Novel time-domain asymptotic-numerical solution for forward transient scattered magnetic field from a coated metal cylinder

Purpose – The purpose of the paper is to introduce a perfectly matched layer (PML) absorber, based on Berenger's split field PML, to the recently proposed low-dispersion precise integration time domain method using a fourth-order accurate finite difference scheme (PITD(4)). Design/methodology/approach – The validity and effectiveness of the PITD(4) method with the inclusion of the PML is investigated through a two-dimensional (2-D) point source radiating example. Findings – Numerical results indicate that the larger time steps remain unchanged in the procedure of the PITD(4) method with the PML, and meanwhile, the PITD(4) method employing the PML is of the same absorbability as that of the finite-difference time-domain (FDTD) method with the PML. In addition, it is also demonstrated that the later time reflection error of the PITD(4) method employing the PML is much lower than that of the FDTD method with the PML. Originality/value – An efficient application of PML in fourth-order precise integration time domain method for the numerical solution of Maxwell's equations.

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Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

Computer Optics ◽

10.18287/2412-6179-2019-43-3-385-390 ◽

2019 ◽

Vol 43 (3) ◽

pp. 385-390

Author(s):

D.A. Fadeev

Keyword(s):

Numerical Simulation ◽

Cauchy Problem ◽

Finite Difference ◽

Numerical Solution ◽

Time Domain ◽

Finite Difference Time Domain ◽

Regular Triangulation ◽

Graphical Processing Units ◽

Graphical Processing ◽

Difference Time

We present a generalization of standard leap-frog plus Yee mesh approach for Cauchy problem in electrodynamics simulations on unstructured triangulated mesh. The presented approach still inherits from finite-difference time-domain and do not use techniques developed in finite-volume time-domain approach. In the paper the whole flow from mesh creation to actual simulation is presented. The proposed computation flow is parallel ready and can be implemented for distributed systems (computation servers, graphical processing units, etc.). We studied the influence of non-regular triangulation on stability and dispersion properties of numerical solution.

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Time-Domain Parallel Finite-Element Method for Fast Magnetic Field Analysis of Induction Motors

IEEE Transactions on Magnetics ◽

10.1109/tmag.2013.2245114 ◽

2013 ◽

Vol 49 (5) ◽

pp. 2413-2416 ◽

Cited By ~ 18

Author(s):

Yasuhito Takahashi ◽

Tadashi Tokumasu ◽

Masafumi Fujita ◽

Takeshi Iwashita ◽

Hiroshi Nakashima ◽

...

Keyword(s):

Magnetic Field ◽

Finite Element Method ◽

Finite Element ◽

Time Domain ◽

Induction Motors ◽

Field Analysis ◽

Magnetic Field Analysis ◽

Parallel Finite Element ◽

Element Method

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Numerical and Statistical Analysis of Dissipative and Heat Absorbing Graphene Maxwell Nanofluid Flow Over a Stretching Sheet

Journal of Nanofluids ◽

10.1166/jon.2021.1808 ◽

2021 ◽

Vol 10 (4) ◽

pp. 600-607

Author(s):

A. Bhattacharyya ◽

R. Sharma ◽

M. K. Mishra ◽

Ali J. Chamkha ◽

E. Mamatha

Keyword(s):

Magnetic Field ◽

Nusselt Number ◽

Numerical Solution ◽

Physical Parameters ◽

Nonlinear Mathematical Model ◽

Nanofluid Flow ◽

Maxwell Nanofluid ◽

Highly Nonlinear ◽

Numeric Data ◽

The Magnetic Field

This paper is basically devoted to carry out an investigation regarding the unsteady flow of dissipative and heat absorbing hydromagnetic graphene Maxwell nanofluid over a linearly stretched sheet taking momentum and thermal slip conditions into account. Ethylene glycol is selected as a base fluid while graphene particles are considered as nanoparticles. The highly nonlinear mathematical model of the problem is converted into a set of nonlinear coupled differential equations by means of fitting similarity variables. Further, Runge-Kutta Fehlberg algorithms along with the shooting scheme are instigated to analyse the numerical solution. The variations in graphene Maxwell nanofluid velocity and temperature owing to different physical parameters have been demonstrated via numerous graphs whereas Nusselt number and skin friction coefficients are illustrated in numeric data form and are reported in different tables. In addition, a statistical method is implemented for multiple quadratic regression estimation analysis on the numerical figures of wall velocity gradient and local Nusselt number to establish the connection among heat transfer rate and physical parameters. Our numerical findings reveal that the magnetic field, unsteadiness, inclination angle of magnetic field and porosity parameters boost the graphene Maxwell nanofluid velocity while Maxwell parameter has a reversal impact on it. The regression analysis confers that Nusselt number is more prone to heat absorption parameter as compared to Eckert number. Finally, the numerical findings are compared with those of earlier published articles under restricted conditions to validate the numerical solution. The comparison of numerical findings shows an excellent conformity among the results.

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