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Mathematics
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Numerical and Computational Methods in Engineering
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Numerical and Computational Methods in Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 1161

Special Issue Editor

Prof. Dr. Qinghe Yao

E-Mail Website
Guest Editor
School of Aeronautics and Astronautics, Sun Yat-sen University, Guangzhou 510275, China
Interests: numerical-driven efficient parallel solution algorithm; multi-field coupling high-fidelity numerical models; large-scale computational mechanics algorithm engineering application

Special Issue Information

Dear Colleagues,

This Special Issue, "Numerical and Computational Methods in Engineering", aims to explore the latest advancements and applications of numerical and computational techniques in various engineering disciplines. It provides a platform for researchers and practitioners on which to share their innovative methodologies, algorithms, and computational tools that facilitate the analysis, design, and optimization of engineering systems.

The scope of this Special Issue encompasses a broad range of engineering fields, including but not limited to civil engineering, mechanical engineering, electrical engineering, aerospace engineering, and chemical engineering. It welcomes contributions that address fundamental principles, the development of novel algorithms and computational techniques, the implementation of computational models, and practical applications in a diverse range of engineering domains.

Prof. Dr. Qinghe Yao
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • applied mathematics
  • numerical methods for partial differential equations
  • computational mechanics
  • optimization algorithms
  • structural analysis
  • heat and mass transfer simulation
  • computational electromagnetics
  • multi-physics simulations
  • computational materials science
  • high-performance computing
  • data-driven algorithms
  • big data analysis
  • machine learning in engineering

Published Papers (2 papers)

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Research

15 pages, 5192 KiB  
Article
Evaluation of the Segmental Casting Length of Strongly Restrained Super-Long Mass Concrete Based on Crack Resistance
by Fengqi Guo, Dezhou Li, Mohammed Nabil, Jiepeng Guo, Ning Zhang and Maofeng Lv
Mathematics 2024, 12(7), 1078; https://doi.org/10.3390/math12071078 - 03 Apr 2024
Viewed by 431
Abstract
The cracking of ultra-long and large concrete structures with strong constraints is a key issue under the action of shrinkage and hydration heat. The length of section pouring during construction is one of the main parameters to control the cracking of concrete. In [...] Read more.
The cracking of ultra-long and large concrete structures with strong constraints is a key issue under the action of shrinkage and hydration heat. The length of section pouring during construction is one of the main parameters to control the cracking of concrete. In this paper, the shrinkage test of concrete specimens under the condition of coculture is carried out under the background of the landing gear slide test platform of large aircraft. The measured early shrinkage curve of the expanded concrete is obtained, and the finite element model is established. The effects of the casting thickness, mould temperature, and limited expansion rate on the stress and cracking of super-long and large concrete are studied. The results show that factors such as the casting thickness, mould temperature, and limited expansion rate have significant effects on the limited length of the section after pouring. When the casting thickness is increased by 200%, the limit of the section length is reduced by 42%. When the mould temperature increases by 66.7%, the section length limit decreases by 28.2%, while the value increases by 24.2%, with an increasing expansion rate of 75%. The relationship between the three parameters and the piecewise pouring length is approximately linear. The exact calculation of the section length limit of strongly constrained ultra-long mass concrete under different pouring thicknesses, mould temperatures, and limited expansion rates is derived, and a simplified calculation formula is also proposed through data regression analysis. The errors between them are less than 1.7%, which provides a basis for calculating the section length of strongly constrained ultra-long mass concrete construction. Full article
(This article belongs to the Special Issue Numerical and Computational Methods in Engineering)
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15 pages, 4408 KiB  
Article
An Efficient Linearized Difference Algorithm for a Diffusive Sel′kov–Schnakenberg System
by Yange Wang and Xixian Bai
Mathematics 2024, 12(6), 894; https://doi.org/10.3390/math12060894 - 18 Mar 2024
Viewed by 374
Abstract
This study provides an efficient linearized difference algorithm for a diffusive Sel′kov–Schnakenberg system. The algorithm is developed by using a finite difference method that relies on a three-level linearization approach. The boundedness, existence and uniqueness of the solution of our proposed [...] Read more.
This study provides an efficient linearized difference algorithm for a diffusive Sel′kov–Schnakenberg system. The algorithm is developed by using a finite difference method that relies on a three-level linearization approach. The boundedness, existence and uniqueness of the solution of our proposed algorithm are proved. The numerical experiments not only validate the accuracy of the algorithm but also preserve the Turing patterns. Full article
(This article belongs to the Special Issue Numerical and Computational Methods in Engineering)
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