Mathematical Modeling for Fluid Mechanics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".
Deadline for manuscript submissions: closed (28 March 2025) | Viewed by 3663
Special Issue Editor
Interests: diffusion modeling; p-Laplacian operators; phase change materials; Darcy-Forchheimer fluids; porous media flow modelling; rheological properties; magnetohydrodynamics; geometric perturbation theory; travelling waves; solitons; peakons; flame modeling
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Special Issue Information
Dear Colleagues,
The modeling of fluid flows is an important topic of research due to its connection with chemical and biological processes, physics, engineering, and microfluidics. During the last years, modeling efforts in fluid dynamics (for example, in areas like biofluids, porous media flows, aerodynamics or combustion) have led to new developments in mathematics, in particular in the numerical and analytical advances of PDEs.
We are pleased to invite you to submit works discussing relevant developments and applications of mathematical modeling in fluid dynamics and mechanics. The works can be focused on analytical conceptions, numerical approaches, or a combination of analytical and numerical methods. Experimental works are also welcome, but they should relate to mathematical theories.
This Special Issue aims to present current research in fluid modeling, attracting researchers and serving as a placeholder to concentrate new ideas for the future development of fluid modeling.
In this Special Issue, original research articles and reviews are welcome. Research areas may include (but not limited to) the following:
- Energy formulation of fluids;
- Variational approaches theory and numerics;
- Biofluids modeling;
- Flows in porous media;
- Combustion theory;
- Flame propagation modeling;
- Perturbation approaches;
- Travelling waves and soliton solutions;
- Regularity, uniqueness and smoothness of fluid solutions;
- Higher order parabolic operators in fluid modeling;
- p-Laplacian, poly-Laplacian and other bizarre operators in fluid modeling;
- Navier–Stokes equations;
- Laminar and turbulent flow modeling;
- Finite element analysis, finite difference method, and finite volume method;
- Boundary layer theory;
- Vortex methods;
- Large eddy simulation;
- Particle image velocimetry in fluid modeling;
- Smoothed particle hydrodynamics;
- Scaling laws and dimensional analysis;
- Wind tunnel testing and fluid modeling;
- Wavelet methods for turbulence.
I/We look forward to receiving your contributions.
Prof. Dr. José Luis Díaz
Guest Editor
Manuscript Submission Information
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Keywords
- energy formulation of fluids
- variational approaches theory and numerics
- biofluids modeling
- flows in porous media
- combustion theory
- flame propagation modeling
- perturbation approaches
- travelling waves and soliton solutions
- regularity, uniqueness and smoothness of fluid solutions
- higher order parabolic operators in fluid modeling
- p-Laplacian, poly-Laplacian and other bizarre operators in fluid modeling
- Navier–Stokes equations
- laminar and turbulent flow modeling
- finite element analysis, finite difference method, and finite volume method
- boundary layer theory
- vortex methods
- large eddy simulation
- particle image velocimetry in fluid modeling
- smoothed particle hydrodynamics
- scaling laws and dimensional analysis
- wind tunnel testing and fluid modeling
- wavelet methods for turbulence
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