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Mathematics
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Computational Fluid Dynamics with Applications
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Computational Fluid Dynamics with Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 30 June 2025 | Viewed by 3263

Special Issue Editor

Dr. Sónia Isabel Silva Pinto

E-Mail Website
Guest Editor
Department of Mechanical Engineering, University of Porto, LAETA-INEGI, Porto, Portugal
Interests: computational fluid dynamics; computational programming; numerical methods; mathematical analysis; numerical simulations; fluids; biomechanics

Special Issue Information

Dear Colleagues,

The Special Issue of Mathematics MDPI on “Computational Fluid Dynamics with Applications” aims to attract research and review papers in a wide range of applications in the computational fluid dynamic (CFD) domain. Recent studies have shown that “in-house” or commercial CFD software has been used to solve many fluid or thermal studies. This Special Issue focuses on the development of an “in-house” CFD software or on the use of commercial CFD software with the development of routines (computational programming) to simulate a specific problem. Application papers with the use of “in-house” or commercial software, which has already been developed, to solve an innovative problem are also welcome. Special attention will be paid applications using all types of fluids, including Newtonian fluids, non-Newtonian fluids (such as shear-thinning fluids, viscoelastic fluids, etc.) or on thermal energy topics, in a steady, transient, or turbulent state.

Dr. Sónia Isabel Silva Pinto
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

  • computational fluid dynamics
  • computational programming
  • numerical methods
  • mathematical analysis
  • numerical simulations
  • fluids
  • thermal energy

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Published Papers (4 papers)

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Research

14 pages, 6126 KiB  
Article
Investigating Hemodynamics in Intracranial Aneurysms with Irregular Morphologies: A Multiphase CFD Approach
by Dimitrios S. Lampropoulos and Maria Hadjinicolaou
Mathematics 2025, 13(3), 505; https://doi.org/10.3390/math13030505 - 3 Feb 2025
Abstract
Unruptured intracranial aneurysms, affecting 2–5% of the population, are characterized by localized wall weakening and irregular morphologies, including features such as blebs, lobulations, or asymmetries, which are significant predictors of rupture risk. Although up to 57% of ruptured intracranial aneurysms exhibit irregular dome [...] Read more.
Unruptured intracranial aneurysms, affecting 2–5% of the population, are characterized by localized wall weakening and irregular morphologies, including features such as blebs, lobulations, or asymmetries, which are significant predictors of rupture risk. Although up to 57% of ruptured intracranial aneurysms exhibit irregular dome geometry, its influence on aneurysm stability remains underexplored. Irregular geometries are associated with adverse hemodynamic forces, such as increased wall shear stress (WSS), amplifying wall stress at specific regions, and promoting flow disturbances, which may increase aneurysm vulnerability. This study investigates the influence of aneurysm dome morphology, particularly in IAs with irregular domes that may include daughter blebs, using Computational Fluid Dynamics (CFD). Unlike prior CFD studies that modeled blood as Newtonian or non-Newtonian, this work employs a three-phase blood flow model, representing plasma and red blood cells (RBCs) as distinct phases. Numerical simulations, conducted via the Finite Volume Method, solve the Navier–Stokes equations to capture complex flow dynamics within cerebral vasculature. Key hemodynamic metrics, such as Wall Shear Stress (WSS), Wall Shear Stress Gradient (WSSG), and Viscous Dissipation Rate, are analyzed to assess the interplay between dome morphology and hemodynamic stressors. Full article
(This article belongs to the Special Issue Computational Fluid Dynamics with Applications)
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22 pages, 4494 KiB  
Article
Analysis of Inherent Frequencies to Mitigate Liquid Sloshing in Overhead Double-Baffle Damper
by Ashraf Ali, Mohamed Ismail, Madhan Kumar, Daniel Breaz and Kadhavoor R. Karthikeyan
Mathematics 2024, 12(17), 2727; https://doi.org/10.3390/math12172727 - 31 Aug 2024
Viewed by 1130
Abstract
A disco-rectangular volume-fraction-of-fluid (VOF) model tank of a prismatic size is considered here for investigating the severe effect of overhead baffles made of three different materials, nylon, polyamide, and polylactic acid. In this work, the overdamped, undamped, and nominal damped motion of baffles [...] Read more.
A disco-rectangular volume-fraction-of-fluid (VOF) model tank of a prismatic size is considered here for investigating the severe effect of overhead baffles made of three different materials, nylon, polyamide, and polylactic acid. In this work, the overdamped, undamped, and nominal damped motion of baffles and their effect are studied. In this research, the behaviour of different material baffles based on the sloshing effect and natural frequency of each baffle excited in damped, undamped, and overdamped cases is studied. VOF modelling is carried out in moving Yeoh model mesh with fluid–structure interaction between the water models for various baffle plates. The results of the water volume distribution and baffle displacement operating between a sloshing time of 0 and 1 s are recorded. Also, a strong investigation is carried out for the water volume suspended on overhead baffles by three different material selections. Full article
(This article belongs to the Special Issue Computational Fluid Dynamics with Applications)
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58 pages, 552 KiB  
Article
Global Existence of Solutions to a Free Boundary Problem for Viscous Incompressible Magnetohydrodynamics for Small Data
by Piotr Kacprzyk and Wojciech M. Zaja̧czkowski
Mathematics 2024, 12(17), 2614; https://doi.org/10.3390/math12172614 - 23 Aug 2024
Viewed by 619
Abstract
The motion of viscous incompressible magnetohydrodynamics (MHD) is considered in a domain that is bounded by a free surface. The motion interacts through the free surface with an electromagnetic field located in a domain exterior to the free surface and bounded by a [...] Read more.
The motion of viscous incompressible magnetohydrodynamics (MHD) is considered in a domain that is bounded by a free surface. The motion interacts through the free surface with an electromagnetic field located in a domain exterior to the free surface and bounded by a given fixed surface. Some electromagnetic fields are prescribed on this fixed boundary. On the free surface, jumps in the magnetic and electric fields are assumed. The global existence of solutions to this problem assuming appropriate smallness conditions on the initial and boundary data is proved. Full article
(This article belongs to the Special Issue Computational Fluid Dynamics with Applications)
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20 pages, 9374 KiB  
Article
A Numerical Investigation of Activation Energy Impact on MHD Water-Based Fe3O4 and CoFe2O4 Flow between the Rotating Cone and Expanding Disc
by Kandavkovi Mallikarjuna Nihaal, Ulavathi Shettar Mahabaleshwar, Nedunchezhian Swaminathan, David Laroze and Igor V. Shevchuk
Mathematics 2024, 12(16), 2530; https://doi.org/10.3390/math12162530 - 16 Aug 2024
Cited by 1 | Viewed by 972
Abstract
Hybrid nanofluids have caught the attention of scholars and investigators in the present technological period due to their improved thermophysical features and the desire to boost heat transfer rates compared to those of conventional fluids. The present paper is mainly concerned with heat [...] Read more.
Hybrid nanofluids have caught the attention of scholars and investigators in the present technological period due to their improved thermophysical features and the desire to boost heat transfer rates compared to those of conventional fluids. The present paper is mainly concerned with heat transmission in cone-disk geometry in the presence of a magnetic field, activation energy, and non-uniform heat absorption/generation. In this work, the cone-disk (CD) apparatus is considered to have a rotating cone (RC) and a stretching disk, along with iron oxide and cobalt ferrite-based hybrid nanofluid. Appropriate similarity transformations are employed to change the physically modeled equations into ordinary differential equations (ODEs). Heat transfer rates at both surfaces are estimated by implementing a modified energy equation with non-uniform heat absorption/generation. The outcomes illustrated that the inclusion of such physical streamwise heat conduction variables in the energy equation has a significant impact on the well-known conclusions of heat transfer rates. To understand flow profile behavior, we have resorted to the RKF-45 method and the shooting method, which are illustrated using graphs. The findings provide conclusive evidence that wall stretching alters the flow, heat, and mass profile characteristics within the conical gap. The wall deformation caused by disk stretching was found to have a potential impact of modifying the centripetal/centrifugal flow characteristics of the disk, increasing the flow velocity and swirling angles. A rise in activation energy leads to an improved concentration field. Full article
(This article belongs to the Special Issue Computational Fluid Dynamics with Applications)
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