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Axioms
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Computational and Experimental Fluid Dynamics
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Computational and Experimental Fluid Dynamics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 29 April 2024 | Viewed by 13418

Special Issue Editors

Prof. Dr. Yuli Chashechkin

E-Mail Website
Guest Editor
Laboratory of Fluid Mechanics, Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, Russia
Interests: fluid mechanics; unique experimental setup; dynamics; structure; universal models; high-speed and high-resolution visualization of flows; stratification; jets; wakes; vortices; waves (inertial, gravitational, acoustic, hybrid); gradient flows
Dr. Sergey E. Yakush

E-Mail Website
Guest Editor
Laboratory of Thermal Gas Dynamics and Combustion, Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, Russia
Interests: fluid mechanics; multiphase flows; bubbles; jets; porous media; rapid phase transition; physical explosions; combustion; numerical simulations

Special Issue Information

Dear Colleagues,

The extensive interest in the problems of fluid mechanics, covering all aspects of human life, environmental, industrial and transport technologies, has expanded in recent years due to significant advances in the research on nano- and microscale flows, as well as the study of large natural systems, such as the atmosphere and the world’s oceans. This increased interested has been primarily promoted by the need to assess the degree of anthropogenic impact on possible climate changes and develop adequate measures to rationalize it. The active development of methods and new results in theoretical and computational hydrodynamics stimulate the development of new formulations of experimental studies. At the same time, a number of experimental results obtained in the recent years require the attention of theoreticians and researchers involved in numerical simulations, in order to generalize data and include them in a fully fledged scientific model. Of particular interest are extensive studies that combine the results of analytical, numerical and experimental studies of flows across the widest range of scales (from supramolecular to global scales). These studies should also take into account the natural composition and complexity of the medium, nonstationarity, multiscale and physicochemical transformations that play a key role in the formation of the fine structures and global properties of flows.

We are looking for studies on new and innovative approaches to solving mathematical physics, numerical simulation and experimental problems in fluid mechanics. We welcome submissions that present new analytical and numerical models, algorithmic approaches, as well as applications of new and renovated classical, experimental methods. We welcome research on the interaction between complementary aspects of computational methods and experimental measurements, and stress the importance of their harmonious development and integration.

Prof. Dr. Yuli Chashechkin
Dr. Sergey E. Yakush
Guest Editors

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

  • fluid and gas mechanics
  • analytical and numerical simulations
  • experimental methods
  • advanced experimental facilities
  • waves and ligaments
  • vortices
  • stratified and rotating flows
  • multiphase flows
  • rapid phase transitions

Published Papers (5 papers)

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Research

17 pages, 2230 KiB  
Article
Numerical Simulation of Constrained Flows through Porous Media Employing Glimm’s Scheme
by Rogério M. Saldanha da Gama, José Julio Pedrosa Filho, Rogério Pazetto S. da Gama, Daniel Cunha da Silva, Carlos Henrique Alexandrino and Maria Laura Martins-Costa
Axioms 2023, 12(11), 1023; https://doi.org/10.3390/axioms12111023 - 30 Oct 2023
Viewed by 751
Abstract
This work uses a mixture theory approach to describe kinematically constrained flows through porous media using an adequate constitutive relation for pressure that preserves the problem hyperbolicity even when the flow becomes saturated. This feature allows using the same mathematical tool for handling [...] Read more.
This work uses a mixture theory approach to describe kinematically constrained flows through porous media using an adequate constitutive relation for pressure that preserves the problem hyperbolicity even when the flow becomes saturated. This feature allows using the same mathematical tool for handling unsaturated and saturated flows. The mechanical model can represent the saturated–unsaturated transition and vice-versa. The constitutive relation for pressure is a continuous and differentiable function of saturation: an increasing function with a strictly convex, increasing, and positive first derivative. This significant characteristic permits the fluid to establish a tiny controlled supersaturation of the porous matrix. The associated Riemann problem’s complete solution is addressed in detail, with explicit expressions for the Riemann invariants. Glimm’s semi-analytical scheme advances from a given instant to a subsequent one, employing the associated Riemann problem solution for each two consecutive time steps. The simulations employ a variation in Glimm’s scheme, which uses the mean of four independent sequences for each considered time, ensuring computational solutions with reliable positions of rarefaction and shock waves. The results permit verifying this significant characteristic. Full article
(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
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39 pages, 14291 KiB  
Article
Intrusive and Impact Modes of a Falling Drop Coalescence with a Target Fluid at Rest
by Yuli D. Chashechkin and Andrey Yu. Ilinykh
Axioms 2023, 12(4), 374; https://doi.org/10.3390/axioms12040374 - 13 Apr 2023
Cited by 2 | Viewed by 1292
Abstract
The evolution of the falling drop substance transfer in a target fluid at rest was traced by high-speed video techniques. Two flow modes were studied: slow intrusive flow, when the KE of the drop was comparable or less than the available potential energy [...] Read more.
The evolution of the falling drop substance transfer in a target fluid at rest was traced by high-speed video techniques. Two flow modes were studied: slow intrusive flow, when the KE of the drop was comparable or less than the available potential energy (APSE), and a fast impact flow, at a relatively high drop contact velocity. For the substance transfer visualization, a drop of alizarin ink solution at various concentrations was used. The use of transparent partially colored fluid allows tracing the drop matter motion in the bulk and on the fluid free surface. The traditional side and frontal view of flow patterns were registered and analyzed. In both flow modes, the substance of the drop partially remained on the free surface and partially went into the target fluid bulk, where it was distributed non-uniformly. In the intrusive mode, the drop substance partially remained on the surface, while the main mass of the drop flowed into the thickness of the target fluid, forming the lenticular colored domain. The intrusion was gradually transformed into an annular vortex. In the impact mode, the drop broke up into individual fibers during the coalescence, creating linear and reticular structures on the surface of the cavity and the crown. The flow patterns composed of individual fibers were rapidly rebuilt as the flow evolved and the splash emerged and decayed. The sizes of cavities and colored fluid domains were compared in different flow regimes as well. The total energy transfer and transformation impact on the flow structure formation and dynamics was revealed. Full article
(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
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33 pages, 9890 KiB  
Article
The VM2D Open Source Code for Two-Dimensional Incompressible Flow Simulation by Using Fully Lagrangian Vortex Particle Methods
by Ilia Marchevsky, Kseniia Sokol, Evgeniya Ryatina and Yulia Izmailova
Axioms 2023, 12(3), 248; https://doi.org/10.3390/axioms12030248 - 28 Feb 2023
Cited by 4 | Viewed by 1615
Abstract
This article describes the open-source C++ code VM2D for the simulation of two-dimensional viscous incompressible flows and solving fluid-structure interaction problems. The code is based on the Viscous Vortex Domains (VVD) method developed by Prof. G. Ya. Dynnikova, where the viscosity influence is [...] Read more.
This article describes the open-source C++ code VM2D for the simulation of two-dimensional viscous incompressible flows and solving fluid-structure interaction problems. The code is based on the Viscous Vortex Domains (VVD) method developed by Prof. G. Ya. Dynnikova, where the viscosity influence is taken into account by introducing the diffusive velocity. The original VVD method was supplemented by the author’s algorithms for boundary condition satisfaction, which made it possible to increase the accuracy of flow simulation near the airfoil’s surface line and reduce oscillations when calculating hydrodynamic loads. This paper is aimed primarily at assessing the efficiency of the parallelization of the algorithm. OpenMP, MPI, and Nvidia CUDA parallel programming technologies are used in VM2D, which allow performing simulations on computer systems of various architectures, including those equipped with graphics accelerators. Since the VVD method belongs to the particle methods, the efficiency of parallelization with the usage of graphics accelerators turns out to be quite high. It is shown that in a real simulation, one graphics card can replace about 80 nodes, each of which is equipped with 28 CPU cores. The source code of VM2D is available on GitHub under GNU GPL license. Full article
(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
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27 pages, 5972 KiB  
Article
Flow Modeling over Airfoils and Vertical Axis Wind Turbines Using Fourier Pseudo-Spectral Method and Coupled Immersed Boundary Method
by Lucas Marques Monteiro and Felipe Pamplona Mariano
Axioms 2023, 12(2), 212; https://doi.org/10.3390/axioms12020212 - 17 Feb 2023
Cited by 2 | Viewed by 1354
Abstract
In the present work, verifying the applicability and potentiality of the IMERSPEC methodology for numerical and computational modeling of two-dimensional flows over airfoils and vertical axis wind turbines is proposed. It is a high-order convergence methodology with low computational cost when compared to [...] Read more.
In the present work, verifying the applicability and potentiality of the IMERSPEC methodology for numerical and computational modeling of two-dimensional flows over airfoils and vertical axis wind turbines is proposed. It is a high-order convergence methodology with low computational cost when compared to other high-order methods, resulting from the coupling of the Fourier pseudo-spectral method and the immersed boundary method. To validate the proposed methodology, flow simulations are carried out over an airfoil NACA 0012 for a Reynolds number equal to 1000. From the spatial discretization procedure, there is convergence and good agreement of the lift and drag coefficients and the Strouhal number in relation to reference works. The behavior of the flows over the airfoil, as a function of the angle of attack, is evaluated by pressure and vorticity fields. From the analyzed flows, it is observed that the formation of different wake modes, constituted by swirling structures that vary their characteristic sizes, is influenced by the angle of attack. A case study is proposed based on the analysis of the main fluid dynamic aspects of flows over wind turbines with a vertical axis of three blades for a Reynolds number equal to 100. For this, a mathematical model responsible for the imposition of the rotational movement on the blades is presented in the turbine. Performance parameters, such as the coefficient of tangential force and normal force, and the analysis of velocity fields on the simulated turbine were presented and compared with other numerical methods. The good level of convergence and the accuracy of the obtained results show the promising capacity of the IMERSPEC methodology in solving problems of this nature. Full article
(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
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13 pages, 5343 KiB  
Article
Experimental Study of Void Fraction Measurement Using a Capacitance-Based Sensor and ANN in Two-Phase Annular Regimes for Different Fluids
by Aryan Veisi, Mohammad Hossein Shahsavari, Gholam Hossein Roshani, Ehsan Eftekhari-Zadeh and Ehsan Nazemi
Axioms 2023, 12(1), 66; https://doi.org/10.3390/axioms12010066 - 07 Jan 2023
Cited by 14 | Viewed by 6879
Abstract
One of the most severe problems in power plants, petroleum and petrochemical industries is the accurate determination of phase fractions in two-phase flows. In this paper, we carried out experimental investigations to validate the simulations for water–air, two-phase flow in an annular pattern. [...] Read more.
One of the most severe problems in power plants, petroleum and petrochemical industries is the accurate determination of phase fractions in two-phase flows. In this paper, we carried out experimental investigations to validate the simulations for water–air, two-phase flow in an annular pattern. To this end, we performed finite element simulations with COMSOL Multiphysics, conducted experimental investigations in concave electrode shape and, finally, compared both results. Our experimental set-up was constructed for water–air, two-phase flow in a vertical tube. Afterwards, the simulated models in the water–air condition were validated against the measurements. Our results show a relatively low relative error between the simulation and experiment indicating the validation of our simulations. Finally, we designed an Artificial Neural Network (ANN) model in order to predict the void fractions in any two-phase flow consisting of petroleum products as the liquid phase in pipelines. In this regard, we simulated a range of various liquid–gas, two-phase flows including crude oil, oil, diesel fuel, gasoline and water using the validated simulation. We developed our ANN model by a multi-layer perceptron (MLP) neural network in MATLAB 9.12.0.188 software. The input parameters of the MLP model were set to the capacitance of the sensor and the liquid phase material, whereas the output parameter was set to the void fraction. The void fraction was predicted with an error of less than 2% for different liquids via our proposed methodology. Using the presented novel metering system, the void fraction of any annular two-phase flow with different liquids can be precisely measured. Full article
(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
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