Symmetry in Computational Fluid Dynamics: Numerical Methods, Theory and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 31 March 2026
Special Issue Editor
Special Issue Information
Dear Colleagues,
Symmetry is a powerful concept that shapes how we formulate, analyze, and solve problems in computational fluid dynamics (CFD). Whether it is using geometric and physical symmetries to simplify complex simulations, or developing numerical methods that preserve key symmetries to improve stability and accuracy, symmetry informs and enhances both theoretical developments and practical applications across a wide range of fluid flow problems.
This Special Issue of Symmetry invites original research articles, reviews, and short communications that explore the diverse roles of symmetry in CFD. We welcome contributions on topics including, but not limited to:
- Using symmetry to simplify numerical algorithms and reduce computational models;
- Symmetry-preserving discretization methods for incompressible and compressible flows;
- Applications of group theory, Lie symmetries, and invariants in fluid dynamics modeling;
- Investigations of symmetric and/or asymmetric flow behaviors in multiphase, turbulent, or reactive systems;
- Symmetry considerations in mesh generation, boundary conditions, and domain decomposition;
- Leveraging symmetry in CFD applications across engineering, geophysics, biomedical flows, and environmental science, etc.
We particularly encourage submissions that bridge theory and application, demonstrating how symmetry-inspired computational methods can address real-world challenges, enhance computational efficiency, or provide new insights into complex flow behavior.
By assembling cutting-edge research at the intersection of symmetry and CFD, this Special Issue aims to offer a comprehensive view of current advances and offer a clear view of where the field is headed.
Dr. Xiaoliang He
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. Symmetry is an international peer-reviewed open access monthly 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
- symmetry-preserving schemes
- computational fluid dynamics
- numerical modeling
- group theory in fluid dynamics
- multiphase and turbulent flows
- mesh symmetry
- model reduction
- application of symmetry in engineering
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