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The Reproducing Kernel Particle Method (RKPM) has many attractive properties that make it ideal for treating a broad class of physical problems. RKPM may be implemented in a \mesh-full" or a \mesh-free" manner and provides the ability to tune the method, via the selection of a window function and its associated dilation parameter , in order to achieve the(More)
Approved for public release; further dissemination unlimited. States Government. Neither the United States Government, nor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, make any warranty, express or implied, or assume any legal liability or responsibility for the accuracy, completeness, or(More)
The Accelerated Strategic Computing Initiative (ASCI) is focused upon advancing three-dimensional, full-physics calculations to the point where \full-system" simulation may be applied to virtual testing. The ASCI program involves Sandia, Los Alamos and Lawrence Livermore National Laboratories. At Sandia National Laboratories, ASCI applications include large(More)
This paper discusses the design and implementation of solution algorithms suitable for performing transient, incompressible viscous ow simulations on massively parallel computers. The nite element formulation for incompressible ow along with the ad-hoc modiications for explicit time integration are discussed with an emphasis on implementation aspects for(More)
The Reproducing Kernel Particle Method (RKPM) is a discretization technique for partial diierential equations that uses the method of weighted residuals to produce either \mesh-free" or \mesh-full" methods. The technique employs classical reproducing kernel theory and incorporates modiied kernels to account for inconsistencies arising from the (unavoidable)(More)
Approved for public release; distribution is unlimited. Laboratory strongly supports academic freedom and a researcher's right to publish; as an institution, however, the Laboratory does not endorse the viewpoint of a publication or guarantee its technical correctness. Actinide separation is important for fuel reprocessing in the nuclear energy industry,(More)
A two-pass surface extraction algorithm for adaptive finite element meshes is presented in the context of a visualization study for a particle impact and a turbine blade containment problem. The direct use of finite element data structures for the computation of external surfaces, surface normals, and derived physical quantities is discussed. An overview of(More)
The results presented here constitute a brief summary of an ongoing multi-year eeort to investigate hierarchicallwavelet bases for solving PDE's and establish a rigorous foundation for these methods. A new, hierarchical, wavelet-Galerkin solution strategy based upon the Donovan-Geronimo-Hardin-Massopust DGHM compactly-supported multi-wavelet is presented(More)