Documents published in Scipedia

• Numerical Simulation and Optimization of Grey Relational Analysis Models for Panel Data

  X. Liu, F. Jian, X. Tang

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 36

  
  

  Abstract

  The indicators-coupled grey relational analysis (ICGRA) models are important in clustering panel data with cross-sectional dependence. However, there is still little research on performance validation for the various ICGRA models. In this paper, we investigate the performance of the existing ICGRA models accounting for the reordering of indicators. Firstly, the robot execution failures (REF) dataset of the University of California Irvine (UCI) machine learning database is adopted to validate the robustness of four traditional ICGRA models. Then, we compared the grey relational orders for all arrangements of indicators in panel data. Simulation experiments showed that the four ICGRA models are not all robust against the grey relational order. To resolve this problem, we adopted the mean value theory and deep modeling to optimize the four models and compared them with the tetrahedral grey relational analysis (GRA) model that considers the coupling effect between indicators on the grey relational order, as well as with the k-nearest neighbor (KNN) algorithm. Results show that the classification accuracy of the averaged absolute GRA model was 97.73%, the other optimized ICGRA models and the k-nearest neighbor (KNN) method all achieved 100% accuracy, while the tetrahedral GRA model has an accuracy of 83.33%. Therefore, the average grey incidence degree for all arrangements of indicators and deep modeling significantly improves the stability of models and enhances the clustering accuracy in different cases.OPEN ACCESS Received: 09/12/2024 Accepted: 04/03/2025 Published: 30/06/2025

  Abstract
  The indicators-coupled grey relational analysis (ICGRA) models are important in clustering panel data with cross-sectional dependence. However, there is still little research [...]

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• Optimization of Support for Deeply Buried Diversion Tunnels with Bad Geology Based on MOMVO Algorithm

  M. Huang, L. Zhao, F. Yang, Y. Jiang

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 35

  
  

  Abstract

  During the construction of diversion tunnels, different support schemes exhibit varying stability conditions and entail distinct economic costs. To enhance the cost-effectiveness of tunnel support while ensuring its safety, a multi-objective optimization model has been developed for deeply buried diversion tunnels with bad geological conditions, enabling the execution of multi-objective optimization calculations regarding construction safety and economy. By considering the settlement of the vault and the cost of supporting materials as the objective function, a set of solution sets is computed using the multi-objective multi-verse algorithm (MOMVO), and subsequently, an optimal solution is obtained by integrating the entropy weight-technique for order preference by similarity to an ideal solution (TOPSIS) decision. The Luzhi River Tunnel of the Central Yunnan Water Diversion Project was selected as the subject of analysis to conduct support optimization calculations. The results demonstrate that, compared to the original design, there is an 8.16% reduction in the cost of support materials per linear meter. Although there is a 0.76% increase in settlement at the tunnel vault, it remains significantly below the safety critical value and aligns with project safety requirements. The proposed optimization method for tunnel support demonstrates remarkable efficacy, effectively reducing the cost of support materials while ensuring engineering safety. Moreover, it provides valuable technical support for optimizing the support system in water diversion tunnels.OPEN ACCESS Received: 07/11/2024 Accepted: 14/01/2025 Published: 30/06/2025

  Abstract
  During the construction of diversion tunnels, different support schemes exhibit varying stability conditions and entail distinct economic costs. To enhance the cost-effectiveness [...]

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• Fundamental Theorems and Wave Dynamics in Rotating Thermoelastic Diffusion with Multi-Phase Delays and Temperature-Dependent Properties

  S. Sharma, R. Kumar, H. Taha, A. El-Bary, K. Lofty

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 34

  
  

  Abstract

  The current study uses a novel mathematical formulation of temperaturedependent thermoelastic diffusion with multi-phase delays in a rotating frame of reference (TDMR). Higher order time derivatives are included for the diffusing mass flux, the gradient of chemical potential, the gradient of temperature, and the TDMR model of heat flow vector in Fourier’s and Fick’s laws. The fundamental theorems (energy, uniqueness, reciprocity, and variational criterion) are examined using the preliminary equations for the simulated model TDMR. Reciprocity theorem applications are taken for particular scenarios including body forces, heat sources, and chemical potential sources. It has been noted that the variational criteria and these theorems are mostly influenced by the field variables’ susceptibility and the variations in the parameters of higher-order temporal derivatives. The two-dimensional example of the assumed model’s planar wave propagation is also provided. Four connected longitudinal waves have been identified: the primary (P) wave, secondary (S) wave, thermal (T) wave, and chemical potential (CP) wave. Wave properties such as phase velocity and attenuation coefficient are estimated numerically and displayed visually. A few special examples are also investigated and connected with the established outcomes. This work provides a foundation for further research into basic issues in thermoelastic continua under various physical field factors. Numerous applications in material science, geomechanics, soil dynamics, and the electronic sector can be made of the current findings.OPEN ACCESS Received: 22/02/2025 Accepted: 11/04/2025 Published: 30/06/2025

  Abstract
  The current study uses a novel mathematical formulation of temperaturedependent thermoelastic diffusion with multi-phase delays in a rotating frame of reference (TDMR). Higher [...]

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• Simplified Electromagnetic Method for the Analytical Euclidean Modeling of Multiple Electrical Conductors in Arbitrary Directions

  D. Cardenas, S. Portugal, A. Chong

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 33

  
  

  Abstract

  The analytical modeling of electromagnetic fields generated by multiple current-carrying conductors is fundamental in power systems, electromagnetic compatibility, and transmission line analysis. Traditional analytical methods often assume conductors aligned with the coordinate system axes, limiting their applicability to arbitrary configurations. This paper presents a novel analytical approach that determines the exact electric and magnetic fields for multiple conductors oriented in arbitrary directions within a Euclidean space, assuming linear, homogeneous, and isotropic media. Unlike numerical methods, such as the Finite Element Method (FEM), which require extensive meshing and domain discretization, the proposed method directly computes field vectors without interpolation or artificial boundary conditions. The applicability of the method is evaluated through four case studies, demonstrating its effectiveness in various configurations, including power transmission lines, communication cables, and grounding systems in homogeneous isotropic media. Additionally, a comparative analysis is performed using a specific case with a known analytical solution, validating the method against FEM-based solvers such as ANSYS Maxwell and FEMM. The results confirm that the proposed approach achieves higher accuracy with significantly lower computational costs.OPEN ACCESS Received: 10/03/2025 Accepted: 09/06/2025 Published: 30/06/2025

  Abstract
  The analytical modeling of electromagnetic fields generated by multiple current-carrying conductors is fundamental in power systems, electromagnetic compatibility, and transmission [...]

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• Bidirectional Fluid-Structure Coupling Analysis of Steering Tool Performance with Spring Stress Consideration

  X. Zhou, Y. Peng, W. Cheng, Y. Xue, H. Fang

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 32

  
  

  Abstract

  This paper investigates the automatic steering tool in the integrated injection-production tubing string and proposes an analysis method for bidirectional fluid-structure coupling problems, incorporating spring stress accumulation. The pre-stress field feature in ABAQUS software is used to model the variation in leaf spring stress. A ball valve acts as an intermediary, and FLUENT software is employed to simulate the transfer of forces between the flow field and the ball valve’s motion. The results indicate that the transition response time from steam injection to oil production under the designed operating conditions is approximately 0.0787 s. The motion path of the ball valve aligns with expectations, exhibiting stable movement. Additionally, an indoor simulation of the steering tool’s opening and closing performance was conducted, with high-speed cameras used for experimental validation. The simulation and experimental results show a discrepancy of less than 15%, confirming the accuracy of the numerical model and providing theoretical support for the practical application of integrated injection-production tubing string technology.OPEN ACCESS Received: 06/11/2024 Accepted: 01/04/2025 Published: 30/06/2025

  Abstract
  This paper investigates the automatic steering tool in the integrated injection-production tubing string and proposes an analysis method for bidirectional fluid-structure [...]

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• Numerical Investigations of Fractional Complex Coupled Maccari and Cahn-Hilliard Equations Using Controlled Picard Iteration with ρ-Laplace Transform

  N. Raza, Z. Khalid, Y. Chahlaoui, M. Farman, E. Hincal

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 31

  
  

  Abstract

  This article presents a semi-analytical approach to address two nonlinear evolution equations: the fractional complex coupled Maccari system and the fractional Cahn-Hilliard equation. These mathematical models encapsulate essential concepts such as non-locality and memory, making them applicable in signal and image processing. The proposed method utilizes the controlled Picard framework combined with theρ-Laplace transform. The recommended approach eliminates the necessity for traditional techniques, such as Lagrange multipliers and Adomian expansions, by integrating the controlled Picard method with theρ-Laplace transformation. Additionally, a minimal parameter, ¯h, has been introduced to improve the convergence of the system under investigation. The results have been validated against exact solutions, and absolute error analyses support the accuracy of the proposed approach. The article includes 2D and 3D plots to illustrate how results vary with different parameters. In conclusion, this paper demonstrates that our method is explicit and efficiently executable.OPEN ACCESS Received: 25/03/2025 Accepted: 07/05/2025 Published: 30/05/2025

  Abstract
  This article presents a semi-analytical approach to address two nonlinear evolution equations: the fractional complex coupled Maccari system and the fractional Cahn-Hilliard [...]

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• Investigation of the Effect of Harmonics Caused by Transformer-Induced Nonlinear Loads on Electrical Energy

  S. Rüstemli, N. Sezgin, B. Coskun, G. Sahin

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 30

  
  

  Abstract

  In this study, distribution transformers in the Mu¸s Alparslan University campus are analyzed in order to minimize energy losses due to harmonics in the electrical network. Current and voltage harmonics, which are the power quality problems of these transformers, are analyzed. The power quality of different transformers in Mu¸s Alparslan University was measured with a Chauvin Arnoux CA:8331 energy analyzer. Three-phase nonlinear load models were created using current harmonic values in the Matlab/Simulink environment. A parallel active power filter is designed in the Matlab/Simulink environment to eliminate current harmonics. The performance of the parallel active power filter is analyzed for each transformer. As a result, the total harmonic distortion (THDI) ratio for the current decreased from 6.78% to 1.38% in fast Fourier transform analyses after the parallel active power filter was activated in the first transformer. Similarly, the THDI ratio decreased from 5.1% to 2.19% in the second transformer, from 4.5% to 1.39% in the third transformer, and from 5.63% to 1.36% in the fourth transformer.OPEN ACCESS Received: 20/02/2025 Accepted: 15/04/2025 Published: 30/05/2025

  Abstract
  In this study, distribution transformers in the Mu¸s Alparslan University campus are analyzed in order to minimize energy losses due to harmonics in the electrical network. [...]

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• Vectorization for Tower Sketches Using Large Model and Deep Learning

  Z. Tang, C. Han, H. Li, Z. Fan, K. Sun, Y. Huang, Z. Xu, C. Wang

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. Online First, 29

  
  

  Abstract

  Background:3D modeling of transmission towers from hand-drawn sketches is occasionally needed in the exploration stage, construction stage, or operation of transmission lines. To achieve automatic 3D modeling, extracting standard vectors from the sketches is very important, however, this is still lacking for real applications. Methods: In this article, we propose a method for automatically converting the hand-drawn design drawings of a tower into standard vector diagrams. The network ControlNet is introduced to control the image generation model Stable Diffusion, to convert hand-drawn sketches into standard line-structural diagrams. Then, a vectorization network is used to vectorize the line structure, and some designed optimization modules are proposed to refine the vector extraction results. Results: Experiments prove that our method can output the most accurate and robust vectorization results compared with some state-of-the-art methods. Conclusion: The proposed method is automatic and does not need manual operations, which can bring convenience for the intelligent design and modeling of transmission towers. Furthermore, it can also provide technical support for developing relevant digital products for the smart grid.OPEN ACCESS Received: 31/10/2024 Accepted: 13/02/2025 Published: 30/05/2025

  Abstract
  Background:3D modeling of transmission towers from hand-drawn sketches is occasionally needed in the exploration stage, construction stage, or operation of transmission lines. [...]

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• Exploring the Flow Dynamics of MHD Hybrid Nanofluid over a Non-Flat Porous Surface Using Neural Network Approach

  H. Upreti, A. Pandey, T. Gupta

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 28

  
  

  Abstract

  T he current work examined the heat transfer performance of TiO2 Al2O3/kerosene oil flowing over a permeable non-flat plate. The energy equation is modeled using Fourier’s law, and heating is supported by Joule heating and nonlinear thermal radiation. Moreover, the momentum equation is extended with mixed convection, magnetic field, and porous medium. We applied an artificial neural network (ANN) to the data obtained from the bvp4c solver to show the significance of AI techniques in predicting skin friction coefficient (SFC) and local Nusselt number (LNN) values. The ANN is developed with the Levenberg-Marquardt backpropagation algorithm to predict the values precisely, and its signif icance is assessed in terms of mean square error (MSE) between values obtained by the bvp4c solver and the predicted value neural network. T heoutcomes revealed that the heat transfer rate decayed with the rise in variable thermal conductivity. Moreover, when increasing the magnitude of the mixedconvectionparameter,thefluidvelocity constantly increases.

  Abstract
  T he current work examined the heat transfer performance of TiO2 Al2O3/kerosene oil flowing over a permeable non-flat plate. The energy equation is modeled using Fourier’s [...]

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• Stability and Chaotic Analysis of Nonlinear Fractional Model Using Novel Analytical Technique: Soliton Solutions for Wazwaz Kaur Boussinesq Equation

  A. Mumtaz, M. Shakeel, A. Manan, N. Shah

  Rev. int. métodos numér. cálc. diseño ing. (2025). Vol. 41, (2), 27

  
  

  Abstract

  This study examines the exact solutions of the nonlinear WazwazKaur Boussinesq (NLWKB) equation in (2+ 1)-dimension by using a novel modified (G /G2)-expansion method. This examination uses BetaDerivative, M-Truncated and Conformable derivatives for finding new closed-form soliton solutions. The graphic demonstration covers some of these solutions. These visualized graphs show individual W-type, bright, and dark solitons to emphasize the effect of fractional derivatives on the behavior of waves. Furthermore, the study investigates the bifurcation analysis, chaotic dynamics, multistability, and Poincaré maps to describe the stability transitions of the system. The results illustrate how fractional calculus improves soliton modeling and nonlinear wave propagation, with possible applications in plasma physics, optical fiber communications, ion-acoustic, magneto-sound, and stationary media, and wave dynamics in complex media, and the transmission of tidal and tsunami waves. The proposed method proves to be a powerful method for solving nonlinear fractional models and examining their dynamic behavior.OPEN ACCESS Received: 12/02/2025 Accepted: 15/04/2025 Published: 30/05/2025

  Abstract
  This study examines the exact solutions of the nonlinear WazwazKaur Boussinesq (NLWKB) equation in (2+ 1)-dimension by using a novel modified (G /G2)-expansion method. This [...]

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