A finite element variational multiscale method for incompressible flow

Jiang, Yu; Mei, Liquan; Wei, Huiming

doi:10.1016/j.amc.2015.05.055

Cited by 6 publications

(2 citation statements)

References 30 publications

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“…Lid-driven cavity flow is a common problem that has been studied comprehensively and has not lost its position as a standard problem for viscous incompressible fluid flows. In recent years, the vast application of CFD in the fields of electronics, crystal growth, and food processing has led to an increase in the number of studies on LDC, along with the diverse parameters involved, such as the Reynolds number [6][7][8][9]. The LDC problem is a simple 2D problem involving a square area with one wall, preferably the top wall, moving with a familiar velocity, and the remaining three walls are immobile.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

Hegde,

Bendre,

Perumal

2023

RAiSE-2023

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Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

Hegde,

Bendre,

Perumal

2023

RAiSE-2023

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“…In recent past many articles have been dedicated to exploring various other computational techniques to compute incompressible fluid flow in lid driven cavities. Some of the well-known techniques are Gradient Smoothing Method (GSM) [7], Finite Element Method (FEM) [8], Finite Volume Method (FVM) [9] and Smooth Particle Hydrodynamics [10].…”

Section: Introductionmentioning

confidence: 99%

Flow Dynamics of Lid-Driven Cavities With Obstacles of Various Shapes and Configurations Using the Lattice Boltzmann Method

Rajan¹,

Perumal²

2021

Journal of Thermal Engineering

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This work implements the emerging computational technique namely the Lattice Boltzmann Method (LBM) to a fluid flow problem of single sided lid-driven cavities with various shapes of obstacles placed in it. The numerical methodology employs the Single-Relaxation-Time (SRT) model applicable to low Mach number hydrodynamic problem for incompressible flow regime. Three geometrical shapes of the obstacles considered are circular, square, and elliptic. Cavity with obstacles exhibited remarkable circulation zones and structures in contrast to the classical lid driven cavity. The flow mechanics and the vortex dynamics are studied for various values of Reynolds Number (Re = 100, 400, and 1000). Due to the introduction of the obstacles, a strong induced vortex forms close to the obstacles and its size changes interestingly with the variation of Reynolds number, which is captured by LBM. Further the study is extended to examine the vortex phenomena induced by changing the position of the obstacles within the cavity. It is observed that the flow structures change dramatically with little change in the position of obstacle inside the cavity which helps to identify position with enhanced mixing characteristics.

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Numerical analysis of fluid flows in L-Shaped cavities using Lattice Boltzmann method

Bhopalam

Perumal

2020

Applications in Engineering Science

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A finite element variational multiscale method for incompressible flow

Cited by 6 publications

References 30 publications

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

Flow Dynamics of Lid-Driven Cavities With Obstacles of Various Shapes and Configurations Using the Lattice Boltzmann Method

Numerical analysis of fluid flows in L-Shaped cavities using Lattice Boltzmann method

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