Recent Advances of Symmetry in Computational Fluid Dynamics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 1 January 2025 | Viewed by 726

Special Issue Editors


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Guest Editor
Department of Mechanical Engineering, University of Wisconsin-Madison, Madison, WI 53706, USA
Interests: machine learning; computational fluid dynamics, data-driven model

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Guest Editor
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
Interests: mathematics; fluid dynamics; thermodynamics; mechanics

Special Issue Information

Dear Colleagues,

Computational fluid dynamics (CFD) plays an important role in a wide range of science and industrial applications. Consequently, achieving accurate and efficient CFD simulations has been an active research area for the past several decades. One effective approach to enhancing the accuracy and efficiency of these simulations is through the introduction of symmetry in flow geometry or boundary conditions. Furthermore, even in the area of machine learning (ML) for CFD simulations, symmetric constraints can also be introduced to improve the performance of ML models.

This Special Issue of Symmetry is dedicated to exploring the role of symmetry in computational fluid dynamics. We invite contributions on a wide range of topics that utilize symmetric conditions, including geometry, boundaries, periodic flow, heat transfer, turbulence modeling, design optimization, parameter studies, group theory applications, and machine learning models for CFD simulations.

Dr. Zhan Ma
Prof. Dr. Constantin Fetecau
Guest Editors

Manuscript Submission Information

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Keywords

  • computational fluid dynamics
  • numerical simulations
  • symmetric conditions
  • aerodynamics
  • heat transfer
  • design optimization
  • machine learning
  • turbulence modeling

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Published Papers (1 paper)

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Research

18 pages, 1686 KiB  
Article
Memory Effects in the Magnetohydrodynamic Axial Symmetric Flows of Oldroyd-B Fluids in a Porous Annular Channel
by Constantin Fetecau, Dumitru Vieru, Lucian Eva and Norina Consuela Forna
Symmetry 2024, 16(9), 1108; https://doi.org/10.3390/sym16091108 - 26 Aug 2024
Viewed by 582
Abstract
In this article, we analytically investigate the isothermal magnetohydrodynamic axial symmetric flows of ordinary and fractional incompressible Oldroyd-B fluids through a porous medium in an annular channel. The fluid’s motion is generated by an outer cylinder, which moves along its symmetry axis with [...] Read more.
In this article, we analytically investigate the isothermal magnetohydrodynamic axial symmetric flows of ordinary and fractional incompressible Oldroyd-B fluids through a porous medium in an annular channel. The fluid’s motion is generated by an outer cylinder, which moves along its symmetry axis with an arbitrary time-dependent velocity Vh(t). Closed-form expressions are established for the dimensionless velocity fields of both kinds of fluids, generating exact solutions for any motion of this type. To illustrate the concept, two particular cases are considered, and the velocity fields corresponding to the flow induced by the outer cylinder are presented in simple forms, with the results validated graphically. The motion of fractional and ordinary fluids becomes steady over time, and their corresponding velocities are presented as the sum of their steady and transient components. Moreover, the steady components of these velocities are identical. The influence of magnetic fields and porous media on the flow of fractional fluids is graphically depicted and discussed. It was found that a steady state is reached earlier in the presence of a magnetic field and later in the presence of a porous medium. Moreover, this state is obtained earlier in fractional fluids compared with ordinary fluids. Full article
(This article belongs to the Special Issue Recent Advances of Symmetry in Computational Fluid Dynamics)
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