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 477
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
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Keywords
- numerical algorithms
- computational fluid dynamics
- fluid–structure interaction
- turbulence modeling
- multiphase flows
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