Topology of corner vortices in the lid-driven cavity flow: 2D vis a vis 3D

Biswas, Sougata; Kalita, Jiten C.

doi:10.1007/s00419-020-01716-0

Cited by 7 publications

(3 citation statements)

References 27 publications

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“…After a critical value of [p 2 /p 1 ] ≥ 1.5, the Mach type of shock reflection increases the shock loading on the cavity, and the overall wall-static pressure increases, rapidly. The first bucket or drop-in [p/p ∞ ] between 0 ≤ [s/D] ≤ 1 marks the presence of multiple corner vortices 69 (see label-13 in Figure 6) that are conventionally seen in subsonic corner flows. Due to [p 2 /p 1 > 1], the corner vortices disappear, and the suction level flattens.…”

Section: Rear Wallmentioning

confidence: 99%

Shock and shear layer interaction in a confined supersonic cavity flow

Karthick

2021

Preprint

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The impinging shock of varying strengths on the free shear layer in a confined supersonic cavity flow is studied numerically using the detached-eddy simulation. The resulting spatiotemporal variations are analyzed between the different cases using unsteady statistics, x − t diagrams, spectral analysis, and modal decomposition. A confined passage height of H/D = 2 and a cavity of length to depth ratio L/D = 2 at a freestream Mach number of M ∞ = 1.71 is considered. Impinging shock strength is controlled by changing the ramp angle (θ ) on the top-wall. The static pressure change across the impinging shock (p 2 /p 1 ) is used to quantify the shock strength. Five different cases are realized: [p 2 /p 1 ] = 1.0, 1.2, 1.5, 1.7 and 2.0. At [p 2 /p 1 ] = 1.5, fundamental fluidic mode or Rossiter's frequency corresponding to n = 1 mode vanishes whereas frequencies correspond to higher modes (n = 2 and 4) resonate. Wavefronts interaction from the longitudinal reflections inside the cavity with the transverse disturbances from the shock-shear layer interactions is identified to drive the strong resonant behavior. Due to Mach-reflections inside the confined passage at [p 2 /p 1 ] = 2.0, shock-cavity resonance is lost. Besides, the cavity wall experiences a higher pressure of 25% for [p 2 /p 1 ] = 1.0 due to shock loading. Based on the present findings, an idea to use a shock-laden confined cavity flow in an enclosed supersonic wall-jet configuration as passive flow control or a fluidic device is also demonstrated.

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Section: Rear Wallmentioning

confidence: 99%

Shock and shear layer interaction in a confined supersonic cavity flow

Karthick

2021

Preprint

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“…Mendu and Das [4] simulated lid-driven cavity flow with a periodically oscillating lid. Biswas and Kalita [5] gained some physical insights of the topology of corner vortices in 2D vis a 3D vis driven cavity. Dalai and Laha [6] interpreted the conservative solutions of Navier-Stokes equations (NSEs) in the stream function-vorticity form.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Incompressible Fluid Flow in Two-sided Converging and Diverging Lid-driven Square Cavity

Yadav,

Singh Yadav,

Makinde

et al. 2024

Period. Polytech. Mech. Eng.

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The present study focuses on the predictions of flow behavior, streamlines and some other factors of a two adjacent-sided converging and diverging lid-driven square cavity filled with fluid. In the diverging case, the top wall of the cavity is considered to be in motion from left to right, and the left wall is considered to be in motion from top to bottom simultaneously with identical speeds. It is found that for a low Reynolds number, the flow behavior seems to be symmetric with respect to one of the diagonals of the cavity, and at a critical Reynolds number 1121, the symmetry of the flow behavior blows up, and an asymmetric form is obtained due to the increased inertia and turbulence effects. Any increment in the Reynolds number above the critical Reynolds number develops this asymmetry gradually more and more. In the second phenomenon, the converging phenomenon, the top wall of the cavity is assumed to be in motion from left to right, and the right wall is assumed to be in motion from bottom to top simultaneously with identical speeds so that they converge at the corner of the cavity. This case gives rise to two critical Reynolds numbers Re = 969 and Re = 2053 and the flow behavior for both asymmetric states was found to be opposite. Furthermore, the rate of convergence of the present methodology, lattice Boltzmann methodology, for various Reynolds numbers is found to be very high except for the critical and their nearby Reynolds numbers.

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“…The lid-driven cavity flow as a benchmark problem has attracted much attention in PINNs [13] . The Reynolds number Re is the characteristic parameter of the cavity flow, and it is widely accepted that the cavity flow is steady when Re < 5 000 [14] . It is the ideal model for validating and studying the accuracy and efficiency of numerical methods as well as PINNs.…”

Section: Introductionmentioning

confidence: 99%

An artificial viscosity augmented physics-informed neural network for incompressible flow

Wang

Xiang

et al. 2023

Appl. Math. Mech.-Engl. Ed.

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Physics-informed neural networks (PINNs) are proved methods that are effective in solving some strongly nonlinear partial differential equations (PDEs), e.g., Navier-Stokes equations, with a small amount of boundary or interior data. However, the feasibility of applying PINNs to the flow at moderate or high Reynolds numbers has rarely been reported. The present paper proposes an artificial viscosity (AV)-based PINN for solving the forward and inverse flow problems. Specifically, the AV used in PINNs is inspired by the entropy viscosity method developed in conventional computational fluid dynamics (CFD) to stabilize the simulation of flow at high Reynolds numbers. The newly developed PINN is used to solve the forward problem of the two-dimensional steady cavity flow at Re = 1 000 and the inverse problem derived from two-dimensional film boiling. The results show that the AV augmented PINN can solve both problems with good accuracy and substantially reduce the inference errors in the forward problem.

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Topology of corner vortices in the lid-driven cavity flow: 2D vis a vis 3D

Cited by 7 publications

References 27 publications

Shock and shear layer interaction in a confined supersonic cavity flow

Shock and shear layer interaction in a confined supersonic cavity flow

Lattice Boltzmann Simulation of Incompressible Fluid Flow in Two-sided Converging and Diverging Lid-driven Square Cavity

An artificial viscosity augmented physics-informed neural network for incompressible flow

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