The Experts below are selected from a list of 16008 Experts worldwide ranked by ideXlab platform
Mingzhou Yu - One of the best experts on this subject based on the ideXlab platform.
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Taylor Series Expansion scheme applied for solving population balance equation
Reviews in Chemical Engineering, 2018Co-Authors: Mingzhou YuAbstract:Abstract Population balance equations (PBE) are widely applied to describe many physicochemical processes such as nanoparticle synthesis, chemical processes for particulates, colloid gel, aerosol dynamics, and disease progression. The numerical study for solving the PBE, i.e. population balance modeling, is undergoing rapid development. In this review, the application of the Taylor Series Expansion scheme in solving the PBE was discussed. The theories, implement criteria, and applications are presented here in a universal form for ease of use. The aforementioned method is mathematically economical and applicable to the combination of fine-particle physicochemical processes and can be used to numerically and pseudo-analytically describe the time evolution of statistical parameters governed by the PBE. This article summarizes the principal details of the method and discusses its application to engineering problems. Four key issues relevant to this method, namely, the optimization of type of moment sequence, selection of Taylor Series Expansion point, optimization of an order of Taylor Series Expansion, and selection of terms for Taylor Series Expansion, are emphasized. The possible direction for the development of this method and its advantages and shortcomings are also discussed.
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Hybrid method of moments with interpolation closure–Taylor-Series Expansion method of moments scheme for solving the Smoluchowski coagulation equation
Applied Mathematical Modelling, 2017Co-Authors: Mingzhou YuAbstract:Abstract This paper presents a hybrid method of moments with interpolation closure–Taylor-Series Expansion method of moments (MoMIC–TEMoM) scheme for solving the Smoluchowski coagulation equation. In the proposed scheme, the exponential function, which arises in the conversion from a particle size distribution space to a space of moments, is expressed in an additive form using the third-order Taylor-Series Expansion; the implicit moments are approximated using two Lagrange interpolation functions, namely the newly defined normalized moment function and the normalized moment function defined by Frenklach and Harris (1987). The new hybrid scheme allows implementation of the method of moments with an arbitrary type of moment sequence, and it overcomes the shortcomings of the Taylor-Series Expansion moment method proposed by Frenklach and Harris. The proposed scheme is verified with three aerosol dynamics, namely Brownian coagulation in the free molecular regime, Brownian coagulation in the continuum-slip regime, and turbulence coagulation. The results reveal that the hybrid MoMIC–TEMoM scheme has similar accuracy to currently recognized methods including the quadrature method of moments, MoMIC, and TEMoM, and its accuracy can be further enhanced as the fractional moment sequence type is used for Brownian coagulation in the free molecular regime. Thus, the proposed scheme is a reliable for solving the Smoluchowski coagulation equation.
Jhih-chung Chang - One of the best experts on this subject based on the ideXlab platform.
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Combining genetic algorithm and Taylor Series Expansion approach for DOA estimation in space-time CDMA systems
Applied Soft Computing, 2015Co-Authors: Jhih-chung ChangAbstract:A MVDR approach based on Taylor Series Expansion technique is presented for efficient DOA estimation.The space-time technique achieves a better performance for a single signal source.Combining GA and TMVDR achieve high accuracy and fast convergence. This paper deals with direction-of-arrival (DOA) estimation of minimum variance distortionless response (MVDR) approach based on Taylor Series Expansion (TSE) technique for space-time code-division multiple access (CDMA) systems. It has been shown that the TSE of the presumed steering vector is a simple approach without any need for direction search. Unfortunately, the Taylor approach is more likely to converge to a local maximum, causing errors in DOA estimation. In conjunction with a genetic algorithm for selecting initial search angle, an efficient approach is presented to achieve the advantages of TSE DOA estimation with fast convergence and less computational load over iterative searching MVDR estimator. Simulation results are provided for illustrating the effectiveness of the proposed approach.
Felix Sadyrbaev - One of the best experts on this subject based on the ideXlab platform.
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The Taylor Series Expansion coefficients for solutions of the Emden‐Fowler type equations
Mathematical Modelling and Analysis, 2010Co-Authors: Armands Gritsans, Felix SadyrbaevAbstract:Abstract We present the explicit non‐recursive formulas for the Taylor Series Expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,…
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THE Taylor Series Expansion COEFFICIENTS FOR SOLUTIONS OF THE EMDEN‐FOWLER TYPE EQUATIONS
Mathematical Modelling and Analysis, 2005Co-Authors: Armands Gritsans, Felix SadyrbaevAbstract:We present the explicit non‐recursive formulas for the Taylor Series Expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,… Pateikiamos vadinamos Emdeno‐Faulerio lygties x” = –nx 2n−1 pradinio uždavinio x(0) = 0, x‘(0) = 1,(n = 1,2,…) sprendiniu Sn (t) Teiloro eilute koeficientu išreikštines formules. Jos yra nerekursyvine.
Changjhih-chung - One of the best experts on this subject based on the ideXlab platform.
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Combining genetic algorithm and Taylor Series Expansion approach for DOA estimation in space-time CDMA systems
Applied Soft Computing, 2015Co-Authors: Changjhih-chungAbstract:A MVDR approach based on Taylor Series Expansion technique is presented for efficient DOA estimation.The space-time technique achieves a better performance for a single signal source.Combining GA a...
Y. T. Chew - One of the best experts on this subject based on the ideXlab platform.
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NUMERICAL SIMULATION OF FLOWS PAST A ROTATIONAL CIRCULAR CYLINDER BY Taylor-Series-Expansion AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD
International Journal of Modern Physics C, 2005Co-Authors: Kun Qu, Y. T. ChewAbstract:An explicit Taylor Series Expansion and least square-based lattice Boltzmann method (TLLBM) is used to simulate the two-dimensional unsteady viscous incompressible flows. TLLBM is based on the well-known Taylor Series Expansion and the least square optimization. It has no limitation on mesh structure and lattice model. Its marching in time is accurate. Therefore, it is very suitable for simulation of time dependent problems. Numerical experiments are performed for simulation of flows past a rotational circular cylinder. Good agreement is achieved between the present results and available data in the literature.
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Taylor Series Expansion- and least square-based Lattice Boltzmann method: an efficient approach for simulation of incompressible viscous flows
Progress in Computational Fluid Dynamics An International Journal, 2005Co-Authors: C. Shu, Yan Peng, X. D. Niu, Y. T. ChewAbstract:The Taylor Series Expansion- and least-square-based Lattice Boltzmann method (TLLBM) is a flexible Lattice Boltzmann approach capable of simulating incompressible viscous flows with arbitrary geometry. The method is based on the standard Lattice Boltzmann equation (LBE), Taylor Series Expansion and the least square optimisation. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Successful applications of isothermal and thermal incompressible viscous flows have shown that the TLLBM is an efficient and promising version of LBM. In this paper, we will give the details of TLLBM and present some examples of its application.
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SIMULATION OF NATURAL CONVECTION BY Taylor Series Expansion- AND LEAST SQUARE-BASED LBM
International Journal of Modern Physics B, 2003Co-Authors: Yan Peng, Y. T. ChewAbstract:The Taylor Series Expansion- and least squares- based lattice Boltzmann method (TLLBM) is used in this paper to extend the internal energy density distribution function (IEDDF) thermal model to be used on the arbitrary geometry in order to solve practical thermo-hydrodynamics in incompressible limit. The TLLBM essentially has no limitation on the mesh structure and the lattice model. Its use in the thermal model was validated by the numerical simulation of natural convection in a square cavity. Then its application on the curved boundary, natural convection in concentric annuli, was carried out. Favorable results were obtained and compared well with the benchmark data.
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Taylor Series Expansion AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD: THREE-DIMENSIONAL FORMULATION AND ITS APPLICATIONS
International Journal of Modern Physics C, 2003Co-Authors: C. Shu, X. D. Niu, Y. T. ChewAbstract:The two-dimensional form of the Taylor Series Expansion- and least square-based lattice Boltzmann method (TLLBM) was recently presented by Shu et al.8 TLLBM is based on the standard lattice Boltzmann method (LBM), Taylor Series Expansion and the least square optimization. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. In this paper, TLLBM is extended to the three-dimensional case. The resultant form keeps the same features as the two-dimensional one. The present form is validated by its application to simulate the three-dimensional lid-driven cavity flow at Re=100, 400 and 1000. Very good agreement was achieved between the present results and those of Navier–Stokes solvers.
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SIMULATION OF NATURAL CONVECTION IN A SQUARE CAVITY BY Taylor Series Expansion- AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD
International Journal of Modern Physics C, 2002Co-Authors: Yan Peng, Y. T. ChewAbstract:The Taylor Series Expansion- and least squares-based lattice Boltzmann method (TLLBM) was used in this paper to extend the current thermal model to an arbitrary geometry so that it can be used to solve practical thermo-hydrodynamics in the incompressible limit. The new explicit method is based on the standard lattice Boltzmann method (LBM), Taylor Series Expansion and the least squares approach. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Numerical simulations of natural convection in a square cavity on both uniform and nonuniform grids have been carried out. Favorable results were obtained and compared well with the benchmark data. It was found that, to get the same order of accuracy, the number of mesh points used on the nonuniform grid is much less than that used on the uniform grid.
