Numerical Methods for Fluid Dynamics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 31 August 2026 | Viewed by 1
Special Issue Editor
Special Issue Information
Dear Colleagues,
The field of fluid dynamics is at a pivotal moment, driven by the development of exascale computing, advanced algorithms, and data-driven methodologies. While the Navier–Stokes equations remain the cornerstone, solving them for increasingly complex, multi-scale, and multi-physics problems demands a new generation of numerical techniques. This Special Issue aims to capture the state of the art and chart the future course of computational fluid dynamics (CFD), highlighting innovations that enhance accuracy, efficiency, and applicability across science and engineering.
We seek contributions that not only demonstrate theoretical advances but also provide practical pathways for solving grand-challenge problems across engineering and scientific disciplines. This Issue will highlight research spanning the complete spectrum from fundamental algorithm development to cutting-edge applications.
Topics of interest include, but are not limited to, the following:
- Novel discretization schemes and solver technologies;
- Advanced turbulence modeling strategies;
- Innovative approaches for multiphase flows and fluid-structure interaction;
- Algorithms for high performance computing;
- Applications in areas such as aerospace engineering, fluid machinery, energy sector, and ocean engineering.
This Special Issue will serve as a comprehensive reference for researchers developing the new generation of CFD capabilities, emphasizing robust mathematical foundations while addressing practical implementation challenges. We particularly encourage submissions that demonstrate cross-disciplinary approaches and establish new benchmarks for accuracy and computational efficiency.
Dr. Shang-Gui Cai
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
- numerical algorithms
- computational fluid dynamics
- fluid–structure interaction
- turbulence modeling
- multiphase flows
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
