Fluid Mechanics, Numerical Analysis, and Dynamical Systems

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

Deadline for manuscript submissions: 10 July 2025 | Viewed by 61

Special Issue Editors


E-Mail Website
Guest Editor
Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
Interests: fluid mechanics; numerical analysis; partial differential equations

E-Mail Website
Guest Editor
Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
Interests: partial differential equations; mathematical physics; numerical analysis in mathematics and computer science

Special Issue Information

Dear Colleagues,

The fields of fluid mechanics, numerical analysis, and dynamical systems have made significant progress in recent years due to the increasing complexity of physical phenomena that require precise computational models. These areas of study focus on understanding and predicting the behavior of flows and dynamic systems, which often exhibit nonlinear and chaotic characteristics. Recent advances in these areas have enabled researchers to develop more sophisticated models based on classical theories and real-world data to accurately simulate the intricate dynamics of complex systems.

Numerical methods form the basis of these computational models, transforming the complex equations of fluid flows and dynamic systems into solvable algorithms. Rapid improvements in computing power and techniques have enabled scientists to tackle previously unsolvable problems, from turbulence in aerodynamics to instabilities in the climate system. This Special Issue of Mathematics focuses on the role of numerical analysis in fluid mechanics and dynamical systems and shows how modern computational methods can unravel the complexity of these phenomena.

We invite authors to submit papers that present new numerical methods, innovative models of fluid dynamics, and simulations that illustrate the effectiveness of these techniques. In addition, this Issue seeks contributions that propose breakthrough methods for modeling and simulating fluid–structure interactions and multiphase flows. These contributions will push the boundaries of the current research and provide valuable insights into the mathematical foundations of dynamic physical systems.

Dr. Angela Bašić-Šiško
Dr. Ivan Dražić
Guest Editors

Manuscript Submission Information

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Keywords

  • fluid mechanics
  • numerical method
  • dynamic system
  • novel flow models
  • fluid–structure interaction
  • multiphase flows

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Published Papers

This special issue is now open for submission.
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