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Mathematics
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Advances in Computational Fluid Dynamics and Turbulence
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Advances in Computational Fluid Dynamics and Turbulence

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 3652

Special Issue Editors

Dr. Jingting Liu

E-Mail Website
Guest Editor
Key Laboratory of High-Efficiency and Clean Mechanical Manufacture, School of Mechanical Engineering, Shandong University, Jinan 250061, China
Interests: computational fluid dynamics; turbulence; numerical simulation; multiphase flow; bubble dynamics; mechanical engineering; acoustic engineering
Dr. Peng Wu

E-Mail Website
Guest Editor
College of Energy Engineering, Zhejiang University, Hangzhou 310027, China
Interests: computational fluid mechanics; fluid dynamics; fluid machinery; optimization
Dr. Cheng Peng

E-Mail Website
Guest Editor
Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China
Interests: fluid mechanics; computational fluid dynamics; numerical simulation; turbulence; direct numerical simulation; lattice Boltzmann method

Special Issue Information

Dear Colleagues,

Turbulence is present everywhere—in cumulus clouds in the sky, rolling waves in the sea, curling smoke and cascading waterfalls. Turbulence has been regarded as a century-old problem in classical physics and has attracted extensive attention from scientific and engineering fields. For more than one hundred years, researchers in fluid mechanics have been trying to determine the mechanism and inducements of turbulence transition and the dynamic characteristics of fully developed turbulent flow. Engineers have been trying to determine how to control turbulence in order to reduce energy consumption and drag. Mathematicians have been trying to find a way to solve Navier–Stokes equations directly and obtain perfect analytical solutions.

In this context, this Special Issue invites authors to propose original works regarding the development of computational fluid dynamics and turbulence or vortex theory, either based on mathematical techniques or on specific numerical models, devoted to the treatment of scientific and engineering applications. Particular interest will be given to innovative works focusing on the design of mathematical/computational tools, as well as on specific applications requiring the adaptation and use of CFD techniques.

Topics include but are not limited to:

  • Novel numerical simulation methods;
  • Statistical characteristics;
  • Vortex dynamics;
  • Computational fluid dynamics;
  • Hybrid algorithms;
  • Turbulence and particles;
  • Turbulence and bubbles;
  • Turbulence and boundary layers;
  • Convection and diffusion;
  • Turbulence in hydraulic machinery.

Dr. Jingting Liu
Dr. Peng Wu
Dr. Cheng Peng
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • turbulent flow
  • vortex dynamics
  • computational fluid dynamics
  • turbulence and particle
  • turbulence and bubble
  • turbulence and boundary layer
  • convection and diffusion

Published Papers (2 papers)

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Research

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10 pages, 581 KiB  
Article
Physics-to-Geometry Transformation to Construct Identities between Reynolds Stresses
by Sungmin Ryu
Mathematics 2023, 11(17), 3698; https://doi.org/10.3390/math11173698 - 28 Aug 2023
Cited by 1 | Viewed by 868
Abstract
Modeling has become firmly established as a methodology to close the Reynolds-averaged Navier–Stokes (RANS) equations, owing to theoretical and empirical efforts towards a complete formulation of the Reynolds stress tensor and, recently, breakthroughs in data-processing technology. However, mathematical exactness is not generally ensured [...] Read more.
Modeling has become firmly established as a methodology to close the Reynolds-averaged Navier–Stokes (RANS) equations, owing to theoretical and empirical efforts towards a complete formulation of the Reynolds stress tensor and, recently, breakthroughs in data-processing technology. However, mathematical exactness is not generally ensured by modeling, which is an intrinsic reason why the reliability of RANS closure models is not supposed to be consistent for all kinds of turbulent flow. Rather than straightforwardly overcoming this inherent limitation, most of the studies to date were reasonably directed towards broadening the range of turbulent flows, where reliable prediction accuracy can be obtained via modeling. In this paper, we present three identities between components of the Reynolds stress tensor, constructed via spatial mapping on the basis of the differential version of the Gauss–Bonnet formula. Further, we present a constraint condition that gives a set of equations as numerous as the parameters within a RANS model. Full article
(This article belongs to the Special Issue Advances in Computational Fluid Dynamics and Turbulence)
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Review

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20 pages, 5626 KiB  
Review
A Review of Fluid-Induced Excitations in Centrifugal Pumps
by Chengshuo Wu, Jun Yang, Shuai Yang, Peng Wu, Bin Huang and Dazhuan Wu
Mathematics 2023, 11(4), 1026; https://doi.org/10.3390/math11041026 - 17 Feb 2023
Cited by 3 | Viewed by 2225
Abstract
This paper describes the related research work in the field of fluid-induced vibration of centrifugal pumps conducted by many researchers. In recent years, all walks of life have put forward higher demands for the vibration performance of pumps which drives the investigation on [...] Read more.
This paper describes the related research work in the field of fluid-induced vibration of centrifugal pumps conducted by many researchers. In recent years, all walks of life have put forward higher demands for the vibration performance of pumps which drives the investigation on the root cause of pump vibration and the development of guidelines for the design of low-vibration pumps. Fluid-induced excitation is the most important and significant source of pump vibration. Understanding its generation mechanism and dominant characteristics is important for developing low-vibration pump design methodology. This paper starts with the analysis of unsteady flow in the centrifugal pump and summarizes unsteady flow characteristics such as jet–wake structure, secondary flow, and rotational stall in the operating pump. Based on the understanding of the unsteady flow structure in the pump, the fluid-induced excitation mechanism and its characteristics based on the investigation of unsteady pressure pulsation and excitation forces in the pump are summarized. For the pump operating at nominal flow rate, the excitation at blade passing frequency (BPF) dominates and related suppression methods are classified and summarized to provide reference for the design of a low-vibration pump. Full article
(This article belongs to the Special Issue Advances in Computational Fluid Dynamics and Turbulence)
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