Steven J. Owen

BMSweep: Locating Interior Nodes During Sweeping

Abstract. BMSweep is a new algorithm to determine the location of interior nodes while generating hexahedral meshes using the volume sweeping method. Volume sweeping is performed on two and one half-dimensional volumes by identifying a ‘source’ surface which is meshed with quadrilaterals. These quadrilaterals are then swept through the volume towards a ‘target’ surface generating layers of hexahedra along the way. BMSweep uses background mesh interpolation to locate interior nodes during sweeping. The interpolation method provides for quality element creation, while allowing the volume boundary to vary. The cross-section of the volume can vary along the length of the sweep, the sweep path need not be linear, and the source and target areas need not be flat. Three dimensional volumes can be swept using BMSweep after being decomposed into two and one half-dimensional subvolumes.

Parallel octree-based hexahedral mesh generation for eulerian to lagrangian conversion.

Computational simulation must often be performed on domains where materials are represented as scalar quantities or volume fractions at cell centers of an octree-based grid. Common examples include bio-medical, geotechnical or shock physics calculations where interface boundaries are represented only as discrete statistical approximations. In this work, we introduce new methods for generating Lagrangian computational meshes from Eulerian-based data. We focus specifically on shock physics problems that are relevant to ASC codes such as CTH and Alegra. New procedures for generating all-hexahedral finite element meshes from volume fraction data are introduced. A new primal-contouring approach is introduced for defining a geometric domain. New methods for refinement, node smoothing, resolving non-manifold conditions and defining geometry are also introduced as well as an extension of the algorithm to handle tetrahedral meshes. We also describe new scalable MPI-based implementations of these procedures. We describe a new software module, Sculptor, which has been developed for use as an embedded component of CTH. We also describe its interface and its use within the mesh generation code, CUBIT. Several examples are shown to illustrate the capabilities of Sculptor.