On a Modified Form of Navier‐Stokes Equations for Three‐Dimensional Flows

Venetis, J.

doi:10.1155/2015/692494

Cited by 3 publications

(3 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nodes in the immediate vicinity of the node of interest have the largest share [6], [7]. Such a situation is preferable for the description of phenomena with a strong local character, as it is the case of impact problems in general and high speed impact in particular [4], [5].…”

Section: Silvia Marzavanmentioning

confidence: 99%

On the Choice of the Weight Function and its Parameters in the Element Free Galerkin Method

Marzavan¹

2022

J.Mil.Technol.

View full text Add to dashboard Cite

Our paper is focused on a subject having a great importance when Element Free Galerkin (EFG) method is used. Namely, it is about the choosing of some charateristic parameters of the kernel function. Practically, the EFG method user has to decide upon some aspects like which kernel function is going to be used, then which is the most fitted dimension of the domain support, which is the influence of the internodal distance for a better accuracy and others. This paper is based on the theoretical fundamentals of the EFG method and on our practical experience in using of the method. Our research presents some comments and recommendations accompanied by examples and processing of some results coming from practice. The author considers that despite all the progress made in the development of the EFG method, its use in the analysis of mechanical structures needs a good experience regarding some aspects on which the indications are few, or vague, or missing. The numerical examples in this work, are performing by using original programs in Matlab for solving simple problems. We consider that our conclusions are very useful not only for the beginners in using of EFGM but for those who want to know better and especially why it is better to use an one or other option.

show abstract

Section: Silvia Marzavanmentioning

confidence: 99%

On the Choice of the Weight Function and its Parameters in the Element Free Galerkin Method

Marzavan¹

2022

J.Mil.Technol.

View full text Add to dashboard Cite

show abstract

“…Equation (2) is the traditional representation of the Navier-Stokes equation but the advection term, (V · ∇) V, is a pseudovector expression making it variant under coordinate transformation. In pipe flow, cylindrical coordinates are a natural choice (it should be noted that OpenFoam will nonetheless solve the equations in Cartesian coordinates) so an invariant coordinate representation of the Navier-Stokes equation is preferred [20], i.e.,…”

Section: Governing Equationsmentioning

confidence: 99%

Mesh Twisting Technique for Swirl Induced Laminar Flow Used to Determine a Desired Blade Shape

et al. 2018

View full text Add to dashboard Cite

Swirling flow has been shown to increase heat transfer in heat exchangers. However, producing swirl while not presenting a severe pressure drop can be a challenge. In this paper, a desired shape of guidance blades for laminar swirl flow is determined by numerical simulation in OpenFOAM. Emphasis is on the mesh technique, where a predefined blade shape is formed by mesh twisting, or morphing. The validity of numerical simulations on a twisted mesh is shown by comparing it to the theoretical solution of laminar flow in a pipe without swirl and guidance blades. A sensitivity study shows that a cell size ratio of 0.025 of diameter is sufficient and affects the solution minimally. To determine the desired shape of guidance blades previously found optimal swirl decay and velocity profile for laminar swirling flow are utilized. Three blade shapes are explored: (I) with a twist angle that varies with axial location only; (II) having a deviation angle matching the theoretical deviation angle for laminar swirling flow; (III) same as II but with a hollow center. Simulations are performed for Re = 100 and swirl number S = 0.2 . Case II is able to sustain swirl longest while maintaining a low pressure drop and is therefore a desired swirler shape profile as predicted theoretically.

show abstract

“…On the other hand, in Ref. [12] a rigorous proof that along an arbitrary streamline of a three -dimensional incompressible flow field, Navier -Stokes equations reduce to Euler equations, i.e. the viscous terms are able to be eliminated.…”

mentioning

confidence: 99%

Numerical Investigation of Three-dimensional Turbulent Wind Flow around Two Square Buildings with Hip Roofs

Venetis¹

2019

cea

Self Cite

View full text Add to dashboard Cite

This computational work aims at studying the three-dimensional turbulent wind flow around two square buildings with pyramid roofs of trivial architectural forms for an arbitrary geographical location. The overall investigation substantially reduces to the fundamental problem of an external three-dimensional turbulent flow field past a mounted obstacle of predefined shape. The novelty of this research is that the independency of the numerical solution for any possible distribution of mesh points was demonstrated in a theoretical manner without the necessity of changing the original grid with simultaneous repetition of the computational process.

show abstract

On a Modified Form of Navier‐Stokes Equations for Three‐Dimensional Flows

Cited by 3 publications

References 16 publications

On the Choice of the Weight Function and its Parameters in the Element Free Galerkin Method

On the Choice of the Weight Function and its Parameters in the Element Free Galerkin Method

Mesh Twisting Technique for Swirl Induced Laminar Flow Used to Determine a Desired Blade Shape

Numerical Investigation of Three-dimensional Turbulent Wind Flow around Two Square Buildings with Hip Roofs

Contact Info

Product

Resources

About