A dimensionless numerical mesh-free model for the compressible fluid flows

Rammane, Mohammed; Mesmoudi, Said; Tri, Abdeljalil; Braikat, Bouazza; Damil, Noureddine

doi:10.1016/j.compfluid.2021.104845

Cited by 18 publications

(8 citation statements)

References 38 publications

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“…The second part of the numerical examples section concerns L‐shaped cavity (see Figure 7). In order to test the influence of the geometry of the cavity on the Reynolds number reached as discussed in References 10‐12, we propose in this part to study the fluid flow in an L‐shaped cavity treated in several works in particular in Reference 59. The L‐shaped cavity makes it possible to observe the phenomena encountered both in the rectangular cavity and backward facing step flows and therefore to reveal several recirculation zones.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Later, the authors use the geometrical progression and Lyapunov–Schmidt reduction with the mesh‐free approach to investigate successively bifurcation problem of a sudden expansion fluid flow with different inlets and geometries 11 . Then the proposed mesh‐free approach was also coupled with the homopic technique to study the compressible flows using a dimensional analysis 12 . In the context of dynamic flow, these approaches have been improved by a Hopf bifurcation study for an incompressible flow in Reference 13.…”

Section: Motivation and Related Workmentioning

confidence: 99%

“…The use of such a numerical approach could be limited or motivated by testing this factor. Among the best‐known meshless methods in the literature, we find Smooth Particle Hydrodynamics (SPH), 6‐8 Moving Least Squares (MLS) approximation, 2,9‐13 Reproducing Kernel Particle Method (RKPM), 14 Element‐Free Galerkin Methods (EFGM), 15 Taylor meshless method, 16 and Method of Fundamental Solutions (MFS), 17,18 Radial Basis Function 19‐21 …”

Section: Introductionmentioning

confidence: 99%

“…The use of such a numerical approach could be limited or motivated by testing this factor. Among the best-known meshless methods in the literature, we find Smooth Particle Hydrodynamics (SPH), [6][7][8] Moving Least Squares (MLS) approximation, 2,[9][10][11][12][13] Reproducing Kernel Particle Method (RKPM), 14 Element-Free Galerkin Methods (EFGM), 15 Taylor meshless method, 16 and Method of Fundamental Solutions (MFS), 17,18 Radial Basis Function. [19][20][21] Regarding incompressible fluid flows, the need for careful software to treat the coupling between pressure and velocity fields in (N-S)-equations leads to develop mathematical models and numerical simulations as prediction means.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Drissi,

Mesmoudi,

Mansouri

2023

Numerical Methods in Fluids

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An accurate numerical tool is presented in this work to investigate the stationary incompressible Navier–Stokes equations. The proposed approach is based on a pseudo‐spectral method for discretizing the differential equations and the asymptotic numerical method to convert nonlinear systems into linear algebraic equations. The coupling of the spectral method with the asymptotic numerical method is considered as an efficient algorithm to solve any nonlinear differential equations. Their efficiency and robustness are examined here on the flow fluid in different canal with different geometries. These computational efficiency and performance have been analysed via several numerical and benchmark examples of incompressible fluid flow in lid‐driven cavity and vortex shedding over L‐Shaped cavity and fluid flow around a square obstacle. The validation of the proposed approach is made by comparison between the obtained results and those calculated using a finite element method or Ansys commercial code. This validation asserts that the presented numerical tool can be promise for solving fluid flow problems with high accuracy.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Motivation and Related Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Drissi,

Mesmoudi,

Mansouri

2023

Numerical Methods in Fluids

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“…In this part, we show the advantage of the proposed model to calculate the periodicity of the flow for these regimes for

\mathit{\operatorname{Re}}=100

. Due to the lack of information on the different values of the aspect ratio

{A}_r

, direct dynamic simulation of Navier–Stokes equations by HO‐MFA 35‐38,41 is used for a comparison on the influence of

{A}_r

St

. The implicit time‐marching scheme is used in the direct dynamic mesh‐free approach.…”

Section: Numerical Applicationmentioning

confidence: 99%

Mesh‐free model for Hopf's bifurcation points in incompressible fluid flows problems

Rammane

Mesmoudi

Tri

et al. 2022

Numerical Methods in Fluids

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In this article, a new numerical model is proposed to detect numerically the Hopf bifurcation point of incompressible fluid flows problems. The concept of this model consists to propose a Hopf bifurcation indicator which is solved by a high order mesh free algorithm (HO‐MFA) using the moving least squares (MLS) approximation. This numerical model is based on a strong formulation of Navier–Stokes equations. This procedure allowed us to recover the results of the literature in 3D$$ 3D $$ using only a 2D$$ 2D $$ modelization for low Reynolds number. This new model is tested on the classical flow around a cylindrical obstacle and the backward‐facing step flow to show the advantage and ability of the proposed model to detect the bifurcation points and to determinate the flow periodicity.

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Radial point interpolation‐Chebychev method with asymptotic numerical method for nonlinear buckling analysis of graphene oxide powder‐reinforced composite beams

Askour,

Rammane,

Mesmoudi

et al. 2024

Numerical Meth Engineering

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SummaryThis study aims to analyze the buckling and post‐buckling behaviors of multilayer nanocomposite beams reinforced with graphene oxide powders (GOPs) at low concentrations. The GOPs are randomly oriented and evenly distributed throughout the composite layers, with their weight fraction varying in the thickness direction. The Halpin‐Tsai model is employed to estimate each layer's effective material properties. The nonlinear governing equations for the FG‐GOPRC beam are derived based on the first‐order shear deformation beam theory, and a nonlinear algebraic system is formulated using the principle of potential energy. In this research, a comprehensive parametric analysis is conducted to examine the influence of various factors on the buckling and post‐buckling behaviors of the composite beams. These factors include the distribution pattern and weight fraction of graphene platelets (GPLs) nanofillers, as well as the geometry, size, slenderness ratio, and boundary conditions of the beams. Through the analysis, the study highlights the significant strengthening effect of these factors on the buckling and post‐buckling performance of the composite beams. The findings from this investigation contribute to a deeper understanding of the behavior of multilayer nanocomposite beams reinforced with GOPs. This knowledge can be valuable in designing and optimizing of composite structures for enhanced buckling resistance and post‐buckling performance.

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A dimensionless numerical mesh-free model for the compressible fluid flows

Cited by 18 publications

References 38 publications

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Mesh‐free model for Hopf's bifurcation points in incompressible fluid flows problems

Radial point interpolation‐Chebychev method with asymptotic numerical method for nonlinear buckling analysis of graphene oxide powder‐reinforced composite beams

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