Search results for "Modeling and Simulation"

showing 10 items of 1561 documents

Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime

2015

We consider the spectrum of correlation lengths of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetic massive regime. These are given as ratios of eigenvalues of the quantum transfer matrix of the model. The eigenvalues are determined by integrals over certain auxiliary functions and by their zeros. The auxiliary functions satisfy nonlinear integral equations. We analyse these nonlinear integral equations in the low-temperature limit. In this limit we can determine the auxiliary functions and the expressions for the eigenvalues as functions of a finite number of parameters which satisfy finite sets of algebraic equations, the so-called higher-level Bethe Ansatz equations. The behavio…

High Energy Physics - TheoryStatistics and ProbabilityPhysicsStatistical Mechanics (cond-mat.stat-mech)Strongly Correlated Electrons (cond-mat.str-el)Zero (complex analysis)FOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Auxiliary functionTransfer matrixBethe ansatzCondensed Matter - Strongly Correlated ElectronsAlgebraic equationHigh Energy Physics - Theory (hep-th)Modeling and SimulationComplex planeCondensed Matter - Statistical MechanicsMathematical PhysicsEigenvalues and eigenvectorsMathematical physicsSpin-½Journal of Physics A: Mathematical and Theoretical
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Forward acceleration of the centre of mass during ski skating calculated from force and motion capture data

2016

The purpose of this paper was to present and evaluate a methodology to determine the contribution of bilateral leg and pole thrusts to forward acceleration of the centre of mass (COM) of cross-country skiers from multi-dimensional ground reaction forces and motion capture data. Nine highly skilled cross-country (XC) skiers performed leg skating and V2-alternate skating (V2A) under constant environmental conditions on snow, while ground reaction forces measured from ski bindings and poles and 3D motion with high-speed cameras were captured. COM acceleration determined from 3D motion analyses served as a reference and was compared to the results of the proposed methodology. The obtained value…

Highly skilled3d motion analysisMechanical Engineering0206 medical engineeringBiomedical EngineeringPhysical Therapy Sports Therapy and Rehabilitation030229 sport sciences02 engineering and technologyGeodesy020601 biomedical engineeringMotion captureMean differenceMotion (physics)03 medical and health sciencesAcceleration0302 clinical medicineClassical mechanicsPosition (vector)Mechanics of MaterialsModeling and SimulationModelling and SimulationOrthopedics and Sports MedicineGround reaction forceMathematicsSports Engineering
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A new calculation procedure for non-uniform residual stress analysis by the hole-drilling method

1998

The hole-drilling method is one of the most used semi-destructive techniques for residual stress analysis in mechanical parts. In the presence of non-uniform residual stress, the stress field can be determined from the measured relaxed strains using several calculation methods, but the most used one is the so-called integral method. This method is characterized by some simplifications that lead to approximate results, especially when the residual stress varies abruptly. In this paper a new calculation procedure called the spline methods is proposed, which allows these drawbacks to be overcome. Numerical simulations and an experimental test have corroborated the best performance of the prop…

Hole drilling methodApplied MathematicsMechanical EngineeringNumerical analysisGeometryMechanicsIntegral equationStress fieldSpline (mathematics)Mechanics of MaterialsResidual stressModeling and SimulationDestructive testingIntegral methodMathematicsThe Journal of Strain Analysis for Engineering Design
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Measurement of residual stresses by the hole-drilling method: Influence of hole eccentricity

1979

The hole-drilling method is a semidestructive technique which allows the measurement of residual stresses. In this method, a source of error is due to the misalignment between the hole and rosette centres. This paper presents a theoretical analysis of the influence of such misalignment on the strains measured by the rosette. Formulae which give the residual stresses taking account of the hole eccentricity are derived. Finally, the errors, which affect the residual stresses when the eccentricity is neglected, are evaluated for some commercial strain-gauge rosettes especially developed for the hole-drilling method.

Hole drilling methodDeep hole drillingMaterials scienceMechanics of MaterialsResidual stressApplied MathematicsMechanical EngineeringModeling and Simulationmedia_common.quotation_subjectForensic engineeringGeotechnical engineeringEccentricity (behavior)media_commonThe Journal of Strain Analysis for Engineering Design
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The “λ-medial axis”

2005

Medial axis is known to be unstable for nonsmooth objects. For an open set O, we define the weak feature size, wfs, minimum distance between Oc and the critical points of the function distance to Oc. We introduce the "lambda-medial axis" Mλ of O, a subset of the medial axis of O which captures the homotopy type of O when λ < wfs. We show that, at least for some "regular" values of λ, Mλ remains stable under Hausdorff distance perturbations of Oc.

HomotopyMinimum distanceMathematical analysisOpen setComputer Graphics and Computer-Aided DesignCritical point (mathematics)CombinatoricsHausdorff distanceMedial axisModeling and SimulationHausdorff dimensionPhysics::Atomic and Molecular ClustersGeometry and TopologyPhysics::Chemical PhysicsSoftwareMathematicsGraphical Models
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Symbolic dynamics in a binary asteroid system

2020

We highlight the existence of a topological horseshoe arising from a a--priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned windows, as described in a recent paper by A. Gierzkiewicz and P. Zgliczy\'nski, combined with a recent analysis of an associated secular problem.

Horseshoe and symbolic dynamicsComputer scienceSymbolic dynamicsFOS: Physical sciencesBinary numberBinary asteroid systemDynamical Systems (math.DS)01 natural sciences010305 fluids & plasmasTopological horseshoe0103 physical sciencesFOS: MathematicsStatistical physicsMathematics - Dynamical Systems010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsNumerical AnalysisApplied MathematicsBinary asteroid system; Horseshoe and symbolic dynamics; Three–body problemMathematical Physics (math-ph)Three-body problemThree–body problemAsteroidModeling and SimulationAstrophysics::Earth and Planetary Astrophysics
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Realism Score for Immersive Virtual Reality Systems and Driving Simulators

2016

International audience; Traditional 2D or 3D quality assessment methods are not sufficient to assess the realism of the outputs of a simulator/immersive virtual reality system. We propose an assessment method based on a scoring system through a new approach. The objective of this paper is to propose a score scale for any simulator or immersive display system that would represent how close to the human visual system the signals that are sent through the display are. Weighted items considered are contrast, acuity, frames per seconds, brightness, field of view and the number of color available.

Human visual systemSynthèse d'image et réalité virtuelle [Informatique]Realism AssessmentVirtual RealityHuman Visual System[INFO.INFO-GR] Computer Science [cs]/Graphics [cs.GR]Modélisation et simulation [Informatique][INFO.INFO-MO]Computer Science [cs]/Modeling and SimulationVirtual reality[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]Interface homme-machine [Informatique]Objective ScoringRealism assessment[INFO.INFO-HC]Computer Science [cs]/Human-Computer Interaction [cs.HC][INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation[INFO.INFO-HC] Computer Science [cs]/Human-Computer Interaction [cs.HC]
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FRACTALITY EVIDENCE AND LONG-RANGE DEPENDENCE ON CAPITAL MARKETS: A HURST EXPONENT EVALUATION

2014

Since the existence of market memory could implicate the rejection of the efficient market hypothesis, the aim of this paper is to find any evidence that selected emergent capital markets (eight European and BRIC markets, namely Hungary, Romania, Estonia, Czech Republic, Brazil, Russia, India and China) evince long-range dependence or the random walk hypothesis. In this paper, the Hurst exponent as calculated by R/S fractal analysis and Detrended Fluctuation Analysis is our measure of long-range dependence in the series. The results reinforce our previous findings and suggest that if stock returns present long-range dependence, the random walk hypothesis is not valid anymore and neither is…

Hurst exponentEfficient-market hypothesisApplied MathematicsModeling and SimulationDetrended fluctuation analysisEconomicsEconometricsMarket efficiencyGeometry and TopologyCapital marketStock (geology)Random walk hypothesisBRICFractals
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Variable Step Size P&O Algorithms for Coalescing Pump/Deoiling Hydrocyclone Produced Water Treatment System

2020

This paper presents three variable step size P&O algorithms for optimizing the separation efficiency of a coalescing pump/deoiling hydrocyclone produced water treatment system. By continuously adjusting the pumping pressure, and subsequently the coalescing effect, the algorithms are used to minimize the oil concentration downstream the hydrocyclone. Due to the variable step size, the algorithms react rapidly to changes in the upstream produced water characteristics, at the same time as they reduce (or eliminate) steady-state oscillations. Based on both simulation and experimental testing, the study discusses advantages and disadvantages of the algorithms.

HydrocycloneTreatment systemcoalescencebusiness.industryp&o algorithmstep sizecentrifugal pumphydrocycloneProduced waterlcsh:QA75.5-76.95Computer Science ApplicationsVariable (computer science)Control and Systems EngineeringModeling and Simulationproduced waterlcsh:Electronic computers. Computer scienceProcess engineeringbusinessSoftwareMathematicsModeling, Identification and Control
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Towards the development of a biogeochemical model for addressing the eutrophication problems in the shallow hypertrophic lagoon of Albufera de Valenc…

2015

Abstract Our study presents a biogeochemical model that aims to reproduce the ecological processes shaping phytoplankton dynamics in the shallow hypertrophic lagoon of Albufera de Valencia (Spain). The model simulates two elemental cycles (N and P), two phytoplankton groups (cyanobacteria and non-cyanobacteria), and heterotrophic bacteria. First, we examine the capacity to reproduce the observed plankton patterns, while accommodating the uncertainty related to the external forcing factors of our model (hydraulic and nutrient loading, zooplankton grazing). Sensitivity analysis is also performed to identify the most influential parameters and therefore to shed light on the knowledge needed to…

HydrologyChlorophyll aNutrient cycleEcologyEcologyApplied MathematicsEcological ModelingPlanktonComputer Science ApplicationsMacrophytechemistry.chemical_compoundComputational Theory and MathematicschemistryModeling and SimulationPhytoplanktonEnvironmental scienceEcosystemWater qualityEutrophicationEcology Evolution Behavior and SystematicsEcological Informatics
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