Massively Parallel Discontinuous Galerkin Surface Integral Equation Method for Solving Large-Scale Electromagnetic Scattering Problems

Liu, Rui‐Qing; Huang, Xiao-Wei; Du, Yang; Yang, Ming‐Lin; Sheng, Xin‐Qing

doi:10.1109/tap.2021.3078558

Cited by 14 publications

(5 citation statements)

References 18 publications

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“…[23][24][25] Nowadays, MLFMA has been widely used in analyzing electrically large problems such as aircraft scattering. [26][27][28][29]…”

Section: Methodsmentioning

confidence: 99%

Investigations on electromagnetic scattering characteristics of aircraft rudder considering electromagnetic discontinuities

Gu,

Chen,

Gao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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This work investigates the scattering characteristics of the rudder structure of aircraft considering electromagnetic discontinuities through multi level fast multipole algorithm (MLFMA) of the computational electromagnetics. Firstly, the scattering characteristics of the rudder seam and its influence on the omnidirectional radar cross section (RCS) are performed. Based on the traditional high-frequency analysis theory, the source and spatial contribution distribution of seam scattering are further studied. Numerical results demonstrate that the sidewall of the rudder seam is an important scattering source, and the radar absorbing material (RAM) coated on the sidewall of the seam has a good RCS reduction effect. In addition, this work presents the influence of the rudder deflection on the stealth performance, analyzes the effect of the rudder movement of the ordinary aileron and the split drag rudder on the scattering characteristics of the whole aircraft. The common aileron has little effect on the stealth performance of the aircraft, and it only causes scattering peak in the direction opposite to the control surface. However, the split drag rudder has great damage to the opposite direction stealth performance of the aircraft. When its deflection angle is 45°, the mean value of the opposite direction RCS increases by about two orders of magnitude compared with the deflection angle 0° state. The results indicate that the structure of aircraft rudder has a significant impact on the RCS characteristics of the whole aircraft.

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“…[23][24][25] Nowadays, MLFMA has been widely used in analyzing electrically large problems such as aircraft scattering. [26][27][28][29]…”

Section: Methodsmentioning

confidence: 99%

Investigations on electromagnetic scattering characteristics of aircraft rudder considering electromagnetic discontinuities

Gu,

Chen,

Gao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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show abstract

“…As computer technology and numerical algorithms [26][27][28][29][30][31][32][33][34][35] continue to evolve, more efficient methods for studying the electromagnetic scattering characteristics of complex composite scenes have emerged. Rapid algorithms, such as "fast multipole algorithm" and "extended boundary condition method," have greatly improved the calculation efficiency and accuracy of electromagnetic scattering, thus becoming a hot research topic.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The method better handles the complex shape and material of the target. [33] proposes a method based on the discontinuous Galerkin surface integral equation to handle largescale electromagnetic scattering problems. The method better handles the target's complex structure, improving computation efficiency and accuracy.…”

Section: Literature Reviewmentioning

confidence: 99%

Fast Coupling Iterative Algorithm for Media Rough Surface with Multiple Targets Below

Lei

2024

ACES Journal

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This paper proposes a fast mutual coupling iteration algorithm for analyzing the composite electromagnetic scattering characteristics of a Gaussian rough surface with multiple targets below it. Firstly, an electromagnetic scattering model of Gaussian rough surface with multiple targets underneath is established. To improve the efficiency of electromagnetic scattering calculations, the (banded matrix iterative approach canonical grid - conjugate gradient method (BMIA/CAG-CMG) algorithm is used to calculate the surface scattering of the rough surface, while for the scattering of the targets, the traditional numerical algorithm moment of methods (MoM) is used for the calculation. Its main acceleration principle is to decompose the matrix into banded and Toeplitz matrices during the solution process, and then use fast Fourier transform (FFT) for fast solution based on their characteristics. By comparing the calculation results of this algorithm with those of the MoM algorithm, the correctness of this algorithm is verified. Several examples are studied, and the impact of different parameters on the surface current and composite scattering characteristics is discussed, which have important significance for deepening the understanding of scattering characteristics in complex electromagnetic environments.

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“…The edges can also be partitioned among processes accordingly, as well as the near-field matrix. When the mesh is highly nonuniform, the near-field related calculation should be adjusted by partitioning edges among MPI processes in a different way from the far interaction to achieve a better workload balance [31]. At the lowest level, point-to-point communication is conducted to switch near and far-field partition patterns in each iterative solution step.…”

Section: Ternary Parallelizationmentioning

confidence: 99%

“…Using this ternary strategy, together with the auxiliary-tree-based parallel mesh refinement technique and a hybrid octree storage strategy, electromagnetic scattering by extremely large objects with dimensions exceeding 10 thousand wavelengths and over 10 billion unknowns was solved, representing the largest number of unknowns to be solved and publicly reported via MLFMA to date. The ternary parallelization approach was further developed by incorporating a discontinuous Galerkin (DG) framework [31] and later extended to accelerate the solution of the DG-based self-dual integral equation method for objects with impedance boundary conditions (IBCs) [32].…”

Section: Introductionmentioning

confidence: 99%

Massively Parallel Multilevel Fast Multipole Algorithm for Extremely Large-Scale Electromagnetic Simulations: A Review

He¹,

Huang²,

Yang³

et al. 2022

PIER

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Since the first working multilevel fast multipole algorithm (MLFMA) for electromagnetic simulations was proposed by Chew's group in 1995, this algorithm has been recognized as one of the most powerful tools for numerical solutions of extremely large electromagnetic problems with complex geometries. It has been parallelized with different strategies to explore the computing power of supercomputers, increasing the size of solvable problems from millions to tens of billions of unknowns, thereby addressing the crucial demand arising from practical applications in a sense. This paper provides a comprehensive review of state-of-the-art parallel approaches of the MLFMA, especially on a newly proposed ternary parallelization scheme and its acceleration on graphics processing unit (GPU) clusters. We discuss and numerically study the advantages of the ternary parallelization scheme and demonstrate its flexibility and efficiency.

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Massively Parallel Discontinuous Galerkin Surface Integral Equation Method for Solving Large-Scale Electromagnetic Scattering Problems

Cited by 14 publications

References 18 publications

Investigations on electromagnetic scattering characteristics of aircraft rudder considering electromagnetic discontinuities

Investigations on electromagnetic scattering characteristics of aircraft rudder considering electromagnetic discontinuities

Fast Coupling Iterative Algorithm for Media Rough Surface with Multiple Targets Below

Massively Parallel Multilevel Fast Multipole Algorithm for Extremely Large-Scale Electromagnetic Simulations: A Review

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