The approach for designing an error measure to guide an adaptive meshing algorithm proposed in Power et al. (Ocean Modell. 2006; 15:3–38) is extended to use a POD adjoint-based method, thus facilitating efficient primal and adjoint integration in time. The aim is to obtain a new mesh that can adequately resolve all the fields at all time levels, with optimal (w.r.t. the functional) efficiency. ...

Pseudo Voronoi Tessellation via Anisotropic Meshing Our tessellation technique to represent organic texture consists of three steps: (1) elliptic or rectangular particle packing; (2) anisotropic meshing by connecting the centers of the particles; and (3) Voronoi tessellation as a dual of the anisotropic mesh. Given preferred cell sizes and directionality within a geometric domain, the technique...

Dense depth maps can be estimated in a Bayesian sense from multiple calibrated still images of a rigid scene relative to a reference view [1]. This well-established probabilistic framework is extended by adaptively refining a triangular meshing procedure and by automatic cross-validation of model parameters. The adaptive refinement strategy locally adjusts the triangular meshing according to th...

Abstract. The dynamic load-sharing characteristics of aircraft face gear dual-power split transmission system (FGDPSTS) are taken as the research object. Considering factors time-varying meshing stiffness, comprehensive error, backlash, support clearance, spline torsional and model was constructed based on lumped-parameter method. loaded tooth contact analysis (LTCA) simulation method used to c...

This paper introduces Lp-Centroidal Voronoi Tessellation (LpCVT), a generalization of CVT that minimizes a higher-order moment of the coordinates on the Voronoi cells. This generalization allows for aligning the axes of the Voronoi cells with a predefined background tensor field (anisotropy). Lp-CVT is computed by a quasi-Newton optimization framework, based on closed-form derivations of the ob...

The paper addresses the problem of the 3D meshing of the complex free form Boundary Representation geometry with multiple domains. It introduces a generic graph based method of the CAD model analyses with optimal boundary recovery. A three stage approach is used: firstly, an underlying geometry is repaired to provide a conformal model without gaps and overlaps. Secondly, the model is analyzed a...

Parallel mesh generation is a relatively new research area between the boundaries of two scientific computing disciplines: computational geometry and parallel computing. In this chapter we present a survey of parallel unstructured mesh generation methods. Parallel mesh generation methods decompose the original mesh generation problem into smaller subproblems which are meshed in parallel. We org...

Solid assembly meshing has all of the same “dirty geometry” induced issues as single part meshing but also has the difficulty associated with generating a conformal mesh between solids where solid-solid interfaces are not obvious. Mesh generators usually don’t have CAD assembly constraint information to identify interfacing solids and must therefore rely on geometric proximity to deduce these i...

Metric tensors play a key role to control the generation of unstructured anisotropic meshes. In practice, the most well established error analysis enables to calculate a metric tensor on an element basis. In this paper, we propose to build a metric field directly at the nodes of the mesh for a direct use in the meshing tools. First, the unit mesh metric is defined and well justified on a node b...