Benchmarks of Cuda-Based GMRES Solver for Toeplitz and Hankel Matrices and Applications to Topology Optimization of Photonic Components

Minin, Iu.B.; Matveev, S. A.; Fedorov, Maxim V.; Zacharov, I.; Rykovanov, S. G.

doi:10.1007/s10598-022-09545-2

Cited by 5 publications

(2 citation statements)

References 27 publications

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“…One has been done was by using the accelerated projection-based consensus. 17 Other methods, by utilizing the parallel iterative methods, for instance, such as by Sultanov et al, 18 Ma et al, 19 and Anzt et al 20 The recent parallel works on GMRES running on NVIDIA GPGPU accelerator for solving systems of linear equations based on the sparse matrices, were discussed by Minin et al 21…”

Section: Resultsmentioning

confidence: 99%

Hybrid Lanczos-switching models for solving large linear systems and their parallel versions

Bakar

Thalib

Pratama

et al. 2023

Journal of Algorithms & Computational Technology

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Lanczos iterative methods for solving a large sparse linear systems typically face the latent breakdown which strikes every time these methods are deployed. A number of approaches to deal with this issue have been investigated. One of them is by switching between the solvers preemptively breakdown. However, the problem is not fully solved yet. Here, we propose switching models combined with particular Lanczos iterative methods. The first model is by using the last iterate as the switching point with an unlimited number of iterations, the second model is by using the iterate with the minimum residual norm as the initial point and the third model is by using the iterate with the minimum of minimum residual norms as the switching point. These three models lead algorithms of SLULast, SLUMinRes, and SLUMoM, respectively. The parallel version of the proposed algorithms is also provided to speed up their convergence. In this case, we constructed the parallel of SLUMoM and we call it pSLUMoM. The numerical results showed that our switching models performed better than the existing switching strategy in terms of robustness and efficiency. In fact, under a parallel framework, pSLUMoM showed a performance gain of up to 50% in our experiments.

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Section: Resultsmentioning

confidence: 99%

Hybrid Lanczos-switching models for solving large linear systems and their parallel versions

Bakar

Thalib

Pratama

et al. 2023

Journal of Algorithms & Computational Technology

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“…In this context, topology optimization (TO) methods represent the most adopted design tool. They allow one to obtain the best material distribution within a given design space, fixing the problem conditions (loads and constraints), to meet a predefined set of performance objectives [7][8][9][10][11][12][13][14]. The possibility of combining AM techniques with topology optimization represents a convenient choice because of the great geometrical freedom, combined with minimum attention to fabrication constraints, that can be provided by this manufacturing process [15,16].…”

Section: Introductionmentioning

confidence: 99%

Improving Aeromechanical Performance of Compressor Rotor Blisk with Topology Optimization

Bandini,

Cascino,

Meli

et al. 2024

Energies

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When it comes to modern design of turbomachinery, one of the most critical objectives is to achieve higher efficiency and performance by reducing weight, fuel consumption, and noise emissions. This implies the need for reducing the mass and number of the components, by designing thinner, lighter, and more loaded blades. These choices may lead to mechanical issues caused by the fluid–structure interaction, such as flutter and forced response. Due to the periodic aerodynamic loading in rotating components, preventing or predicting resonances is essential to avoid or limit the dangerous vibration of the blades; thus, simulation methods are crucial to study such conditions during the machine design. The purpose of this paper is to assess a numerical approach based on a topology optimization method for the innovative design of a compressor rotor. A fluid-structural optimization process has been applied to a rotor blisk which belongs to a one-and-a-half-stage aeronautical compressor including static and dynamic loads coming from blade rotation and fluid flow interaction. The fluid forcing is computed by some CFD TRAF code, and it is processed via time and space discrete Fourier transform to extract the pressure fluctuation components in a cyclic-symmetry environment. Finally, a topological optimization of the disk is performed, and the encouraging results are presented and discussed. The remarkable mass reduction in the component (≈32%), the mode-shape frequency shift from a fluid forcing frequency, and an overall relevant reduction in the dynamic response around Campbell’s crossing confirm the efficacy of the presented methodology.

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Fast and Efficient Method to Calculate Electric Fields as Applied to Topology Optimization of Microdevices

Minin

2023

J. Commun. Technol. Electron.

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Benchmarks of Cuda-Based GMRES Solver for Toeplitz and Hankel Matrices and Applications to Topology Optimization of Photonic Components

Cited by 5 publications

References 27 publications

Hybrid Lanczos-switching models for solving large linear systems and their parallel versions

Hybrid Lanczos-switching models for solving large linear systems and their parallel versions

Improving Aeromechanical Performance of Compressor Rotor Blisk with Topology Optimization

Fast and Efficient Method to Calculate Electric Fields as Applied to Topology Optimization of Microdevices

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