Relevant bibliographies by topics / Legendre polynomial expansion of distribution function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Legendre polynomial expansion of distribution function'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Legendre polynomial expansion of distribution function.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Legendre polynomial expansion of distribution function"

1

Jorna, S., and L. Wood. "Fokker-Planck calculations on heat flow in plasmas." Journal of Plasma Physics 38, no. 2 (1987): 317–33. http://dx.doi.org/10.1017/s0022377800012617.

Full text
Abstract:
This paper deals with the application of a Fokker–Planck code to the problem of heat conduction down steep thermal gradients. The results are compared with those obtained with other codes based on the Fokker–Planck equation in which various simplifying assumptions are made in the calculation of the Rosenbluth potentials. The particular problem considered is that of heat flow between spherical shells at different temperatures. The difference between the heat flows resulting from isotropic and anisotropic distributions is specially emphasized. The results show that, for calculating temperature,
APA, Harvard, Vancouver, ISO, and other styles
2

Wang, Shiuh‐Luen, Neil Goldsman, and Kenneth Hennacy. "Calculation of impact ionization coefficients with a third‐order Legendre polynomial expansion of the distribution function." Journal of Applied Physics 71, no. 4 (1992): 1815–22. http://dx.doi.org/10.1063/1.351188.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Chi, Yaodan, Bin Li, Xiaotian Yang, Tianhao Wang, Kaiyu Yang, and Yinhan Gao. "Research on the Statistical Characteristics of Crosstalk in Naval Ships Wiring Harness Based on Polynomial Chaos Expansion Method." Polish Maritime Research 24, s2 (2017): 205–14. http://dx.doi.org/10.1515/pomr-2017-0084.

Full text
Abstract:
Abstract Crosstalk in wiring harness has been studied extensively for its importance in the naval ships electromagnetic compatibility field. An effective and high-efficiency method is proposed in this paper for analyzing Statistical Characteristics of crosstalk in wiring harness with random variation of position based on Polynomial Chaos Expansion (PCE). A typical 14-cable wiring harness was simulated as the object of research. Distance among interfering cable, affected cable and GND is synthesized and analyzed in both frequency domain and time domain. The model of naval ships wiring harness d
APA, Harvard, Vancouver, ISO, and other styles
4

Скрекель, О. М., Н. Н. Бахарев, В. К. Гусев та Е. О. Киселев. "Расчет нейтронного выхода токамака Глобус-М2 с учетом анизотропии по скоростям функции распределения ионов при нейтральной инжекции атомов высокой энергии". Письма в журнал технической физики 47, № 4 (2021): 22. http://dx.doi.org/10.21883/pjtf.2021.04.50640.18548.

Full text
Abstract:
The paper considers two algorithms for calculating the neutron yield of the Globus-M2 tokamak for the case of anisotropic ion distribution functions. Such calculations are necessary to estimate the flux of neutrons produced as a result of the interaction between fast particles (deuterons) arising from the neutral beam injection. The first algorithm is the calculation of a six-dimensional integral in the velocity space, and the second uses the expansion of the ion distribution function in terms of Legendre polynomials, which allows one to reduce the dimension of integration. The advantages and
APA, Harvard, Vancouver, ISO, and other styles
5

Konikov, Yu V., and V. N. Oraevskii. "Hydrodynamic equations for a plasma in the region of the distribution-function plateau." Journal of Plasma Physics 42, no. 2 (1989): 257–68. http://dx.doi.org/10.1017/s0022377800014343.

Full text
Abstract:
A hydrodynamic theory is presented for plasma particles whose distribution function is close to a plateau in some phase-space region for a finite one-dimensional phase-spase interval. In the framework of the methods of moments, a series expansion of the particle distribution function in an appropriate system of orthogonal (Legendre) polynomials near the state with a plateau is carried out. Deviations from the plateau are due to the presence of a heat flux. The expansion obtained for the distribution function is used to truncate the chain of hydrodynamic equations and to calculate the additiona
APA, Harvard, Vancouver, ISO, and other styles
6

ZHU, Shuai-tao, Xu-bo MA, Hui TANG, Le YANG, and Bo CAO. "Analyzing the neutron scattering angular distribution in a ACE-formatted multigroup cross section library using the maximum entropy method." EPJ Web of Conferences 239 (2020): 10003. http://dx.doi.org/10.1051/epjconf/202023910003.

Full text
Abstract:
To describe the angular distribution for a group-to-group neutron scattering event, the coefficients of a truncated Legendre polynomial are usually used in the multigroup cross section. However, the truncated expansion can caused negative values of a probability density function (PDF) in some scattering angles. In this study, the PDF of scattering angles is calculated using the maximum entropy method to avoid the negative probabilities of some scattering angles and the multigroup cross section library in ACE format is generated. The multigroup cross section library is verified by the computati
APA, Harvard, Vancouver, ISO, and other styles
7

HUTAURUK, P. T. P., D. G. IRELAND, and G. ROSNER. "DIFFERENTIAL CROSS SECTION ANALYSIS IN KAON PHOTOPRODUCTION USING ASSOCIATED LEGENDRE POLYNOMIALS." Modern Physics Letters A 24, no. 11n13 (2009): 950–54. http://dx.doi.org/10.1142/s0217732309000358.

Full text
Abstract:
Angular distributions of differential cross sections from the latest CLAS data sets,6 for the reaction γ + p→K+ + Λ have been analyzed using associated Legendre polynomials. This analysis is based upon theoretical calculations in Ref. 1 where all sixteen observables in kaon photoproduction can be classified into four Legendre classes. Each observable can be described by an expansion of associated Legendre polynomial functions. One of the questions to be addressed is how many associated Legendre polynomials are required to describe the data. In this preliminary analysis, we used data models wit
APA, Harvard, Vancouver, ISO, and other styles
8

Zhang, Feng, Kun Liu, Quan Yang, Kun Wu, and Jian-Qi Zhao. "Comparison of Chebyshev and Legendre Polynomial Expansion of Phase Function of Cloud and Aerosol Particles." Advances in Meteorology 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/1835169.

Full text
Abstract:
Chebyshev and Legendre polynomial expansion is used to reconstruct the Henyey-Greenstein phase function and the phase functions of spherical and nonspherical particles. The result of Legendre polynomial expansion is better than that of Chebyshev polynomial for around 0-degree forward angle, while Chebyshev polynomial expansion produces more accurate results in most regions of the phase function. For large particles like ice crystals, the relative errors of Chebyshev polynomial can be two orders of magnitude less than those of Legendre polynomial.
APA, Harvard, Vancouver, ISO, and other styles
9

Zinchenko, Alexander Z., and Robert H. Davis. "Gravity-induced coalescence of drops at arbitrary Péclet numbers." Journal of Fluid Mechanics 280 (December 10, 1994): 119–48. http://dx.doi.org/10.1017/s0022112094002879.

Full text
Abstract:
The collision efficiency in a dilute suspension of sedimenting drops is considered, with allowance for particle Brownian motion and van der Waals attractive force. The drops are assumed to be of the same density, but they differ in size. Drop deformation and fluid inertia are neglected. Owing to small particle volume fraction, the analysis is restricted to binary interactions and includes the solution of the full quasi-steady Fokker—Planck equation for the pair-distribution function. Unlike previous studies on drop or solid particle collisions, a numerical solution is presented for arbitrary P
APA, Harvard, Vancouver, ISO, and other styles
10

Satoh, Kohki, Takahiro Honma, Hidenori Itoh, and Hiroaki Tagashira. "Higher order sampling of electron energy distribution function using Legendre polynomial and B-spline function." IEEJ Transactions on Fundamentals and Materials 120, no. 2 (2000): 147–53. http://dx.doi.org/10.1541/ieejfms1990.120.2_147.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Legendre polynomial expansion of distribution function"

1

Sosov, Yuriy. "Legendre Polynomial Expansion of the Electron Boltzmann Equation Applied to the Discharge in Argon." University of Toledo / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1145290801.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Legendre polynomial expansion of distribution function"

1

Little, Jared A., Michael J. Mazzoleni, and Brian P. Mann. "Utilizing a Blending Function to Improve Nonlinear Frequency Response Predictions for a Pendulum System." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60238.

Full text
Abstract:
This paper investigates the use of blending functions to improve nonlinear frequency response predictions for a pendulum system. The harmonic balance method is used to generate approximate analytical solutions for the amplitude-dependent natural frequency of an unforced pendulum, as well as the frequency response behavior of a forced pendulum. For both cases, separate results are obtained and compared from two different approximations for the sine function: Taylor series expansion (evaluated at the stable equilibrium position of the pendulum) and Legendre polynomial series expansion (evaluated
APA, Harvard, Vancouver, ISO, and other styles
2

Pepper, Nick, Francesco Montomoli, Francesco Giacomel, et al. "Uncertainty Quantification and Missing Data for Turbomachinery With Probabilistic Equivalence and Arbitrary Polynomial Chaos, Applied to Scroll Compressors." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16139.

Full text
Abstract:
Abstract This work presents a framework for predicting unknown input distributions for turbomachinery applications starting from scarce experimental measurements. The problem is relevant to turbomachinery where important parameters are obtained using indirect measurements. In this paper a scroll compressor is used as example but the suggested framework is completely general and can be used to infer missing data on material composition (carbon fiber properties, laser melted specimens for additive manufacturing etc) or input data (such as the turbine inlet temperature). Scroll compressors are sm
APA, Harvard, Vancouver, ISO, and other styles
3

Babaee, Hessam, Xiaoliang Wan, and Sumanta Acharya. "Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17159.

Full text
Abstract:
In this study the effect of randomness of blowing ratio on film cooling performance is investigated by combining direct numerical simulations with a stochastic collocation approach. The geometry includes a 35-degree inclined jet with a plenum attached to it. The blowing ratio variations are assumed to have a truncated Gaussian distribution with mean of 0.3 and the standard variation of approximately 0.1. The parametric space is discretized using Multi-Element general Polynomial Chaos (ME-gPC) with five elements where general polynomial chaos of order 3 is used in each element. A fast convergen
APA, Harvard, Vancouver, ISO, and other styles
4

Lee, Sang Hoon, and Wei Chen. "A Comparative Study of Uncertainty Propagation Methods for Black-Box Type Functions." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35533.

Full text
Abstract:
It is an important step in deign under uncertainty to select an appropriate uncertainty propagation (UP) method considering the characteristics of the engineering systems at hand, the required level of UP associated with the probabilistic design scenario, and the required accuracy and efficiency levels. Many uncertainty propagation methods have been developed in various fields, however, there is a lack of good understanding of their relative merits. In this paper, a comparative study on the performances of several UP methods, including a few recent methods that have received growing attention,
APA, Harvard, Vancouver, ISO, and other styles
5

Davidson, Jacob D., and N. C. Goulbourne. "Electromechanical Coupling in Ionic Polymer-Metal Composites." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39582.

Full text
Abstract:
Ionic polymer-metal composites (IPMCs) are smart materials which function as soft sensors and actuators. When a small DC voltage (1–5 V) is applied to an IPMC in a cantilever configuration, ion and solvent transport through the thickness of the polymer membrane causes the transducer to bend towards the anode. For device development and use in engineering applications, actuation is often described at a higher level in terms of an electromechanical coupling between the ionic charge distribution and the stresses developed in the IPMC. In this work we derive a set of relationships describing the c
APA, Harvard, Vancouver, ISO, and other styles
6

Almeida, C. A. "Adaptivity and Mesh Generation in 2-D Finite Element Analysis." In ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium collocated with the ASME 1994 Design Technical Conferences. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/cie1994-0444.

Full text
Abstract:
Abstract A methodology for the automatic mesh generation of triangular and quadrilateral finite element discretizations for two-dimensional elasticity problems is proposed. The methodology is based on: i) an h-adaptive process with powerful mesh generator facilities capable of achieving meshes of specified density, ii) a general stress recovery technique developed for determining the element solutions at the nodes, and iii) an a posteriori error estimation. The h-adaptive process used is based on a complete mesh regeneration procedure which is guided by specified mesh requirements such as geom
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography