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Journals
Axioms
Special Issues
Recent Progress in Computational Fluid Dynamics
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Recent Progress in Computational Fluid Dynamics

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 31 August 2025 | Viewed by 2428

Special Issue Editor

Dr. Satyvir Singh

E-Mail Website
Guest Editor
Applied and Computational Mathematics, RWTH Aachen University, Schinkelstr. 2, D-52062 Aachen, Germany
Interests: high-order discontinuous; galerkin method; computational fluid dynamics; hydrodynamic instability; multi-species flows; moment method for gas kinetic theory

Special Issue Information

Dear Colleagues,

We are pleased to announce this Special Issue of the journal Axioms, entitled “Recent Progress in Computational Fluid Dynamics.” Computational modeling for fluid flows plays a crucial role in understanding complex fluid dynamics phenomena, designing efficient engineering systems, and addressing real-world challenges across diverse fields. Advances in computing technology, numerical algorithms, and interdisciplinary collaborations continue to drive innovation and expand the capabilities of computational fluid dynamics techniques. These advancements hold promise for addressing complex fluid dynamics problems across scientific research and industrial applications. Further, recent progress on computational modeling for fluid flows has brought about transformative changes in how engineers and researchers approach the modeling and simulation of fluid flow phenomena. This Special Issue welcomes papers focusing on innovative computational modeling for fluid flows. Topics of interest include, but are not limited to, computational modeling for solving hydrodynamic instability flows, Newtonian and non-Newtonian flows, rarefied gas flows, turbulence flows, multiphase flows, and novel techniques for handling complex fluid flows. We invite contributions from authors on these topics.

Dr. Satyvir Singh
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. Axioms 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

  • computational fluid dynamics
  • high-order numerical methods
  • hydrodynamic instability
  • Richtmyer–Meshkov instability
  • convection flows
  • Newtonian and non-Newtonian flows
  • rarefied flows
  • Navier–Stokes equations
  • multiphase flows
  • computational approaches
  • computational flow physics

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

11 pages, 842 KiB  
Article
Nonlinear Convection in an Inclined Porous Layer Saturated by Casson Fluid with a Magnetic Effect
by S. Suresh Kumar Raju
Axioms 2025, 14(5), 384; https://doi.org/10.3390/axioms14050384 - 20 May 2025
Viewed by 25
Abstract
The study examines the onset of magnetoconvection in a Casson fluid-saturated inclined porous layer. Oberbeck–Boussinesq approximation and Darcy law employed to characterize the fluid motion. The stability of the system is examined using both linear and nonlinear stability theories. A basic solution of [...] Read more.
The study examines the onset of magnetoconvection in a Casson fluid-saturated inclined porous layer. Oberbeck–Boussinesq approximation and Darcy law employed to characterize the fluid motion. The stability of the system is examined using both linear and nonlinear stability theories. A basic solution of the governing equation is determined. The linear instability is studied by employing disturbances to the basic flow. The nonlinear instability is analyzed utilizing the energy method. The solution to the eigenvalue problem is derived using the bvp4c routine in MATLAB R2023a. This study evaluates the influence of nondimensional parameters specifically, the Hartmann number, Casson parameter, and inclination angle on both linear and nonlinear instability. The Casson parameter destabilizes the system, whereas the Hartmann number and inclination angle stabilize it. Transverse rolls exhibit greater stability compared to longitudinal rolls. Changes in the Casson parameter significantly affect the presence or absence of transverse rolls; as its value changes, so does the disappearance of transverse rolls. Full article
(This article belongs to the Special Issue Recent Progress in Computational Fluid Dynamics)
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28 pages, 2723 KiB  
Article
A Comprehensive Model and Numerical Study of Shear Flow in Compressible Viscous Micropolar Real Gases
by Nelida Črnjarić and Ivan Dražić
Axioms 2024, 13(12), 845; https://doi.org/10.3390/axioms13120845 - 2 Dec 2024
Viewed by 633
Abstract
Understanding shear flow behavior in compressible, viscous, micropolar real gases is essential for both theoretical advancements and practical engineering applications. This study develops a comprehensive model that integrates micropolar fluid theory with compressible flow dynamics to accurately describe the behavior of real gases [...] Read more.
Understanding shear flow behavior in compressible, viscous, micropolar real gases is essential for both theoretical advancements and practical engineering applications. This study develops a comprehensive model that integrates micropolar fluid theory with compressible flow dynamics to accurately describe the behavior of real gases under shear stress. We formulate the governing equations by incorporating viscosity and micropolar effects and transform the obtained system into the mass Lagrangian coordinates. Two numerical methods, Faedo–Galerkin approximation and finite-difference methods, are used to solve it. These methods are compared using several benchmark examples to assess their accuracy and computational efficiency. Both methods demonstrate good performance, achieving equally precise results in capturing essential flow characteristics. However, the finite-difference method offers advantages in speed, stability, and lower computational demands. This research bridges gaps in existing models and establishes a foundation for further investigations into complex flow phenomena in micropolar real gases. Full article
(This article belongs to the Special Issue Recent Progress in Computational Fluid Dynamics)
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22 pages, 19554 KiB  
Article
Computational Study of Shocked V-Shaped N2/SF6 Interface across Varying Mach Numbers
by Salman Saud Alsaeed and Satyvir Singh
Axioms 2024, 13(10), 700; https://doi.org/10.3390/axioms13100700 - 9 Oct 2024
Cited by 1 | Viewed by 1052
Abstract
The Mach number effect on the Richtmyer–Meshkov instability (RMI) evolution of the shocked V-shaped N2/SF6 interface is numerically studied in this research. Four distinct Mach numbers are taken into consideration for this purpose: [...] Read more.
The Mach number effect on the Richtmyer–Meshkov instability (RMI) evolution of the shocked V-shaped N2/SF6 interface is numerically studied in this research. Four distinct Mach numbers are taken into consideration for this purpose: Ms=1.12,1.22,1.42, and 1.62. A two-dimensional space of compressible two-component Euler equations is simulated using a high-order modal discontinuous Galerkin approach to computational simulations. The numerical results show good consistency when compared to the available experimental data. The computational results show that the RMI evolution in the shocked V-shaped N2/SF6 interface is critically dependent on the Mach number. The flow field, interface deformation, intricate wave patterns, inward jet development, and vorticity generation are all strongly impacted by the shock Mach number. As the Mach number increases, the V-shaped interface deforms differently, and the distance between the Mach stem and the triple points varies depending on the Mach number. Compared to lower Mach numbers, higher ones produce larger rolled-up vortex chains. A thorough analysis of the Mach number effect identifies the factors that propel the creation of vorticity during the interaction phase. Moreover, kinetic energy and enstrophy both dramatically rise with increasing Mach number. Lastly, a detailed analysis is carried out to determine how the Mach number affects the temporal variations in the V-shaped interface’s features. Full article
(This article belongs to the Special Issue Recent Progress in Computational Fluid Dynamics)
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