Recent Progress in Computational Fluid Dynamics

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

Deadline for manuscript submissions: 31 August 2025 | Viewed by 2273

Special Issue Editor


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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

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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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Published Papers (2 papers)

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Research

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 623
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 1008
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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