applications.

3D numerical models using a fluid or a solid formulation of FSW processes with a non-cylindrical pin

“…In this case, the simple geometry of this region allows an easy generation of the new hexahedral mesh. Then, to carry on the computation over this new mesh, the data are transferred from the old mesh to the new one (for more informations about the data transfer see [24]). …”

3D numerical models of FSW processes with non-cylindrical pin

“…The data transfer method used in this paper is called the Finite Volume Transfer Method (FVTM) with linear reconstruction of the fields. In [17], this transfer method is presented in more details and the comparison with some of the remapping algorithms most commonly used in the literature brings to light the advantages of this method.…”

Incremental volumetric and Dual Kriging remapping methods

“…[7,8]), in several temporal increments. In fact, adaptive mesh refinement algorithms are commonly used to overcome problems of excessive distortion/deformation of the finite elements, which occur in different forming processes [7,9], such as forging [10,11] and sheet metal forming [12]. The adaptive mesh refinement is usually performed by one of three methods: p-adaptive (change of the interpolation degree), h-adaptive (change of the element size), r-adaptive (change of the nodes' location); or by a combination of them [8].…”