Log in

Relevant bibliographies by topics / Quadrature method of moment / Journal articles

Journal articles on the topic 'Quadrature method of moment'

To see the other types of publications on this topic, follow the link: Quadrature method of moment.

Author: Grafiati

Published: 14 March 2023

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

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Quadrature method of moment.'

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.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Shiea, Mohsen, Antonio Buffo, Marco Vanni, and Daniele Marchisio. "Numerical Methods for the Solution of Population Balance Equations Coupled with Computational Fluid Dynamics." Annual Review of Chemical and Biomolecular Engineering 11, no. 1 (June 7, 2020): 339–66. http://dx.doi.org/10.1146/annurev-chembioeng-092319-075814.

Full text

Abstract:

This review article discusses the solution of population balance equations, for the simulation of disperse multiphase systems, tightly coupled with computational fluid dynamics. Although several methods are discussed, the focus is on quadrature-based moment methods (QBMMs) with particular attention to the quadrature method of moments, the conditional quadrature method of moments, and the direct quadrature method of moments. The relationship between the population balance equation, in its generalized form, and the Euler-Euler multiphase flow models, notably the two-fluid model, is thoroughly discussed. Then the closure problem and the use of Gaussian quadratures to overcome it are analyzed. The review concludes with the presentation of numerical issues and guidelines for users of these modeling approaches.

APA, Harvard, Vancouver, ISO, and other styles

2

Fox, Rodney O. "Optimal Moment Sets for Multivariate Direct Quadrature Method of Moments." Industrial & Engineering Chemistry Research 48, no. 21 (November 4, 2009): 9686–96. http://dx.doi.org/10.1021/ie801316d.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Deju, L., S. C. P. Cheung, G. H. Yeoh, and J. Tu. "Study of Isothermal Vertical Bubbly Flow Using Direct Quadrature Method of Moments." Journal of Computational Multiphase Flows 4, no. 1 (March 2012): 23–39. http://dx.doi.org/10.1260/1757-482x.4.1.23.

Full text

Abstract:

In the numerical study, investigation of bubbly flow requires deep understanding of complex hydrodynamics under various flow conditions. In order to simulate the bubble behaviour in conjunction with suitable bubble coalescence and bubble breakage kernels, direct quadrature method of moments (DQMOM) has been applied and validated instead. To examine the predictive results from DQMOM model, the validation has been carried out against experimental data of Lucas et al. (2005) and Prasser et al. (2007) measured in the Forschungszentrum Dresden-Rossendorf FZD facility. Numerical results showed good agreement against experimental data for the local and axial void fraction, bubble size distribution and interfacial area concentration profiles. Encouraging results demonstrates the prospect of the DQMOM two-fluid model against flow conditions with wider range of bubble sizes and rigorous bubble interactions. Moreover, moment sensitivity study also has been carried out to carefully assess the performance of the model. In order to perform the moment sensitivity test three different moment criteria has chosen – as 4 moments, 6 moments and 8 moments. Close agreement between the predictions and measurement was found and it appeared that increasing the number of moments does not have much significance to improve the conformity with experimental data. Nonetheless, increasing the number of moments merely contribute to perform the calculation expensive in terms of computational resource and time. Based on the present study, this preliminary assessment has definitely served to demonstrate and exploit DQMOM model's capabilities to handle wider range of bubble sizes as well as moment resolution required to achieve moment independent solution.

APA, Harvard, Vancouver, ISO, and other styles

4

Heylmun, J. C., B. Kong, A. Passalacqua, and R. O. Fox. "A quadrature-based moment method for polydisperse bubbly flows." Computer Physics Communications 244 (November 2019): 187–204. http://dx.doi.org/10.1016/j.cpc.2019.06.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Vishnevsky, A., and A. Firsova. "Calculation of dipole magnetic moment from open-surface measurements." Transactions of the Krylov State Research Centre 1, no. 399 (March 15, 2022): 168–75. http://dx.doi.org/10.24937/2542-2324-2022-1-399-168-175.

Full text

Abstract:

Object and purpose of research. This paper discusses a quadrature-based method of dipole magnetic moment (DMM) calculation as per magnetic field measurement data for the open surface encompassing magnetic field sources. The purpose of the study was to modify this method for the case when measurement data are not available for certain areas on the surface (in other words, when the surface is not closed). Materials and methods. The paper describes magnetic dipole calculation methods, as well as the publications discuss-ing their efficiency. The method suggested in this paper basically substitutes the lacking magnetic field data by the values for pre-defined type of source, thus giving the correction coefficients needed to take into account the contribution of lacking areas. Main results. The paper suggests the methods for taking into account the missing parts of the open measurement surface in quadrature-based DMM calculation procedure. Calculation errors of DMM components for magnetic fields of various structure are estimated as per the solution for a series of test problems. Conclusion. The quadrature method offered in this study offers more accurate DMM calculation. The expressions given in the paper could be used to calculate DMM components as per magnetic field measurements for the generatrices of cylindrical surface, and the approach suggested in this study could be applied to arbitrary open surfaces.

APA, Harvard, Vancouver, ISO, and other styles

6

Afzalifar, Ali, Teemu Turunen-Saaresti, and Aki Grönman. "Non-realisability problem with the conventional method of moments in wet-steam flows." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 232, no. 5 (October 11, 2017): 473–89. http://dx.doi.org/10.1177/0957650917735955.

Full text

Abstract:

The method of moments offers an efficient way to preserve the essence of particle size distribution, which is required in many engineering problems such as modelling wet-steam flows. However, in the context of the finite volume method, high-order transport algorithms are not guaranteed to preserve the moment space, resulting in so-called ‘non-realisable’ moment sets. Non-realisability poses a serious obstacle to the quadrature-based moment methods, since no size distribution can be identified for a non-realisable moment set and the moment-transport equations cannot be closed. On the other hand, in the case of conventional method of moments, closures to the moment-transport equations are directly calculated from the moments themselves; as such, non-realisability may not be a problem. This article describes an investigation of the effects of the non-realisability problem on the flow conditions and moment distributions obtained by the conventional method of moments through several one-dimensional test cases involving systems that exhibited similar characteristics to low-pressure wet-steam flows. The predictions of pressures and mean droplet sizes were not considerably disturbed due to non-realisability in any of the test cases. However, in one case that was characterised by strong temporal and spatial gradients, non-realisability did undermine the accuracy of the predictions of measures for the underlying size distributions, including the standard deviation and skewness.

APA, Harvard, Vancouver, ISO, and other styles

7

Su, Junwei, Wang Le, Zhaolin Gu, and Chungang Chen. "Local Fixed Pivot Quadrature Method of Moments for Solution of Population Balance Equation." Processes 6, no. 11 (October 31, 2018): 209. http://dx.doi.org/10.3390/pr6110209.

Full text

Abstract:

A local fixed pivot quadrature method of moments (LFPQMOM) is proposed for the solution of the population balance equation (PBE) for the aggregation and breakage process. First, the sectional representation for aggregation and breakage is presented. The continuous summation of the Dirac Delta function is adopted as the discrete form of the continuous particle size distribution in the local section as performed in short time Fourier transformation (STFT) and the moments in local sections are tracked successfully. Numerical simulation of benchmark test cases including aggregation, breakage, and aggregation breakage combined processes demonstrate that the new method could make good predictions for the moments along with particle size distribution without further assumption. The accuracy in the numerical results of the moments is comparable to or higher than the quadrature method of moment (QMOM) in most of the test cases. In theory, any number of moments can be tracked with the new method, but the computational expense can be relatively large due to many scalar equations that may be included.

APA, Harvard, Vancouver, ISO, and other styles

8

Desjardins, O., R. O. Fox, and P. Villedieu. "A quadrature-based moment method for dilute fluid-particle flows." Journal of Computational Physics 227, no. 4 (February 2008): 2514–39. http://dx.doi.org/10.1016/j.jcp.2007.10.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Bałdyga, Jerzy, Grzegorz Tyl, and Mounir Bouaifi. "Application of Gaussian cubature to model two-dimensional population balances." Chemical and Process Engineering 38, no. 3 (September 1, 2017): 393–409. http://dx.doi.org/10.1515/cpe-2017-0030.

Full text

Abstract:

Abstract In many systems of engineering interest the moment transformation of population balance is applied. One of the methods to solve the transformed population balance equations is the quadrature method of moments. It is based on the approximation of the density function in the source term by the Gaussian quadrature so that it preserves the moments of the original distribution. In this work we propose another method to be applied to the multivariate population problem in chemical engineering, namely a Gaussian cubature (GC) technique that applies linear programming for the approximation of the multivariate distribution. Examples of the application of the Gaussian cubature (GC) are presented for four processes typical for chemical engineering applications. The first and second ones are devoted to crystallization modeling with direction-dependent two-dimensional and three-dimensional growth rates, the third one represents drop dispersion accompanied by mass transfer in liquid-liquid dispersions and finally the fourth case regards the aggregation and sintering of particle populations.

APA, Harvard, Vancouver, ISO, and other styles

10

Su, Junwei, Zhaolin Gu, Yun Li, Shiyu Feng, and X. Yun Xu. "An adaptive direct quadrature method of moment for population balance equations." AIChE Journal 54, no. 11 (November 2008): 2872–87. http://dx.doi.org/10.1002/aic.11599.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Bryngelson, Spencer H., Tim Colonius, and Rodney O. Fox. "QBMMlib: A library of quadrature-based moment methods." SoftwareX 12 (July 2020): 100615. http://dx.doi.org/10.1016/j.softx.2020.100615.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Passalacqua, Alberto, Janine E. Galvin, Prakash Vedula, Christine M. Hrenya, and Rodney O. Fox. "A Quadrature-Based Kinetic Model for Dilute Non-Isothermal Granular Flows." Communications in Computational Physics 10, no. 1 (July 2011): 216–52. http://dx.doi.org/10.4208/cicp.020210.160910a.

Full text

Abstract:

AbstractA moment method with closures based on Gaussian quadrature formulas is proposed to solve the Boltzmann kinetic equation with a hard-sphere collision kernel for mono-dispersed particles. Different orders of accuracy in terms of the moments of the velocity distribution function are considered, accounting for moments up to seventh order. Quadrature-based closures for four different models for inelastic collision-the Bhatnagar-Gross-Krook, ES-BGK, the Maxwell model for hard-sphere collisions, and the full Boltzmann hard-sphere collision integral-are derived and compared. The approach is validated studying a dilute non-isothermal granular flow of inelastic particles between two stationary Maxwellian walls. Results obtained from the kinetic models are compared with the predictions of molecular dynamics (MD) simulations of a nearly equivalent system with finite-size particles. The influence of the number of quadrature nodes used to approximate the velocity distribution function on the accuracy of the predictions is assessed. Results for constitutive quantities such as the stress tensor and the heat flux are provided, and show the capability of the quadrature-based approach to predict them in agreement with the MD simulations under dilute conditions.

APA, Harvard, Vancouver, ISO, and other styles

13

Fox, R. O. "A quadrature-based third-order moment method for dilute gas-particle flows." Journal of Computational Physics 227, no. 12 (June 2008): 6313–50. http://dx.doi.org/10.1016/j.jcp.2008.03.014.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Madadi-Kandjani, E., and A. Passalacqua. "An extended quadrature-based moment method with log-normal kernel density functions." Chemical Engineering Science 131 (July 2015): 323–39. http://dx.doi.org/10.1016/j.ces.2015.04.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Zheng, Dan, Wei Zou, Chuanfeng Peng, Yuhang Fu, Jie Yan, and Fengzhen Zhang. "CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods." International Journal of Chemical Engineering 2019 (March 3, 2019): 1–13. http://dx.doi.org/10.1155/2019/4836213.

Full text

Abstract:

A coupled numerical code of the Euler-Euler model and the population balance model (PBM) of the liquid-liquid dispersions in a spray fluidized bed extractor (SFBE) has been performed to investigate the hydrodynamic behavior. A classes method (CM) and two representatively numerical moment-based methods, namely, a quadrature method of moments (QMOM) and a direct quadrature method of moments (DQMOM), are used to solve the PBE for evaluating the effect of the numerical method. The purpose of this article is to compare the results achieved by three methods for solving population balance during liquid-liquid two-phase mixing in a SFBE. The predicted results reveal that the CM has the advantage of computing the droplet size distribution (DSD) directly, but it is computationally expensive if a large number of intervals are needed. The MOMs (QMOM and DQMOM) are preferable to coupling the PBE solution with CFD codes for liquid-liquid dispersions simulations due to their easy application, reasonable accuracy, and high reliability. Comparative results demonstrated the suitability of the DQMOM for modeling the spray fluidized bed extractor with simultaneous droplet breakage and aggregation. This work increases the understanding of the chemical engineering characteristics of multiphase systems and provides a theoretical basis for the quantitative design, scale-up, and optimization of multiphase devices.

APA, Harvard, Vancouver, ISO, and other styles

16

Pollack, Martin, Michele Pütz, Daniele L. Marchisio, Michael Oevermann, and Christian Hasse. "Zero-flux approximations for multivariate quadrature-based moment methods." Journal of Computational Physics 398 (December 2019): 108879. http://dx.doi.org/10.1016/j.jcp.2019.108879.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Fox, R. O. "Higher-order quadrature-based moment methods for kinetic equations." Journal of Computational Physics 228, no. 20 (November 2009): 7771–91. http://dx.doi.org/10.1016/j.jcp.2009.07.018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Sun, Dan, Andrew Garmory, and Gary J. Page. "A robust two-node, 13 moment quadrature method of moments for dilute particle flows including wall bouncing." Journal of Computational Physics 330 (February 2017): 493–509. http://dx.doi.org/10.1016/j.jcp.2016.11.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Carneiro, João N. E., Gabriel F. N. Gonçalves, and Achintya Mukhopadhyay. "Application of the extended quadrature method of moments as a multi-moment parameterization scheme for raindrops sedimentation." Atmospheric Research 213 (November 2018): 97–109. http://dx.doi.org/10.1016/j.atmosres.2018.05.023.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Ziemer, Corinna, Gary Jasor, Ulrike Wacker, Klaus D. Beheng, and Wolfgang Polifke. "Quantitative comparison of presumed-number-density and quadrature moment methods for the parameterisation of drop sedimentation." Meteorologische Zeitschrift 23, no. 4 (September 26, 2014): 411–23. http://dx.doi.org/10.1127/0941-2948/2014/0564.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Mukhtar, Sohaib, and Ahmad. "A Numerical Approach to Solve Volume-Based Batch Crystallization Model with Fines Dissolution Unit." Processes 7, no. 7 (July 15, 2019): 453. http://dx.doi.org/10.3390/pr7070453.

Full text

Abstract:

In this article, a numerical study of a one-dimensional, volume-based batch crystallization model (PBM) is presented that is used in numerous industries and chemical engineering sciences. A numerical approximation of the underlying model is discussed by using an alternative Quadrature Method of Moments (QMOM). Fines dissolution term is also incorporated in the governing equation for improvement of product quality and removal of undesirable particles. The moment-generating function is introduced in order to apply the QMOM. To find the quadrature abscissas, an orthogonal polynomial of degree three is derived. To verify the efficiency and accuracy of the proposed technique, two test problems are discussed. The numerical results obtained by the proposed scheme are plotted versus the analytical solutions. Thus, these findings line up well with the analytical findings.

APA, Harvard, Vancouver, ISO, and other styles

22

OLVER, SHEEHAN. "Moment-free numerical approximation of highly oscillatory integrals with stationary points." European Journal of Applied Mathematics 18, no. 4 (August 2007): 435–47. http://dx.doi.org/10.1017/s0956792507007012.

Full text

Abstract:

This article presents a method for the numerical quadrature of highly oscillatory integrals with stationary points. We begin with the derivation of a new asymptotic expansion, which has the property that the accuracy improves as the frequency of oscillations increases. This asymptotic expansion is closely related to the method of stationary phase, but presented in a way that allows the derivation of an alternate approximation method that has similar asymptotic behaviour, but with significantly greater accuracy. This approximation method does not require moments.

APA, Harvard, Vancouver, ISO, and other styles

23

Hsu, C. T., S. W. Chiang, and K. F. Sin. "A Novel Dynamic Quadrature Scheme for Solving Boltzmann Equation with Discrete Ordinate and Lattice Boltzmann Methods." Communications in Computational Physics 11, no. 4 (April 2012): 1397–414. http://dx.doi.org/10.4208/cicp.150510.150511s.

Full text

Abstract:

AbstractThe Boltzmann equation (BE) for gas flows is a time-dependent nonlinear differential-integral equation in 6 dimensions. The current simplified practice is to linearize the collision integral in BE by the BGK model using Maxwellian equilibrium distribution and to approximate the moment integrals by the discrete ordinate method (DOM) using a finite set of velocity quadrature points. Such simplification reduces the dimensions from 6 to 3, and leads to a set of linearized discrete BEs. The main difficulty of the currently used (conventional) numerical procedures occurs when the mean velocity and the variation of temperature are large that requires an extremely large number of quadrature points. In this paper, a novel dynamic scheme that requires only a small number of quadrature points is proposed. This is achieved by a velocity-coordinate transformation consisting of Galilean translation and thermal normalization so that the transformed velocity space is independent of mean velocity and temperature. This enables the efficient implementation of Gaussian-Hermite quadrature. The velocity quadrature points in the new velocity space are fixed while the correspondent quadrature points in the physical space change from time to time and from position to position. By this dynamic nature in the physical space, this new quadrature scheme is termed as the dynamic quadrature scheme (DQS). The DQS was implemented to the DOM and the lattice Boltzmann method (LBM). These new methods with DQS are therefore termed as the dynamic discrete ordinate method (DDOM) and the dynamic lattice Boltzmann method (DLBM), respectively. The new DDOM and DLBM have been tested and validated with several testing problems. Of the same accuracy in numerical results, the proposed schemes are much faster than the conventional schemes. Furthermore, the new DLBM have effectively removed the incompressible and isothermal restrictions encountered by the conventional LBM.

APA, Harvard, Vancouver, ISO, and other styles

24

Gedney, S. D. "On deriving a locally corrected nystrom scheme from a quadrature sampled moment method." IEEE Transactions on Antennas and Propagation 51, no. 9 (September 2003): 2402–12. http://dx.doi.org/10.1109/tap.2003.816305.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Donde, Pratik, Heeseok Koo, and Venkat Raman. "A multivariate quadrature based moment method for LES based modeling of supersonic combustion." Journal of Computational Physics 231, no. 17 (July 2012): 5805–21. http://dx.doi.org/10.1016/j.jcp.2012.04.031.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Legrain, Grégory. "Non-negative moment fitting quadrature rules for fictitious domain methods." Computers & Mathematics with Applications 99 (October 2021): 270–91. http://dx.doi.org/10.1016/j.camwa.2021.07.019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Huang, Qian, Shuiqing Li, and Wen-An Yong. "Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations." SIAM Journal on Applied Mathematics 80, no. 1 (January 2020): 206–31. http://dx.doi.org/10.1137/18m1231845.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Vikas, V., C. Yuan, Z. J. Wang, and R. O. Fox. "Modeling of bubble-column flows with quadrature-based moment methods." Chemical Engineering Science 66, no. 14 (July 2011): 3058–70. http://dx.doi.org/10.1016/j.ces.2011.03.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Chowdhary, K., M. Salloum, B. Debusschere, and V. E. Larson. "Quadrature Methods for the Calculation of Subgrid Microphysics Moments." Monthly Weather Review 143, no. 7 (July 1, 2015): 2955–72. http://dx.doi.org/10.1175/mwr-d-14-00168.1.

Full text

Abstract:

Abstract Many cloud microphysical processes occur on a much smaller scale than a typical numerical grid box can resolve. In such cases, a probability density function (PDF) can act as a proxy for subgrid variability in these microphysical processes. This method is known as the assumed PDF method. By placing a density on the microphysical fields, one can use samples from this density to estimate microphysics averages. In the assumed PDF method, the calculation of such microphysical averages has primarily been done using classical Monte Carlo methods and Latin hypercube sampling. Although these techniques are fairly easy to implement and ubiquitous in the literature, they suffer from slow convergence rates as a function of the number of samples. This paper proposes using deterministic quadrature methods instead of traditional random sampling approaches to compute the microphysics statistical moments for the assumed PDF method. For smooth functions, the quadrature-based methods can achieve much greater accuracy with fewer samples by choosing tailored quadrature points and weights instead of random samples. Moreover, these techniques are fairly easy to implement and conceptually similar to Monte Carlo–type methods. As a prototypical microphysical formula, Khairoutdinov and Kogan’s autoconversion and accretion formulas are used to illustrate the benefit of using quadrature instead of Monte Carlo or Latin hypercube sampling.

APA, Harvard, Vancouver, ISO, and other styles

30

Gilfanov, A. K., T. S. Zaripov, S. S. Sazhin, and O. Rybdylova. "An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling." Lobachevskii Journal of Mathematics 43, no. 8 (August 2022): 2107–17. http://dx.doi.org/10.1134/s1995080222110099.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Bruns, Morgan C., and Ofodike A. Ezekoye. "Development of a hybrid sectional quadrature-based moment method for solving population balance equations." Journal of Aerosol Science 54 (December 2012): 88–102. http://dx.doi.org/10.1016/j.jaerosci.2012.07.003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Marchisio, Daniele L., R. Dennis Vigil, and Rodney O. Fox. "Quadrature method of moments for aggregation–breakage processes." Journal of Colloid and Interface Science 258, no. 2 (February 2003): 322–34. http://dx.doi.org/10.1016/s0021-9797(02)00054-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Yuan, C., and R. O. Fox. "Conditional quadrature method of moments for kinetic equations." Journal of Computational Physics 230, no. 22 (September 2011): 8216–46. http://dx.doi.org/10.1016/j.jcp.2011.07.020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Patel, Ravi G., Olivier Desjardins, and Rodney O. Fox. "Three-dimensional conditional hyperbolic quadrature method of moments." Journal of Computational Physics: X 1 (January 2019): 100006. http://dx.doi.org/10.1016/j.jcpx.2019.100006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Lage, Paulo L. C. "The quadrature method of moments for continuous thermodynamics." Computers & Chemical Engineering 31, no. 7 (July 2007): 782–99. http://dx.doi.org/10.1016/j.compchemeng.2006.08.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Marchisio, Daniele L., Jesse T. Pikturna, Rodney O. Fox, R. Dennis Vigil, and Antonello A. Barresi. "Quadrature method of moments for population-balance equations." AIChE Journal 49, no. 5 (May 2003): 1266–76. http://dx.doi.org/10.1002/aic.690490517.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Vikas, V., Z. J. Wang, A. Passalacqua, and R. O. Fox. "Realizable high-order finite-volume schemes for quadrature-based moment methods." Journal of Computational Physics 230, no. 13 (June 2011): 5328–52. http://dx.doi.org/10.1016/j.jcp.2011.03.038.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Passalacqua, A., R. O. Fox, R. Garg, and S. Subramaniam. "A fully coupled quadrature-based moment method for dilute to moderately dilute fluid–particle flows." Chemical Engineering Science 65, no. 7 (April 2010): 2267–83. http://dx.doi.org/10.1016/j.ces.2009.09.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Lee, Jeongwon, and Yongmo Kim. "Transported PDF approach and direct-quadrature method of moment for modeling turbulent piloted jet flames." Journal of Mechanical Science and Technology 25, S1 (December 2011): 3259–65. http://dx.doi.org/10.1007/s12206-011-0933-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Jasor, Gary, Ulrike Wacker, Klaus Dieter Beheng, and Wolfgang Polifke. "Modeling artifacts in the simulation of the sedimentation of raindrops with a Quadrature Method of Moments." Meteorologische Zeitschrift 23, no. 4 (September 26, 2014): 369–85. http://dx.doi.org/10.1127/0941-2948/2014/0590.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Fox, Rodney O., Frédérique Laurent, and Aymeric Vié. "Conditional hyperbolic quadrature method of moments for kinetic equations." Journal of Computational Physics 365 (July 2018): 269–93. http://dx.doi.org/10.1016/j.jcp.2018.03.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Vikas, V., C. D. Hauck, Z. J. Wang, and R. O. Fox. "Radiation transport modeling using extended quadrature method of moments." Journal of Computational Physics 246 (August 2013): 221–41. http://dx.doi.org/10.1016/j.jcp.2013.03.028.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Xu, Yunjun, and Prakash Vedula. "A quadrature-based method of moments for nonlinear filtering." Automatica 45, no. 5 (May 2009): 1291–98. http://dx.doi.org/10.1016/j.automatica.2009.01.015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Gallant, A. Ronald, and George Tauchen. "Which Moments to Match?" Econometric Theory 12, no. 4 (October 1996): 657–81. http://dx.doi.org/10.1017/s0266466600006976.

Full text

Abstract:

We describe an intuitive, simple, and systematic approach to generating moment conditions for generalized method of moments (GMM) estimation of the parameters of a structural model. The idea is to use the score of a density that has an analytic expression to define the GMM criterion. The auxiliary model that generates the score should closely approximate the distribution' of the observed data but is not required to nest it. If the auxiliary model nests the structural model then the estimator is as efficient as maximum likelihood. The estimator is advantageous when expectations under a structural model can be computed by simulation, by quadrature, or by analytic expressions but the likelihood cannot be computed easily.

APA, Harvard, Vancouver, ISO, and other styles

45

Ilgun, A. D., R. O. Fox, and A. Passalacqua. "Solution of the first-order conditional moment closure for multiphase reacting flows using quadrature-based moment methods." Chemical Engineering Journal 405 (February 2021): 127020. http://dx.doi.org/10.1016/j.cej.2020.127020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Upadhyay, R. R., and O. A. Ezekoye. "Treatment of size-dependent aerosol transport processes using quadrature based moment methods." Journal of Aerosol Science 37, no. 7 (July 2006): 799–819. http://dx.doi.org/10.1016/j.jaerosci.2005.06.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Li, Dongyue, Zhipeng Li, and Zhengming Gao. "Quadrature-based moment methods for the population balance equation: An algorithm review." Chinese Journal of Chemical Engineering 27, no. 3 (March 2019): 483–500. http://dx.doi.org/10.1016/j.cjche.2018.11.028.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Mazzei, Luca. "Limitations of quadrature-based moment methods for modeling inhomogeneous polydisperse fluidized powders." Chemical Engineering Science 66, no. 16 (August 2011): 3628–40. http://dx.doi.org/10.1016/j.ces.2011.04.038.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Delyavskyy, Mykhaylo, Viktor Opanasovych, Roman Seliverstov, and Oksana Bilash. "A Symmetric Three-Layer Plate with Two Coaxial Cracks under Pure Bending." Applied Sciences 11, no. 6 (March 23, 2021): 2859. http://dx.doi.org/10.3390/app11062859.

Full text

Abstract:

The purpose of this research was to investigate the effect of mechanical features and geometrical parameters on the stress–strain state of a cracked layered plate under pure bending (bending moments are uniformly distributed at infinity). The sixth-order bending problem of an infinite, symmetric, three-layer plate with two coaxial through cracks is considered under the assumption of no crack closure. By using complex potentials and methods of the theory of functions of a complex variable, the solution to the problem was obtained in the form of a singular integral equation. It is reduced to the system of linear algebraic equations and solved in a numerical manner by the mechanical quadrature method. The distributions of stresses and bending moments near the crack tips are shown. Numerical results are presented as graphical dependences of the reduced moment intensity factor on various problem parameters. In this particular case, the optimum ratio of layer thicknesses is determined.

APA, Harvard, Vancouver, ISO, and other styles

50

Zipunova, Elizaveta Vyacheslavovna, and Anastasia Yurievna Perepelkina. "Development of Explicit and Conservative Schemes for Lattice Boltzmann Equations with Adaptive Streaming." Keldysh Institute Preprints, no. 7 (2022): 1–20. http://dx.doi.org/10.20948/prepr-2022-7.

Full text

Abstract:

The Lattice Boltzmann Method (LBM) has several limitations for velocity and temperature. One can consider distribution function in moving frame to overcome these limitations as in PonD. In PonD, values of distribution functions are streamed from off-lattice points, so value estimation is needed. It leads to the implicit and non-conservative numerical scheme. Earlier, for the one-dimensional case, the approach of moments prediction was found, which leads to an explicit and conservative numerical scheme. We apply this approach to the two-dimensional and three-dimensional cases in this work. Requirements to interpolation stencil, quadrature, and Hermite polynomial expansion which guarantee moment matching, conservation, and exact calculation, were studied. The resulting schemes were implemented and tested on several tasks.

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!