Monte Carlo Sampler.

Everett, Cath; Cashwell, E.D.

doi:10.2172/4589395

Cited by 13 publications

(18 citation statements)

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“…We first sample from P(p), a MaxwellBoltzmann distribution (e.g., Everett & Cashwell 1983;Kalos & Whitlock 1986 Note that we could instead use the scattering opacities from the OPLIB database, also evaluated using Equation (118). However, we cannot use the OPLIB database for stimulated scattering (Appendix A.2), so we use the above method for consistency.…”

Section: Discussion/future Directionsmentioning

confidence: 99%

“…Our method is similar to that of Canfield et al (1987), but we sample from a MaxwellBoltzmann electron distribution rather than a relativistic one. We refer to Kahn (1956), Everett & Cashwell (1983), and Kalos & Whitlock (1986) for details on sampling from Maxwell-Boltzmann and Klein-Nishina distributions.…”

Section: Appendix Monte Carlo Methods For Compton Scatteringmentioning

confidence: 99%

“…Note that unlike above, we only do this procedure once (or rather, until the first time  x R 2 ) for each scattering event. Then the Klein-Nishina distribution is sampled (Kahn 1956;Everett & Cashwell 1983) to find n ¢ 0 and h 0 , and z^and h0 , are each sampled uniformly in [ ] p 0, 2 . The photon direction after scatteringŴ¢ is found through Lorentz transformations and three-dimensional rotations: we first findn fromŴ, rotatingŴ by an angle ( ) z arccos about the vectorŴ^1, whereŴ^1 is some direction orthogonal toŴ, to getn ; 1 and then rotatingn 1 by an angle z^about the vectorŴ.…”

Section: A1 Ignoring Stimulated Scatteringmentioning

confidence: 99%

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Model Atmospheres for X-Ray Bursting Neutron Stars

Medin

Steinkirch

Calder

et al. 2016

ApJ

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The hydrogen and helium accreted by X-ray bursting neutron stars is periodically consumed in runaway thermonuclear reactions that cause the entire surface to glow brightly in X-rays for a few seconds. With models of the emission, the mass and radius of the neutron star can be inferred from the observations. By simultaneously probing neutron star masses and radii, X-ray bursts (XRBs) are one of the strongest diagnostics of the nature of matter at extremely high densities. Accurate determinations of these parameters are difficult, however, due to the highly non-ideal nature of the atmospheres where XRBs occur. Observations from X-ray telescopes such as RXTE and NuStar can potentially place strong constraints on nuclear matter once uncertainties in atmosphere models have been reduced. Here we discuss current progress on modeling atmospheres of X-ray bursting neutron stars and some of the challenges still to be overcome.

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Section: Discussion/future Directionsmentioning

confidence: 99%

Section: Appendix Monte Carlo Methods For Compton Scatteringmentioning

confidence: 99%

Section: A1 Ignoring Stimulated Scatteringmentioning

confidence: 99%

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Model Atmospheres for X-Ray Bursting Neutron Stars

Medin

Steinkirch

Calder

et al. 2016

ApJ

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“…Modal parameters of the combustor were identified through resonance tests adopting the so-called roving hammer technique [18][19][20][21][22][23]. In Fig.…”

Section: Experimental Investigationmentioning

confidence: 99%

“…In particular, two different probabilistic design approaches, the Monte Carlo Simulation (MC) [20] and the Response Surface Method (RSM) [21] have been used to characterize the dynamic properties of the combustor-rig. The statistical approaches applied in this paper are extensively treated in literature [22], and so they have been applied without any explicit introduction or analytical formulation.…”

Section: Introductionmentioning

confidence: 99%

A Sensitivity Analysis on the Influence of the External Constraints on the Dynamic Behaviour of a Low Pollutant Emissions Aircraft Combustor-Rig

Amoroso

Fenza

Petrone

et al. 2016

Archive of Mechanical Engineering

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The need to reduce pollutant emissions leads the engineers to design new aeronautic combustors characterized by lean burn at relatively low temperatures. This requirement can easily cause flame instability phenomena and consequent pressure pulsations which may seriously damage combustor's structure and/or compromise its fatigue life.Hence the need to study the combustor's structural dynamics and the interaction between elastic, thermal and acoustic phenomena. Finite element method represent a largely used and fairly reliable tool to address these studies; on the other hand, the idealization process may bring to results quite far from the reality whereas too simplifying assumptions are made.Constraints modelling represent a key-issue for all dynamic FE analyses; a wrong simulation of the constraints may indeed compromise entire analyses although running on very accurate and mesh-refined structural models.In this paper, a probabilistic approach to characterize the influence of external constraints on the modal behaviour of an aircraft combustor-rig is presented. The finite element model validation was performed at first by comparing numerical and experimental results for the free-free condition (no constraints). Once the model was validated, the effect of constraints elasticity on natural frequencies was investigated by means of a probabilistic design simulation (PDS); referring to a specific tool developed in the ANSYS®software, a preliminary statistical analysis was at performed via Monte-Carlo Simulation (MCS) method. The results were then correlated with the experimental ones via Response Surface Method (RSM). Φ P -vector of modal displacements coming from source P (source being theoretical analysis or experimental measurement)Φ X -vector of modal displacements coming from source X (source being theoretical analysis or experimental measurement)

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A special method to sample some probability density functions

Lux

1978

Computing

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--ZusammenfassnngA Special Method to Sample Some Probability Density Functions. A special method is described to sample some probability density functions by help of their first derivatives. Two general theorems and some special applications, giving practical sampling procedures, are presented along with a number of illustrative examples.Eine spezielle Methode zur Modellierung einiger Wahrscheinlichkeitsdichtefunktionen. Eine spezielle Methode fiir Modellierung einiger Wahrscheinlichkeitsdichtefunktionen mittels ihren ersten Ableitungen zu nehmen, wird beschrieben. Zwei allgemeine Theoreme und einige spezielle Anwendungen, die praktische Verfahren geben, werden zusammen mit einer Reihe von verdeutlichenden Beispielen gegeben.

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Monte Carlo Sampler.

Cited by 13 publications

References 0 publications

Model Atmospheres for X-Ray Bursting Neutron Stars

Model Atmospheres for X-Ray Bursting Neutron Stars

A Sensitivity Analysis on the Influence of the External Constraints on the Dynamic Behaviour of a Low Pollutant Emissions Aircraft Combustor-Rig

A special method to sample some probability density functions

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