Funct onal ty for Unstructured Meshes and Var ables One of the important and powerful functions in the UDM library is the management of unstructured meshes and variables. The library supports a broad range of unstructured meshes, which include meshes with fixed shapes, arbitrary polygons, and arbitrary polyhedrons. A mesh element may be a zone, or face, or edge; i.e., zone-mesh, face-mesh, and ...

We introduce a new preconditioner for elliptic PDE’s on unstructured meshes. Using a wavelet-inspired basis we compress the inverse of the matrix, allowing an effective sparse approximate inverse by solving the sparsity vs. accuracy conflict. The key issue in this compression is to use second-generation wavelets which can be adapted to the unstructured mesh, the true boundary conditions, and ev...

Abstract. We present MPAS-Seaice, a sea-ice model which uses the Model for Prediction Across Scales (MPAS) framework and spherical centroidal Voronoi tessellation (SCVT) unstructured meshes. As well as SCVT meshes, MPAS-Seaice can run on traditional quadrilateral grids used by models such CICE. The velocity solver elastic–viscous–plastic (EVP) rheology variational discretization of internal str...

In this paper we generalize a new type of compact Hermite weighted essentially nonoscillatory (HWENO) limiter for the Runge-Kutta discontinuous Galerkin (RKDG) methods, which were recently developed in [34] for structured meshes, to two dimensional unstructured triangular meshes. The main idea of this limiter is to reconstruct the new polynomial using the entire polynomials of the DG solution f...

The nite element method is being used today to model component assemblies in a wide variety of application areas, including structural mechanics, uid simulations, and others. Generating hexahedral meshes for these assemblies usually requires the use of geometry decomposition, with di erent meshing algorithms applied to di erent regions. While the primary motivation for this approach remains the...

In this paper, we discuss the vertex space domain decomposition method (VSDDM) for solving the algebraic system of equations which arise from the discretization of symmetric and positive de nite elliptic boundary value problems via nite element methods on general unstructured meshes. Our theory does not require that the subdomains are shape regular and coarse grid is nested to the ne grid. Furt...