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Defect types and surveillance strategies for one-shot items

Proceedings - Annual Reliability and Maintainability Symposium

Bierbaum, Rene L.; Robertson, Alix A.

This paper will describe some of the challenges and strategies for sampling and testing of complex one-shot systems. A taxonomy for defect types will be offered that informs the nature of the testing and analysis that should be done. In addition, some options for balancing and articulating risk will be summarized for the various surveillance programs described. © 2013 IEEE.

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Defect types and surveillance strategies for one-shot items

Proceedings - Annual Reliability and Maintainability Symposium

Bierbaum, Rene L.; Robertson, Alix A.

This paper will describe some of the challenges and strategies for sampling and testing of complex one-shot systems. A taxonomy for defect types will be offered that informs the nature of the testing and analysis that should be done. In addition, some options for balancing and articulating risk will be summarized for the various surveillance programs described. © 2013 IEEE.

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Field-structured polymer composites

Macromolecular Symposia

Martin, James E.

Summary The use of multiaxial magnetic fields to create particle composites with controlled structures and properties is discussed. These field-structured composites can have greatly enhanced isotropic or anisotropic properties, and have applications to sensing, actuation, and thermal transport. In this article the synthesis of these materials is discussed, and a variety of composite structures are shown. The magnetic permeability and thermal conductivity are given as specific examples of the utility of multiaxial field structuring. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

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GOMA 6.0 - A Full-Newton Finite Element Program for Free and Moving Boundary Problems with Coupled Fluid/ Solid Momentum, Energy, Mass, and Chemical Species Transport: User’s Guide

Sackinger, Philip A.; Noble, David R.; Notz, Patrick K.; Roberts, Scott A.; Rao, Rekha R.; Chen, Ken S.; Sun, Amy C.; Hopkins, Matthew M.; Subia, Samuel R.; Hopkins, Polly L.; Moffat, Harry K.; Roach, Robert A.

Goma 6.0 is a finite element program which excels in analyses of multiphysical processes, particularly those involving the major branches of mechanics (viz. fluid/solid mechanics, energy transport and chemical species transport). Goma is based on a full-Newton-coupled algorithm which allows for simultaneous solution of the governing principles, making the code ideally suited for problems involving closely coupled bulk mechanics and interfacial phenomena. Example applications include, but are not limited to, coating and polymer processing flows, super-alloy processing, welding/soldering, electrochemical processes, and solid-network or solution film drying. This document serves as a user's guide and reference.

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Numerical Simulations of Cratering Effects in Adobe

Pena, Jeremy; Brundage, Aaron; Attaway, Stephen W.; Korbin, John P.

This paper outlines a new simplified approach to developing a material model for adobe. The approach is to fit the equation of state (EOS) using a Mie-Gruneisen (MGR) analytical model with a P-Alpha compaction law, and to fit the pressure-dependent yield surface with the Geological Yield Surface (GEO) modeled in CTH using well characterized adobe. By identifying key parameters that governed material response, this simplified modeling approach aimed to increase the understanding of the shock compaction and compression behavior of adobe. The new simplified model for adobe represented in this paper replicated the features of past experimental penetration data. At low velocities the penetration behavior of steel spheres into adobe is captured by Stokes law, where the drag coefficient is inversely proportional to the Reynolds number. Each inherently different adobe material investigated had a separate linear region with the slope equal to the inverse of the coefficient of drag multiplied by impact velocity. A transition region following the Stokes region was identified in each adobe material, where the penetration depth was constant with increasing impact velocity. This penetration depth limit was shown to be dependent upon the yield strength of the adobe and inversely proportional to the initial density. Finally, examining the sensitivity of the penetration depth to the key model parameters, the material model for adobe was adjusted to provide the best fit to the experimental penetration data. In addition, a simplified water content, or initial saturation of the adobe, was introduced as another relevant parameter to characterize the response. Using this simple material model for adobe, validated with experimental penetration data, the response of adobe targets to hypervelocity impact of a variety of projectile types can be reliably predicted.

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Hydrogen fuel-cell forklift vehicle releases in enclosed spaces

International Journal of Hydrogen Energy

Houf, W.G.; Evans, G.H.; Ekoto, Isaac W.; Merilo, E.G.; Groethe, M.A.

Sandia National Laboratories has worked with stakeholders and original equipment manufacturers (OEMs) to develop scientific data that can be used to create risk-informed hydrogen codes and standards for the safe operation of indoor hydrogen fuel-cell forklifts. An important issue is the possibility of an accident inside a warehouse or other enclosed space, where a release of hydrogen from the high-pressure gaseous storage tank could occur. For such scenarios, computational fluid dynamics (CFD) simulations have been used to model the release and dispersion of gaseous hydrogen from the vehicle and to study the behavior of the ignitable hydrogen cloud inside the warehouse or enclosure. The overpressure arising as a result of ignition and subsequent deflagration of the hydrogen cloud within the warehouse has been studied for different ignition delay times and ignition locations. Both ventilated and unventilated warehouses have been considered in the analysis. Experiments have been performed in a scaled warehouse test facility and compared with simulations to validate the results of the computational analysis. © 2013, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights.

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Radiation hardness assurance testing of microelectronic devices and integrated circuits: Test guideline for proton and heavy ion single-event effects

IEEE Transactions on Nuclear Science

Schwank, James R.; Shaneyfelt, Marty R.; Dodd, Paul E.

This document gives detailed test guidelines for single-event upset (SEU), single-event latchup (SEL), single-event burnout (SEB), and single-event gate rupture (SEGR) hardness assurance testing. It includes guidelines for both heavy-ion and proton environments. The guidelines are based on many years of testing at remote site facilities and our present understanding of the mechanisms for single-event effects. © 1963-2012 IEEE.

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In Situ Transmission Electron Microscopy Study of Electrochemical Lithiation and Delithiation Cycling of the Conversion Anode RuO 2

ACS Nano

Sullivan, John P.

Conversion-type electrodes represent a broad class of materials with a new Li+ reactivity concept. Of these materials, RuO2 can be considered a model material due to its metallic-like conductivity and its high theoretical capacity of 806 mAh/g. In this study, we use in situ transmission electron microscopy to study the reaction between single-crystal RuO2 nanowires and Li+. We show that a large volume expansion of 95% occurs after lithiation, 26% of which is irreversible after delithiation. Significant surface roughening and lithium embrittlement are also present. Furthermore, we show that the initial reaction from crystalline RuO2 to the fully lithiated mixed phase of Ru/Li2O is not fully reversible, passing through an intermediate phase of LixRuO2. In subsequent cycles, the phase transitions are between amorphous RuO2 in the delithiated state and a nanostructured network of Ru/Li2O in the fully lithiated phase.

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The future of memory

IEEE Aerospace Conference Proceedings

Marinella, Matthew

In the not too distant future, the traditional memory and storage hierarchy of may be replaced by a single Storage Class Memory (SCM) device integrated on or near the logic processor. Traditional magnetic hard drives, NAND flash, DRAM, and higher level caches (L2 and up) will be replaced with a single high performance memory device. The Storage Class Memory paradigm will require high speed (1012), nonvolatility (retention >10 years), and low switching energies (< 10 pJ per switch). The International Technology Roadmap for Semiconductors (ITRS) has recently evaluated several potential candidates SCM technologies, including Resistive (or Redox) RAM, Spin Torque Transfer RAM (STT-MRAM), and phase change memory (PCM). All of these devices show potential well beyond that of current flash technologies and research efforts are underway to improve the endurance, write speeds, and scalabilities to be on-par with DRAM. This progress has interesting implications for space electronics: each of these emerging device technologies show excellent resistance to the types of radiation typically found in space applications. Commercially developed, high density storage class memory-based systems may include a memory that is physically radiation hard, and suitable for space applications without major shielding efforts. This paper reviews the Storage Class Memory concept, emerging memory devices, and possible applicability to radiation hardened electronics for space. © 2013 IEEE.

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The future of memory

IEEE Aerospace Conference Proceedings

Marinella, Matthew

In the not too distant future, the traditional memory and storage hierarchy of may be replaced by a single Storage Class Memory (SCM) device integrated on or near the logic processor. Traditional magnetic hard drives, NAND flash, DRAM, and higher level caches (L2 and up) will be replaced with a single high performance memory device. The Storage Class Memory paradigm will require high speed (1012), nonvolatility (retention >10 years), and low switching energies (< 10 pJ per switch). The International Technology Roadmap for Semiconductors (ITRS) has recently evaluated several potential candidates SCM technologies, including Resistive (or Redox) RAM, Spin Torque Transfer RAM (STT-MRAM), and phase change memory (PCM). All of these devices show potential well beyond that of current flash technologies and research efforts are underway to improve the endurance, write speeds, and scalabilities to be on-par with DRAM. This progress has interesting implications for space electronics: each of these emerging device technologies show excellent resistance to the types of radiation typically found in space applications. Commercially developed, high density storage class memory-based systems may include a memory that is physically radiation hard, and suitable for space applications without major shielding efforts. This paper reviews the Storage Class Memory concept, emerging memory devices, and possible applicability to radiation hardened electronics for space. © 2013 IEEE.

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Drop-size distributions and spatial distributions in an annular centrifugal contactor

AIChE Journal

Wyatt, Nicholas B.; O'Hern, Timothy J.; Shelden, Bion

Annular centrifugal contactors were developed as single, compact units utilized to transfer desired species between immiscible fluid phases. Critical to understanding the mass-transfer characteristics in the annular mixing region is a clear picture of the distribution of droplet sizes of the fluids involved. To date, very little experimental data appears in the literature. We fill that void by using laser fluorescence and optical methods to directly observe and measure drop-size distributions for a silicone oil/water system in a centrifugal contactor. The shape and characteristics of the log-normal distributions, including the Sauter mean diameter and distribution means, are elucidated in terms of rotor speed and organic phase fraction. The size distribution of entrained air bubbles is also examined. The results presented here will be invaluable in validating and expanding the predictive capacity of the many models that have been developed to describe the flow within these devices. © 2013 American Institute of Chemical Engineers (AIChE).

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The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows

Journal of Computational Physics

Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David

The Gauss-Newton with approximated tensors (GNAT) method is a nonlinear model-reduction method that operates on fully discretized computational models. It achieves dimension reduction by a Petrov-Galerkin projection associated with residual minimization; it delivers computational efficiency by a hyper-reduction procedure based on the 'gappy POD' technique. Originally presented in Ref. [1], where it was applied to implicit nonlinear structural-dynamics models, this method is further developed here and applied to the solution of a benchmark turbulent viscous flow problem. To begin, this paper develops global state-space error bounds that justify the method's design and highlight its advantages in terms of minimizing components of these error bounds. Next, the paper introduces a 'sample mesh' concept that enables a distributed, computationally efficient implementation of the GNAT method in finite-volume-based computational-fluid-dynamics (CFD) codes. The suitability of GNAT for parameterized problems is highlighted with the solution of an academic problem featuring moving discontinuities. Finally, the capability of this method to reduce by orders of magnitude the core-hours required for large-scale CFD computations, while preserving accuracy, is demonstrated with the simulation of turbulent flow over the Ahmed body. For an instance of this benchmark problem with over 17 million degrees of freedom, GNAT outperforms several other nonlinear model-reduction methods, reduces the required computational resources by more than two orders of magnitude, and delivers a solution that differs by less than 1% from its high-dimensional counterpart. © 2013 Elsevier Inc.

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Molecular dynamics simulations of rate-dependent grain growth during the surface indentation of nanocrystalline nickel

Materials Science and Engineering: A

Tucker, Garritt J.; Foiles, Stephen M.

Molecular dynamics simulations are leveraged in this study to explore rate-dependent grain growth and deformation in nanocrystalline nickel due to surface indentation at room temperature. A 50. nm thin film with approximately 700 grains is indented with a 15. nm spherical indenter at rates of 0.2. m/s, 1.0. m/s, and 5.0. m/s. We simulate the indentation, hold, and removal of the indenter, as well as compute grain growth and distribution profiles during microstructure deformation. Novel algorithms are also developed in this work to accurately distinguish individual grains and provide quantitative data for the evolution of the microstructure. Results of the simulations show that lattice deformation mechanisms, such as dislocation slip and twinning, that accompany grain growth are also functions of indentation rate and equilibration time. This work shows that grain growth in this nanocrystalline nickel structure is indeed rate-dependent, and is most prominent for grains near the indentation surface during both the hold and removal of the indenter. © 2013 Elsevier B.V.

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Experimental study of electrostatic aerosol filtration at moderate filter face velocity

Aerosol Science and Technology

Sanchez, Andres L.; Hubbard, Joshua A.; Dellinger, Jennifer; Servantes, Brandon L.

Aerosol collection efficiency was studied for electrostatically charged fibrous filters (3M Filtrete™, BMF-20F). In this study, collection efficiencies at moderate filter face velocities (0.5-2.5 m/s) representative of some high volume sampling applications was characterized. Experimental data and analytical theories of filter performance are less common in this flow regime since the viscous flow field assumption may not be representative of actual flow through the filter mat. Additionally, electrostatic fiber charge density is difficult to quantify, and measurements of aerosol collection efficiency are often used to calculate this fundamental parameter. The purpose of this study was to assess the relative influence of diffusion, inertial impaction, interception, and electrostatic filtration on overall filter performance. The effects of fiber charge density were quantified by comparing efficiency data for charged and uncharged filter media, where an isopropanol bath was used to eliminate electrostatic charge. The effects of particle charge were also quantified by test aerosols brought into the equilibrium Boltzmann charge distribution, and then using an electrostatic precipitator to separate out only those test particles with a charge of zero. Electrostatically charged filter media had collection efficiencies as high as 70-85% at 30 nm. Filter performance was reduced significantly (40-50% collection efficiency) when the electrostatic filtration component was eliminated. Experiments performed with zero charged NaCl particles showed that a significant increase in filter performance is attributable to an induction effect, where electrostatic fiber charge polarizes aerosol particles without charge. As filter face velocity increased the electrostatic filtration efficiency decreased since aerosol particles had less time to drift toward electrostatically charged fibers. Finally, experimental data at 0.5 m/s were compared to theoretical predictions and good agreement was found for both electrostatic and nonelectrostatic effects. © 2013 American Association for Aerosol Research.

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Quick Start User’s Guide for the PATH/AWARE Decision Support System

Knowlton, Robert G.; Tucker, Mark D.; Franco, David O.; Yang, Lynn I.

The Prioritization Analysis Tool for All-Hazards/Analyzer for Wide Area Restoration Effectiveness (PATH/AWARE) software system, developed by Sandia National Laboratories, is a comprehensive decision support tool designed to analyze situational awareness, as well as response and recovery actions, following a wide-area release of chemical, biological or radiological materials. The system provides capability to prioritize critical infrastructure assets and services for restoration. It also provides a capability to assess resource needs (e.g., number of sampling teams, laboratory capacity, decontamination units, etc.), timelines for consequence management activities, and costs. PATH/AWARE is a very comprehensive tool set with a considerable amount of database information managed through a Microsoft SQL (Structured Query Language) database engine, a Geographical Information System (GIS) engine that provides comprehensive mapping capabilities, as well as comprehensive decision logic to carry out the functional aspects of the tool set. This document covers the basic installation and operation of the PATH/AWARE tool in order to give the user enough information to start using the tool. A companion user's manual is under development with greater specificity of the PATH/AWARE functionality.

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K-α emission spectroscopic analysis from a Cu Z-pinch

High Energy Density Physics

Jones, Brent M.; Ampleford, David J.; Hansen, Stephanie B.

Advances in diagnostic techniques at the Sandia Z-facility have facilitated the production of very detailed spectral data. In particular, data from the copper nested wire-array shot Z1975 provides a wealth of information about the implosion dynamics and ionization history of the pinch. Besides the dominant valence K- and L-shell lines in Z1975 spectra, K-α lines from various ionization stages were also observed. K-shell vacancies can be created from inner-shell excitation and ionization by hot electrons and from photo-ionization by high-energy photons; these vacancies are subsequently filled by Auger decay or resonance fluorescence. The latter process produces the K-α emission. For plasmas in collisional equilibrium, K-α emission usually occurs from highly charged ions due to the high electron temperatures required for appreciable excitation of the K-α transitions. Our simulation of Z1975 was carried out with the NRL 1-D DZAPP non-LTE radiation-hydrodynamics model, and the resulting K- and L-shell synthetic spectra are compared with measured radiation data. Our investigation will focus on K-α generation by both impacting electrons and photons. Synthetic K-α spectra will be generated either by self-consistently calculating the K-shell vacancy production in a full Z-pinch simulation, or by post-processing data from a simulation. The analysis of these K-α lines as well as K- and L-shell emission from valence electrons should provide quantitative information about the dynamics of the pinch plasma.

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Diagnosing suprathermal ion populations in Z-pinch plasmas using fusion neutron spectra

Physics of Plasmas

Knapp, P.F.; Sinars, Daniel; Hahn, Kelly

The existence of suprathermal ion populations gives rise to significant broadening of and modifications to the fusion neutron spectrum. We show that when this population takes the form of a power-law at high energies, specific changes occur to the spectrum which are diagnosable. In particular, the usual Gaussian spectral shape produced by a thermal plasma is replaced by a Lorentz-like spectrum with broad wings extending far from the spectral peak. Additionally, it is found that the full width at half maximum of the spectrum depends on both the ion temperature and the power-law exponent. This causes the use of the spectral width for determination of the ion temperature to be unreliable. We show that these changes are distinguishable from other broadening mechanisms, such as temporal and motional broadening, and that detailed fitting of the spectral shape is a promising method for extracting information about the state of the ions. © 2013 AIP Publishing LLC.

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Photovoltaic Ground Fault and Blind Spot Electrical Simulations

Flicker, Jack D.; Johnson, Jay

Ground faults in photovoltaic (PV) systems pose a fire and shock hazard. To mitigate these risks, AC-isolated, DC grounded PV systems in the United States use Ground Fault Protection Devices (GFPDs), e.g., fuses, to de-energize the PV system when there is a ground fault. Recently the effectiveness of these protection devices has come under question because multiple fires have started when ground faults went undetected. In order to understand the limitations of fuse-based ground fault protection in PV systems, analytical and numerical simulations of different ground faults were performed.

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Quantifying VOC Emissions for the Strategic Petroleum Reserve

Knowlton, Robert G.; Lord, David

A very important aspect of the Department of Energy's (DOE's) Strategic Petroleum Reserve (SPR) program is regulatory compliance. One of the regulatory compliance issues deals with limiting the amount of volatile organic compounds (VOCs) that are emitted into the atmosphere from brine wastes when they are discharged to brine holding ponds. The US Environmental Protection Agency (USEPA) has set limits on the amount of VOCs that can be discharged to the atmosphere. Several attempts have been made to quantify the VOC emissions associated with the brine ponds going back to the late 1970s. There are potential issues associated with each of these quantification efforts. Two efforts were made to quantify VOC emissions by analyzing VOC content of brine samples obtained from wells. Efforts to measure air concentrations were mentioned in historical reports but no data have been located to confirm these assertions. A modeling effort was also performed to quantify the VOC emissions. More recently in 2011- 2013, additional brine sampling has been performed to update the VOC emissions estimate. An analysis of the statistical confidence in these results is presented here. Arguably, there are uncertainties associated with each of these efforts. The analysis herein indicates that the upper confidence limit in VOC emissions based on recent brine sampling is very close to the 0.42 ton/MMB limit used historically on the project. Refining this estimate would require considerable investment in additional sampling, analysis, and monitoring. An analysis of the VOC emissions at each site suggests that additional discharges could be made and stay within current regulatory limits.

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Preliminary Formation Analysis for Compressed Air Energy Storage in Depleted Natural Gas Reservoirs: A Study for the DOE Energy Storage Systems Program

Gardner, William P.

The purpose of this study is to develop an engineering and operational understanding of CAES performance for a depleted natural gas reservoir by evaluation of relative permeability effects of air, water and natural gas in depleted natural gas reservoirs as a reservoir is initially depleted, an air bubble is created, and as air is initially cycled. The composition of produced gases will be evaluated as the three phase flow of methane, nitrogen and brine are modeled. The effects of a methane gas phase on the relative permeability of air in a formation are investigated and the composition of the produced fluid, which consists primarily of the amount of natural gas in the produced air are determined. Simulations of compressed air energy storage (CAES) in depleted natural gas reservoirs were carried out to assess the effect of formation permeability on the design of a simple CAES system. The injection of N2 (as a proxy to air), and the extraction of the resulting gas mixture in a depleted natural gas reservoir were modeled using the TOUGH2 reservoir simulator with the EOS7c equation of state. The optimal borehole spacing was determined as a function of the formation scale intrinsic permeability. Natural gas reservoir results are similar to those for an aquifer. Borehole spacing is dependent upon the intrinsic permeability of the formation. Higher permeability allows increased injection and extraction rates which is equivalent to more power per borehole for a given screen length. The number of boreholes per 100 MW for a given intrinsic permeability in a depleted natural gas reservoir is essentially identical to that determined for a simple aquifer of identical properties. During bubble formation methane is displaced and a sharp N2-methane boundary is formed with an almost pure N2 gas phase in the bubble near the borehole. During cycling mixing of methane and air occurs along the boundary as the air bubble boundary moves. The extracted gas mixture changes as a function of time and proximity of the bubble boundary to the well. For all simulations reported here, with a formation radius above 50 m the maximum methane composition in the produced gas phase was less than 0.5%. This report provides an initial investigation of CAES in a depleted natural gas reservoir, and the results will provide useful guidance in CAES system investigation and design in the future.

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A validation test for Adagio through replication of Big Hill and Bayou Choctaw JAS3D models

Park, Byoung

JAS3D, a three dimensional iterative solid mechanics code, has been used for structural analyses for the Strategic Petroleum Reserve system since the 1990s. JAS3D is no longer supported by Sandia National Laboratories, and has been replaced by Adagio. To validate the transition from JAS3D to Adagio, the existing JAS3D input decks and user subroutines for Bayou Choctaw and Big Hill models were converted for use with Adagio. The calculation results from the Adagio runs are compared to the JAS3D. Since the Adagio results are very similar to the JAS3D results, Adagio is judged to be performing satisfactorily.

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Conceptual designs of 300-TW and 800-TW pulsed-power accelerators

Stygar, William A.; Fowler, William E.; Gomez, Matthew R.; Harmon, Roger; Herrmann, Mark H.; Huber, Dale L.; Hutsel, Brian T.; Bailey, James E.; Jones, Michael; Jones, Peter; Leckbee, Joshua; Lee, James R.; Lewis, Scot A.; Long, Finis W.; Lopez, Mike R.; Lucero, Diego; Matzen, M.K.; Mazarakis, Michael G.; Mcbride, Ryan; Mckee, G.R.; Nakhleh, Charles; Owen, Albert C.; Rochau, G.A.; Savage, Mark E.; Schwarz, Jens; Sefkow, Adam B.; Sinars, Daniel; Stoltzfus, Brian; Vesey, Roger A.; Wakeland, Peter E.; Cuneo, Michael E.; Flicker, Dawn; Focia, Ronald J.

Abstract not provided.

Toward a New Metric for Ranking High Performance Computing Systems

Heroux, Michael A.

The High Performance Linpack (HPL), or Top 500, benchmark is the most widely recognized and discussed metric for ranking high performance computing systems. However, HPL is increasingly unreliable as a true measure of system performance for a growing collection of important science and engineering applications. In this paper we describe a new high performance conjugate gradient (HPCG) benchmark. HPCG is composed of computations and data access patterns more commonly found in applications. Using HPCG we strive for a better correlation to real scientific application performance and expect to drive computer system design and implementation in directions that will better impact performance improvement.

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Simulating Solar Power Plant Variability: A Review of Current Methods

Ellis, Abraham; Stein, Joshua

It is important to be able to accurately simulate the variability of solar PV power plants for grid integration studies. We aim to inform integration studies of the ease of implementation and application-specific accuracy of current PV power plant output simulation methods. This report reviews methods for producing simulated high-resolution (sub-hour or even sub-minute) PV power plant output profiles for variability studies and describes their implementation. Two steps are involved in the simulations: estimation of average irradiance over the footprint of a PV plant and conversion of average irradiance to plant power output. Six models are described for simulating plant-average irradiance based on inputs of ground-measured irradiance, satellite-derived irradiance, or proxy plant measurements. The steps for converting plant-average irradiance to plant power output are detailed to understand the contributions to plant variability. A forthcoming report will quantify the accuracy of each method using application-specific validation metrics.

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Designing Experiments Through Compressed Sensing

Young, Joseph G.; Ridzal, Denis

In the following paper, we discuss how to design an ensemble of experiments through the use of compressed sensing. Specifically, we show how to conduct a small number of physical experiments and then use compressed sensing to reconstruct a larger set of data. In order to accomplish this, we organize our results into four sections. We begin by extending the theory of compressed sensing to a finite product of Hilbert spaces. Then, we show how these results apply to experiment design. Next, we develop an efficient reconstruction algorithm that allows us to reconstruct experimental data projected onto a finite element basis. Finally, we verify our approach with two computational experiments.

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Results 57601–57800 of 99,299
Results 57601–57800 of 99,299