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Mathematics
Special Issues
Computational Mechanics and Dynamics: Latest Advances and Prospects
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Computational Mechanics and Dynamics: Latest Advances and Prospects

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

Deadline for manuscript submissions: 30 April 2025 | Viewed by 1549

Special Issue Editors

Dr. Hossein Bakhshi Khaniki

E-Mail Website
Guest Editor
School of Electrical and Mechanical Engineering, University of Adelaide, Adelaide, SA 5005, Australia
Interests: vibrations; nonlinear dynamical systems; continuum mechanics; hyperelastic structures; structural analysis
Special Issues, Collections and Topics in MDPI journals
Dr. Mergen Ghayesh

E-Mail Website
Guest Editor
School of Electrical and Mechanical Engineering, University of Adelaide, Adelaide, SA 5005, Australia
Interests: hyperelastic structures; nonlinear dynamical systems; biomechanics; solid mechanics; nonlinear vibrations; nano/micro systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are pleased to announce a Special Issue of the journal Mathematics dedicated to the exciting theme of "Computational Mechanics and Dynamics: Latest Advances and Prospects". Computational mechanics and dynamics play a vital role in the understanding and analysis of complex systems, enabling us to tackle diverse challenges in various scientific and engineering fields.

This Special Issue aims to gather the most recent advancements in computational mechanics and dynamics, focusing on cutting-edge research and exploring the prospects for future developments. We invite contributions encompassing theoretical models, numerical algorithms, simulation techniques and innovative computational tools that contribute to the advancement of computational methods in mechanics and dynamics. 

Moreover, this Special Issue aims to showcase ground-breaking research on the application of computational mechanics and dynamics in various disciplines. We encourage researchers to present their novel approaches, innovative methodologies and significant findings that leverage the power of computational techniques to solve real-world problems in fields such as structural engineering, fluid dynamics, solid mechanics and biomechanics. 

Furthermore, we invite visionary perspectives and emerging trends that shed light on the prospects and future directions of computational mechanics and dynamics. Interdisciplinary studies that integrate computational approaches with other domains, such as mathematics, physics and computer science, are particularly welcomed. 

We cordially invite you to contribute your original research articles, review papers and short communications to this Special Issue. By collating the latest advancements and sharing promising applications, we aim to foster collaborations and inspire new avenues of research in the field of computational mechanics and dynamics. 

Dr. Hossein Bakhshi Khaniki
Dr. Mergen Ghayesh
Guest Editors

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

  • computational mechanics
  • computational dynamics
  • finite element analysis
  • multi-body dynamics
  • computational fluid dynamics
  • computational solid mechanics
  • nonlinear dynamics
  • numerical algorithms
  • simulation techniques
  • emerging trends

Published Papers (1 paper)

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Research

23 pages, 9401 KiB  
Article
Effect of Nanoparticle Diameter in Maxwell Nanofluid Flow with Thermophoretic Particle Deposition
by Pudhari Srilatha, Hanaa Abu-Zinadah, Ravikumar Shashikala Varun Kumar, M. D. Alsulami, Rangaswamy Naveen Kumar, Amal Abdulrahman and Ramanahalli Jayadevamurthy Punith Gowda
Mathematics 2023, 11(16), 3501; https://0-doi-org.brum.beds.ac.uk/10.3390/math11163501 - 13 Aug 2023
Cited by 18 | Viewed by 993
Abstract
The time-dependent Maxwell nanofluid flow with thermophoretic particle deposition is examined in this study by considering the solid–liquid interfacial layer and nanoparticle diameter. The governing partial differential equations are reduced to ordinary differential equations using suitable similarity transformations. Later, these reduced equations are [...] Read more.
The time-dependent Maxwell nanofluid flow with thermophoretic particle deposition is examined in this study by considering the solid–liquid interfacial layer and nanoparticle diameter. The governing partial differential equations are reduced to ordinary differential equations using suitable similarity transformations. Later, these reduced equations are solved using Runge–Kutta–Fehlberg’s fourth and fifth-order method via a shooting approach. An artificial neural network serves as a surrogate model, making quick and precise predictions about the behaviour of nanofluid flow for various input parameters. The impact of dimensionless parameters on flow, heat, and mass transport is determined via graphs. The results reveal that the velocity profile drops with an upsurge in unsteadiness parameter values and Deborah number values. The rise in space and temperature-dependent heat source/sink parameters value increases the temperature. The concentration profile decreases as the thermophoretic parameter upsurges. Finally, the method’s correctness and stability are confirmed by the fact that the maximum number of values is near the zero-line error. The zero error is attained near the values 2.68×10−6, 2.14×10−9, and 8.5×10−7 for the velocity, thermal, and concentration profiles, respectively. Full article
(This article belongs to the Special Issue Computational Mechanics and Dynamics: Latest Advances and Prospects)
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