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Computation
Special Issues
Recent Advances in Numerical Simulation of Compressible Flows
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Recent Advances in Numerical Simulation of Compressible Flows

A special issue of Computation (ISSN 2079-3197).

Deadline for manuscript submissions: 30 June 2024 | Viewed by 3664

Special Issue Editor

Prof. Dr. Pavel Utkin

E-Mail Website
Guest Editor
International Center for Applied Mechanics, School of Astronautics, Harbin Institute of Technology, West Dazhi Street, Harbin 150001, China
Interests: mathematical modelling; computational fluid dynamics; numerical simulation; aerodynamics; shock waves; two-phase flow; detonation; high-performance computing; compressible flow; combustion; numerical methods; gas dynamics; hyperbolic equations

Special Issue Information

Dear Colleagues,

Problems related to the flow of compressible media arise in many fields of science and technology, such as aerospace research, astrophysics, transport technologies, fire and explosion safety in industries, energetics, high-energy physics and many others. As a rule, mathematical models for describing such phenomena are described by systems of hyperbolic partial differential equations that allow solutions in the form of traveling waves, including discontinuous solutions. Despite the long history of studying the properties of such models, constructing appropriate numerical methods, developing appropriate solvers and computer codes and their application for fundamental and applied research, numerical modeling of flows of compressible media is still an intensively developing field of computational physics. This is due to the strong nonlinearity of the defining system of equations and a lot of additional factors complicating the solution, such as turbulent effects, multiphase nature of the medium, chemical reactions, etc. In turn, as a consequence, numerous developed models and methods have their own areas of applicability, or at least the range of parameters for which they work most effectively.

This Special Issue is dedicated to demonstrating recent advances in mathematical modeling and numerical simulation of gas or other compressible media flow in fundamental problems and natural and technological processes. Papers may report on original research, discuss methodological aspects, review the current state of the art or offer perspectives on future prospects.

Topics of the Special Issue include, but are not limited to:

  • Hyperbolic equations.
  • Toy-models for compressible media mechanics understanding.
  • Two-phase flows.
  • Flows with chemical reactions, including detonation waves.
  • Analytical approaches for building exact solutions of hyperbolic equations.
  • Finite-volume methods for the Euler and Navier–Stokes equations.
  • Theory of numerical methods.
  • High-Performance Computing in CFD.
  • Solution of practical problems in the field of aerodynamics, aerospace engineering, explosion safety, etc.
  • Numerical simulation of compressible flows using in-house codes.
  • Numerical simulation of compressible flows using software such as OpenFOAM, Ansys Fluent, Ansys CFX, etc.
  • Advances in computational meshes construction.
  • Education in the field of CFD.

Prof. Dr. Pavel Utkin
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. Computation 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 1800 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

  • numerical simulation
  • compressible flow
  • two-phase flow
  • numerical combustion
  • high-order methods
  • high-performance computing
  • shock wave
  • detonation wave
  • hyperbolic systems

Published Papers (4 papers)

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Research

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15 pages, 2612 KiB  
Article
Why Stable Finite-Difference Schemes Can Converge to Different Solutions: Analysis for the Generalized Hopf Equation
by Vladimir A. Shargatov, Anna P. Chugainova, Georgy V. Kolomiytsev, Irik I. Nasyrov, Anastasia M. Tomasheva, Sergey V. Gorkunov and Polina I. Kozhurina
Computation 2024, 12(4), 76; https://doi.org/10.3390/computation12040076 - 05 Apr 2024
Viewed by 508
Abstract
The example of two families of finite-difference schemes shows that, in general, the numerical solution of the Riemann problem for the generalized Hopf equation depends on the finite-difference scheme. The numerical solution may differ both quantitatively and qualitatively. The reason for this is [...] Read more.
The example of two families of finite-difference schemes shows that, in general, the numerical solution of the Riemann problem for the generalized Hopf equation depends on the finite-difference scheme. The numerical solution may differ both quantitatively and qualitatively. The reason for this is the nonuniqueness of the solution to the Riemann problem for the generalized Hopf equation. The numerical solution is unique in the case of a flow function with two inflection points if artificial dissipation and dispersion are introduced, i.e., the generalized Korteweg–de Vries-Burgers equation is considered. We propose a method for selecting coefficients of dissipation and dispersion. The method makes it possible to obtain a physically justified unique numerical solution. This solution is independent of the difference scheme. Full article
(This article belongs to the Special Issue Recent Advances in Numerical Simulation of Compressible Flows)
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21 pages, 16562 KiB  
Article
Scale-Resolving Simulation of Shock-Induced Aerobreakup of Water Droplet
by Viola Rossano and Giuliano De Stefano
Computation 2024, 12(4), 71; https://doi.org/10.3390/computation12040071 - 03 Apr 2024
Viewed by 544
Abstract
Two different scale-resolving simulation (SRS) approaches to turbulence modeling and simulation are used to predict the breakup of a spherical water droplet in air, due to the impact of a traveling plane shock wave. The compressible flow governing equations are solved by means [...] Read more.
Two different scale-resolving simulation (SRS) approaches to turbulence modeling and simulation are used to predict the breakup of a spherical water droplet in air, due to the impact of a traveling plane shock wave. The compressible flow governing equations are solved by means of a finite volume-based numerical method, with the volume-of-fluid technique being employed to track the air–water interface on the dynamically adaptive mesh. The three-dimensional analysis is performed in the shear stripping regime, examining the drift, deformation, and breakup of the droplet for a benchmark flow configuration. The comparison of the present SRS results against reference experimental and numerical data, in terms of both droplet morphology and breakup dynamics, provides evidence that the adopted computational methods have significant practical potential, being able to locally reproduce unsteady small-scale flow structures. These computational models offer viable alternatives to higher-fidelity, more costly methods for engineering simulations of complex two-phase turbulent compressible flows. Full article
(This article belongs to the Special Issue Recent Advances in Numerical Simulation of Compressible Flows)
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11 pages, 1580 KiB  
Article
The Mechanism of Resonant Amplification of One-Dimensional Detonation Propagating in a Non-Uniform Mixture
by Alexander Lopato and Pavel Utkin
Computation 2024, 12(2), 37; https://doi.org/10.3390/computation12020037 - 17 Feb 2024
Viewed by 1050
Abstract
The propagation of detonation waves (i.e., supersonic combustion waves) in non-uniform gaseous mixtures has become a matter of interest over the past several years due to the development of rotating detonation engines. It was shown in a number of recent theoretical studies of [...] Read more.
The propagation of detonation waves (i.e., supersonic combustion waves) in non-uniform gaseous mixtures has become a matter of interest over the past several years due to the development of rotating detonation engines. It was shown in a number of recent theoretical studies of one-dimensional pulsating detonation that perturbation of the parameters in front of the detonation wave can lead to a resonant amplification of intrinsic pulsations for a certain range of perturbation wavelengths. This work is dedicated to the clarification of the mechanism of this effect. One-dimensional reactive Euler equations with single-step Arrhenius kinetics were solved. Detonation propagation in a gas with sine waves in density was simulated in a shock-attached frame of reference. We carried out a series of simulations, varying the wavelength of the disturbances. We obtained a non-linear dependence of the amplitude of these pulsations on the wavelength of disturbances with resonant amplification for a certain range of wavelengths. The gain in velocity was about 25% of the Chapman–Jouguet velocity of the stable detonation wave. The effect is explained using the characteristic analysis in the x-t diagram. For the resonant case, we correlated the pulsation period with the time it takes for the C+ and C− characteristics to travel through the effective reaction zone. A similar pulsation mechanism is realized when a detonation wave propagates in a homogeneous medium. Full article
(This article belongs to the Special Issue Recent Advances in Numerical Simulation of Compressible Flows)
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Review

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14 pages, 766 KiB  
Review
Overview of the Application of Physically Informed Neural Networks to the Problems of Nonlinear Fluid Flow in Porous Media
by Nina Dieva, Damir Aminev, Marina Kravchenko and Nikolay Smirnov
Computation 2024, 12(4), 69; https://doi.org/10.3390/computation12040069 - 02 Apr 2024
Viewed by 662
Abstract
To describe unsteady multiphase flows in porous media, it is important to consider the non-Newtonian properties of fluids by including rheological laws in the hydrodynamic model. This leads to the formation of a nonlinear system of partial differential equations. To solve this direct [...] Read more.
To describe unsteady multiphase flows in porous media, it is important to consider the non-Newtonian properties of fluids by including rheological laws in the hydrodynamic model. This leads to the formation of a nonlinear system of partial differential equations. To solve this direct problem, it is necessary to linearize the equation system. Algorithm construction for inverse problem solution is problematic since the numerical solution is unstable. The application of implicit methods is reduced to matrix equations with a high rank of the coefficient matrix, which requires significant computational resources. The authors of this paper investigated the possibility of parameterized function (physics-informed neural networks) application to solve direct and inverse problems of non-Newtonian fluid flows in porous media. The results of laboratory experiments to process core samples and field data from a real oil field were selected as examples of application of this method. Due to the lack of analytical solutions, the results obtained via the finite difference method and via real experiments were proposed for validation. Full article
(This article belongs to the Special Issue Recent Advances in Numerical Simulation of Compressible Flows)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review. 

1. Unsteady simulations of aero-engine fan flow at supersonic rotor-tip speed: computation of buzz-saw noise
by M.L. Shur, M.Kh. Strelets, and A.K. Travin
2. S. Simakov, to be announced
3. A. Kiverin, to be announced
4. V. Shargatov, to be announced
5. Feo, Alessandra, to be announced

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