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Mathematical and Numerical Methods in Fluid Engineering

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Fluid Science and Technology".

Deadline for manuscript submissions: 20 August 2026 | Viewed by 1663

Special Issue Editor

Special Issue Information

Dear Colleagues,

Numerical methods have become very important in recent years. The evolution of computation has made it possible to create interesting tools to analyze problems. In addition, numerical models provide information not always achievable through experimental techniques and are applied to many engineering fields. This Special Issue seeks contributions that fit into one or more of the subjects listed below. Nevertheless, works not directly related to these shall also be considered in cases of particular interest to this Special Issue.

  • Two- and three-dimensional modeling;
  • Numerical simulations;
  • Computational fluid dynamics;
  • Finite element analyses;
  • Mathematical models;
  • Innovative modeling approaches;
  • Challenges in numerical models;
  • Advanced models;
  • New application areas.

Prof. Dr. María Isabel Lamas Galdo
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 250 words) can be sent to the Editorial Office for assessment.

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. Applied Sciences 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 2400 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

  • numerical models
  • mathematical models
  • computational models
  • fluid engineering

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Published Papers (2 papers)

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Research

22 pages, 4760 KB  
Article
Determination of Added-Mass Coefficients in Eccentrically Confined Square Cylinders Using Deforming-Mesh and Immersed-Boundary Methods
by Bruno Oettinger-Barrientos, Armando Blanco-Alvarez and Gonzalo Tampier
Appl. Sci. 2026, 16(11), 5239; https://doi.org/10.3390/app16115239 (registering DOI) - 23 May 2026
Abstract
Accurate prediction of hydrodynamic forces on confined oscillating structures is essential in applications related to nuclear engineering, energy systems, offshore devices, and mechanical components subjected to flow-induced vibrations. In this work, two computational fluid dynamics (CFD) methodologies implemented in ANSYS CFX are compared [...] Read more.
Accurate prediction of hydrodynamic forces on confined oscillating structures is essential in applications related to nuclear engineering, energy systems, offshore devices, and mechanical components subjected to flow-induced vibrations. In this work, two computational fluid dynamics (CFD) methodologies implemented in ANSYS CFX are compared to determine the added-mass coefficients for a square cross-section cylinder confined within a square container: a deforming-mesh method (DMM) and an immersed-boundary method (IBM). Unlike previous studies restricted either to concentric square cylinders or to eccentric configurations treated with potential flow, the present study addresses eccentric confined configurations by solving the incompressible Navier–Stokes equations and focuses primarily on the prediction of added mass under strong confinement. Horizontal, vertical, and combined eccentric displacements are analyzed in detail. Mesh-independence, domain-size sensitivity, and temporal-convergence analyses are performed. Results show that both methods provide closely matching added-mass predictions over a wide range of eccentricities, with relative differences typically below 1 % for moderate eccentricities, although discrepancies increase under extreme confinement. Relative to the concentric configuration, the added-mass coefficient increases by about 44 % for the most eccentric vertical case and by about 87 % for the most eccentric corner-approach case. Force decomposition and pressure-field analysis show that this increase is governed primarily by pressure-induced inertial effects, whereas viscous shear plays a secondary role under the conditions considered. From a practical standpoint, the immersed-boundary method reduced the computational time by approximately 92% in the most demanding case. Full article
(This article belongs to the Special Issue Mathematical and Numerical Methods in Fluid Engineering)
16 pages, 4199 KB  
Article
Experimental and Numerical Analysis of Hydrogen-Induced Effects in ASTM A131 and A36 Steels for Naval Fuel Systems
by Jorge I. Mendoza, Rogger I. Carranza, María D. Santos, Luis Carral and María Isabel Lamas
Appl. Sci. 2025, 15(21), 11343; https://doi.org/10.3390/app152111343 - 22 Oct 2025
Cited by 1 | Viewed by 1190
Abstract
Hydrogen embrittlement (HE) can degrade the mechanical integrity of steel pipes, increasing failure risks in naval fuel systems. This study assesses HE effects on ASTM A131 and A36 steels through tensile testing and numerical modeling. Tests conducted with varying exposure times to hydrogen [...] Read more.
Hydrogen embrittlement (HE) can degrade the mechanical integrity of steel pipes, increasing failure risks in naval fuel systems. This study assesses HE effects on ASTM A131 and A36 steels through tensile testing and numerical modeling. Tests conducted with varying exposure times to hydrogen revealed that A131 outperformed A36 in terms of mechanical strength. However, both materials experienced property degradation after six hours. After nine hours, a transient increase in strength occurred, due to temporary microstructural hardening, though the overall trend remained a decline. The maximum reductions in ultimate tensile strength and toughness were 19% and 47% for A131 and 39% and 61% for A36, respectively. Additionally, microstructural analysis revealed the presence of inclusions, intergranular decohesion and micro-crack, in specimens exposed for longer periods. Finally, a combined GTN-PLNIH numerical model was implemented, demonstrating its effectiveness in predicting the mechanical behavior of structures exposed to hydrogen. Full article
(This article belongs to the Special Issue Mathematical and Numerical Methods in Fluid Engineering)
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