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Computation
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Computational Techniques for Fluid Dynamics Problems
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Computational Techniques for Fluid Dynamics Problems

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

Deadline for manuscript submissions: closed (30 November 2023) | Viewed by 4862

Special Issue Editor

Dr. Sivasankaran Sivanandam

E-Mail Website
Guest Editor
Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Interests: computational fluid dynamics; numerical heat and mass transfer; mathematical modelling; numerical simulation; MHD; nanofluids; porous media
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

It is my immense pleasure to invite you to contribute to a high-impact Special Issue on the general subject of “Computational Techniques for Fluid Dynamics Problems”. Since the dynamics of fluid flow is everywhere, a clear understanding of the nonlinear complex flow characteristics in various fields is essential for the advancement of applied science, engineering, and technology. Nowadays, it is possible to find these flow phenomena using advanced computing facilities (supercomputing). Since the cost of computation is cheaper than the experimental setup, the use of numerical computation has been increasing in recent years. As well as the low cost, computations have some other advantages over experiments. For example, computation gives access to the complete set of data about a flow in a domain, while an experiment produces only measured points. 

This Special Issue aims to inspire scientists to present original research works in the field of fluid flow with various computational methods. Topics of interest for this Special Issue include but are not limited to computational techniques in fluid flow.

  • Computational techniques for fluid flows;
  • Mathematical modelling and computation;
  • Computational heat and mass transfer;
  • Computational methods for convective flow using nanoliquids/hybrid nanoliquids;
  • Computational techniques for magneto-hydrodynamics;
  • Computational methods for flow through Porous media;
  • Computational techniques in MEMS/NEMS & HVAC systems;
  • Computational biofluid dynamics;
  • Computation in oceanic and atmospheric flows;
  • Computation in single and multiphase flow.

Dr. Sivasankaran Sivanandam
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

  • computational methods
  • mathematical modelling
  • finite volume method
  • finite element method/boundary element method/spectral element method
  • lattice Boltzmann method
  • higher order schemes
  • nanofluid/hybrid nanofluid flow
  • heat and mass transfer
  • MHD
  • porous media
  • blood flow

Published Papers (4 papers)

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Research

15 pages, 7423 KiB  
Article
Anomalous Solute Transport Using Adsorption Effects and the Degradation of Solute
by B. Kh. Khuzhayorov, K. K. Viswanathan, F. B. Kholliev and A. I. Usmonov
Computation 2023, 11(11), 229; https://doi.org/10.3390/computation11110229 - 16 Nov 2023
Viewed by 1149
Abstract
In this work, anomalous solute transport using adsorption effects and the decomposition of solute was studied. During the filtration of inhomogeneous liquids, a number of new phenomena arise, and this is very important for understanding the mechanisms of the filtration process. Recently, issues [...] Read more.
In this work, anomalous solute transport using adsorption effects and the decomposition of solute was studied. During the filtration of inhomogeneous liquids, a number of new phenomena arise, and this is very important for understanding the mechanisms of the filtration process. Recently, issues of mathematical modeling of substance transfer processes have been intensively discussed. Modeling approaches are based on the law of matter balance in a certain control volume using additional phenomenological relationships. The process of anomalous solute transport in a porous medium was modeled by differential equations with a fractional derivative. A new mobile—immobile model is proposed to describe anomalous solute transport with a scale-dependent dispersion in inhomogeneous porous media. The profiles of changes in the concentrations of suspended particles in the macropore and micropore were determined. The influence of the order of the derivative with respect to the coordinate and time, i.e., the fractal dimension of the medium, was estimated based on the characteristics of the solute transport in both zones. The hydrodynamic dispersion was set through various relations: constant, linear, and exponential. Based on the numerical results, the concentration fields were determined for different values of the initial data and different relations of hydrodynamic dispersion. Full article
(This article belongs to the Special Issue Computational Techniques for Fluid Dynamics Problems)
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25 pages, 2746 KiB  
Article
Analysis of Discrete Velocity Models for Lattice Boltzmann Simulations of Compressible Flows at Arbitrary Specific Heat Ratio
by Gerasim V. Krivovichev and Elena S. Bezrukova
Computation 2023, 11(7), 138; https://doi.org/10.3390/computation11070138 - 10 Jul 2023
Cited by 1 | Viewed by 829
Abstract
This paper is devoted to the comparison of discrete velocity models used for simulation of compressible flows with arbitrary specific heat ratios in the lattice Boltzmann method. The stability of the governing equations is analyzed for the steady flow regime. A technique for [...] Read more.
This paper is devoted to the comparison of discrete velocity models used for simulation of compressible flows with arbitrary specific heat ratios in the lattice Boltzmann method. The stability of the governing equations is analyzed for the steady flow regime. A technique for the construction of stability domains in parametric space based on the analysis of eigenvalues is proposed. A comparison of stability domains for different models is performed. It is demonstrated that the maximum value of macrovelocity, which defines instability initiation, is dependent on the values of relaxation time, and plots of this dependence are constructed. For double-distribution-function models, it is demonstrated that the value of the Prantdl number does not seriously affect stability. The off-lattice parametric finite-difference scheme is proposed for the practical realization of the considered kinetic models. The Riemann problems and the problem of Kelvin–Helmholtz instability simulation are numerically solved. It is demonstrated that different models lead to close numerical results. The proposed technique of stability investigation can be used as an effective tool for the theoretical comparison of different kinetic models used in applications of the lattice Boltzmann method. Full article
(This article belongs to the Special Issue Computational Techniques for Fluid Dynamics Problems)
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13 pages, 2848 KiB  
Article
Stefan Blowing Impacts on Hybrid Nanofluid Flow over a Moving Thin Needle with Thermal Radiation and MHD
by Vinodh Srinivasa Reddy, Jagan Kandasamy and Sivasankaran Sivanandam
Computation 2023, 11(7), 128; https://doi.org/10.3390/computation11070128 - 29 Jun 2023
Cited by 2 | Viewed by 1082
Abstract
This investigation focuses on the impact of Stefan blowing on the flow of hybrid nanoliquids over a moving slender needle with magnetohydrodynamics (MHD), thermal radiation, and entropy generation. To facilitate analysis, suitable transformations are applied to convert the governing partial differential equations into [...] Read more.
This investigation focuses on the impact of Stefan blowing on the flow of hybrid nanoliquids over a moving slender needle with magnetohydrodynamics (MHD), thermal radiation, and entropy generation. To facilitate analysis, suitable transformations are applied to convert the governing partial differential equations into a set of ordinary differential equations, which are then solved analytically using Homotopy Analysis Method (HAM) in Mathematica. This study investigates how varying the values of Stefan blowing, magnetic field, and thermal radiation parameters impact the profiles of velocity, temperature, and concentration. Additionally, the study analyzes the outcomes of the local skin friction, local Nusselt number, and local Sherwood number. Increasing the magnetic field reduces the velocity profile. The temperature profile is enhanced by a rise in the thermal radiation parameter. Also, the results reveal that an increase in the Stefan blowing number leads to higher profiles of velocity. Full article
(This article belongs to the Special Issue Computational Techniques for Fluid Dynamics Problems)
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15 pages, 4280 KiB  
Article
Mathematical Modeling of Multi-Phase Filtration in a Deformable Porous Medium
by V. F. Burnashev, K. K. Viswanathan and Z. D. Kaytarov
Computation 2023, 11(6), 112; https://doi.org/10.3390/computation11060112 - 08 Jun 2023
Cited by 1 | Viewed by 1098
Abstract
In this paper, a mathematical model of multiphase filtration in a deformable porous medium is presented. Based on the proposed model, the influence of the deformation of a porous medium on the filtration processes is studied. Numerical calculations are performed and the characteristics [...] Read more.
In this paper, a mathematical model of multiphase filtration in a deformable porous medium is presented. Based on the proposed model, the influence of the deformation of a porous medium on the filtration processes is studied. Numerical calculations are performed and the characteristics of the process are determined. This paper shows that an increase in the compressibility coefficient leads to a sharp decrease in porosity, absolute permeability and internal pressure of the medium near the well, and a decrease in the distance between wells leads to a sharp decrease in hydrodynamic parameters in the inter-well zone. Full article
(This article belongs to the Special Issue Computational Techniques for Fluid Dynamics Problems)
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