Advanced Computational Fluid Dynamics and Applications

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

Deadline for manuscript submissions: 20 February 2026 | Viewed by 3

Special Issue Editor


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Guest Editor
SYSTEC-ARISE, Department of Electrical and Computer Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal
Interests: fluid dynamics; dynamo theory; convection; optimal control; numerical methods

Special Issue Information

Dear Colleagues,

Computational fluid dynamics (CFD) has become an indispensable tool in science and engineering, translating the fundamental principles of fluid mechanics into powerful predictive capabilities for real-world problems. This Special Issue, situated within the domain of applied mathematics, focuses on the cutting edge of CFD, emphasizing the development and application of complex computational or combined analytical–computational techniques. The accurate simulation of fluid phenomena is vital across diverse fields, impacting everything from aerospace vehicle design, the control of complex technological processes and meteorological forecasting, to biomedical engineering and environmental management.

Addressing the inherent complexities of fluid dynamics—including turbulence, multiphase flows, intricate convection patterns, magnetohydrodynamics (MHD), and flow control systems—demands robust and efficient numerical methods. Furthermore, the scale of these problems necessitates the use of high-performance computing (HPC). Therefore, one of the topics of this Special Issue is the creation and analysis of scalable algorithms (e.g., advanced finite difference, finite element analysis, finite volume analysis, and spectral methods) capable of leveraging parallel computational architectures, including CPU and GPU facilities.

We invite contributions that present significant advancements in mathematical modeling, numerical algorithm design, and computational implementation, particularly contributions tackling challenging applications in areas like aerodynamics, pipe and turbine flows, convection, MHD, and flow control, and which demonstrate the crucial interplay between applied mathematics, numerical methods, HPC, and impactful CFD simulations.

Dr. Roman Chertovskikh
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

  • fluid mechanics
  • magnetohydrodynamics
  • convection
  • flow control and optimization
  • numerical methods
  • parallel computing

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Published Papers

This special issue is now open for submission.
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