We present an efficient and accurate algorithm for self-collision detection in deformable models. Our approach can perform discrete and continuous collision queries on triangulated meshes. We present a simple and linear time algorithm to perform the normal cone test using the unprojected 3D vertices, which reduces to a sequence point-plane classification tests. Moreover, we present a hierarchic...

In this report the foundation of a new methodology for denoting the components of nite element meshes is presented. The proposed methodology is an indexing technique that utilizes properties often met with in dealing with nite element meshes, namely that there is a coarse triangulation to which local re nement is applied (hierarchical meshes). Correspondingly, our index scheme consists of a coa...

Over the last decades, discontinuous Galerkin (DG) method has demonstrated its excellence in accurate, higher-order numerical simulations for a wide range of applications aerodynamics simulations. However, development practical, computationally accurate flow solvers industrial is still focus active research, and applicable boundary conditions fluxes are also very important parts. Based on curvi...

This work introduces “generalized meshes”, a type of meshes suited for the discretization partial differential equations in non-regular geometries. Generalized extend regular simplicial by allowing overlapping elements and more flexible adjacency relations. They can have several distinct “generalized” vertices (or edges, faces) that occupy same geometric position. These generalized facets are n...

This paper presents a hierarchical tetrahedral mesh model to represent the bone density atlas. We propose and implement an efficient and automatic method to construct hierarchical tetrahedral meshes from CT data sets of bony anatomy. The tetrahedral mesh is built based on contour tiling between CT slices. The mesh is then smoothed using an enhanced Laplacian algorithm. And we approximate bone d...

This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refined discretizations. To circumvent need generate conformal meshes, this work uses extended method (XFEM) discretize governing equations on non-conforming, embedding meshes. A flexible approach create truncated hierarch...

We present a computational inverse design framework for new class of volumetric deployable structures that have compact rest states and deploy into bending-active 3D target surfaces. Umbrella meshes consist elastic beams, rigid plates, hinge joints can be directly printed or assembled in zero-energy fabrication state. During deployment, as the beams varying heights rotate from vertical to horiz...

A weakly admissible mesh (WAM) on a continuum real-valued domain is sequence of discrete grids such that the maximum norm polynomials grid comparable to supremum domain. The asymptotic rate growth sizes and comparability constants must grow in controlled manner. In this paper, we recognize notion WAM can be generalized hierarchical subspaces not necessarily polynomial functions, analyze particu...

Nitrogen-containing phenolic contaminants (NCPCs) represent typical pollutants of industrial wastewaters. As catalytic reduction NCPCs is a useful technique and Cu an efficient metal catalyst, Cu-carboxylate frameworks (CuCF) are favorable materials. However, they in powder form, making them difficult to use; thus, this study, CuCF was grown on macroscale supports. Herein, we present facile app...