Mathematical Modeling for Fluid Mechanics

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

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 250 words) can be sent to the Editorial Office for assessment.

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-anonymized 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.