An FPGA Implementation of the Two-Dimensional FDTD Method and Its Performance Comparison with GPGPU

Abstract Stamping is one of the most used manufacturing processes, where real-time monitoring is quite difficult due to high speed of the mechanical press, which leads to deterioration of the accuracy of the products In the present work, a method is developed to model elastic waves propagation in solids to measure contact conditions between die and workpiece during stamping. A two-dimensional model is developed that reduces the wave propagation equations to two-dimensional equations. To simulate the wave propagation inside the die-workpiece model, the finite difference time domain (FDTD) method and modified Yee algorithm has been employed. The numerical stability of the wave propagation model is achieved through courant stability condition, i.e., Courant-Friedrichs-Lewy (CFL) number. Two cases, i.e., flat die-workpiece interface and inclined die-workpiece interface, are investigated in the present work. The elastic wave propagation is simulated with a two-dimension (2D) model of the die and workpiece using reflecting boundary conditions for different material properties. The experimental and simulation-based results of reflected and transmitted wave characteristics are compared for different materials in terms of reflected and transmitted wave height ratio and material properties such as acoustic impedance. It is found that the numerical simulation results are in good agreement with the experimental results.

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An Analytical Subdomain Model of Torque Dense Halbach Array Motors

Energies ◽

10.3390/en11123254 ◽

2018 ◽

Vol 11 (12) ◽

pp. 3254 ◽

Cited By ~ 1

Author(s):

Moadh Mallek ◽

Yingjie Tang ◽

Jaecheol Lee ◽

Taoufik Wassar ◽

Matthew A. Franchek ◽

...

Keyword(s):

Fourier Series ◽

Performance Comparison ◽

Magnetic Vector Potential ◽

Two Dimensional ◽

Computationally Efficient ◽

Element Analysis ◽

Halbach Array ◽

Proposed Model ◽

Separation Of Variable ◽

Electromagnetic Performance

A two-dimensional mathematical model estimating the torque of a Halbach Array surface permanent magnet (SPM) motor with a non-overlapping winding layout is developed. The magnetic field domain for the two-dimensional (2-D) motor model is divided into five regions: slots, slot openings, air gap, rotor magnets and rotor back iron. Applying the separation of variable method, an expression of magnetic vector potential distribution can be represented as Fourier series. By considering the interface and boundary conditions connecting the proposed regions, the Fourier series constants are determined. The proposed model offers a computationally efficient approach to analyze SPM motor designs including those having a Halbach Array. Since the tooth-tip and slots parameters are included in the model, the electromagnetic performance of an SPM motor, described using the cogging torque, back-EMF and electromagnetic torque, can be calculated as function of the slots and tooth-tips effects. The proposed analytical predictions are compared with results obtained from finite-element analysis. Finally, a performance comparison between a conventional and Halbach Array SPM motor is performed.

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Low numerical dispersion two-dimensional (2,4) ADI-FDTD method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2006.869940 ◽

2006 ◽

Vol 54 (3) ◽

pp. 1041-1044 ◽

Cited By ~ 5

Author(s):

M.K. Sun ◽

W.Y. Tam

Keyword(s):

Fdtd Method ◽

Numerical Dispersion ◽

Two Dimensional

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A Two-Dimensional Nonorthogonal WLP-FDTD Method for Eigenvalue Problems

IEEE Microwave and Wireless Components Letters ◽

10.1109/lmwc.2013.2278282 ◽

2013 ◽

Vol 23 (10) ◽

pp. 515-517

Author(s):

Wei-Jun Chen ◽

Wei Shao ◽

Jia-Lin Li ◽

Bing-Zhong Wang

Keyword(s):

Eigenvalue Problems ◽

Fdtd Method ◽

Two Dimensional

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Design and optimization of two dimensional photonic crystal based optical filter

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863515500277 ◽

2015 ◽

Vol 24 (03) ◽

pp. 1550027 ◽

Cited By ~ 10

Author(s):

G. Rajalakshmi ◽

A. Sivanantha Raja ◽

D. Shanmuga Sundar

Keyword(s):

Refractive Index ◽

Photonic Crystal ◽

Transmission Spectrum ◽

Filter Design ◽

Photonic Band Gap ◽

Fdtd Method ◽

Optical Filter ◽

Two Dimensional ◽

Dimensional Photonic Crystal ◽

Two Dimensional Photonic Crystal

In this paper, the channel drop filter based on two dimensional photonic crystal is proposed. The structure is made of silicon rods with the refractive index n1 = 3.4641 which are perforated in air with refractive index n2 = 1. The simulation results are obtained using 2D finite difference time domain (FDTD) method. The photonic band gap is calculated by plane wave expansion solver method. Resonant mode of the ring resonator and the filter transmission spectrum is calculated using 2D FDTD method. Full width half maximum (FWHM) bandwidth of the filter at the output transmission spectrum from 1.508 μm to 1.512 μm is 4 nm. The quality factor of the filter is 377.5 and the proposed filter design is around 21 × 15 μm which is suitable for photonic integrated circuits.

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