Stability Enhanced High-Order Hyperviscosity-Based Shock Capturing Algorithm

Kaul, Upender K.

doi:10.2514/1.j051704

Cited by 4 publications

(1 citation statement)

References 26 publications

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“…It has been extensively studied theoretically for problems that involve non-smooth or non-periodic functions that have analytical expressions [10][11][12]; however, the approaches proposed for treating the oscillations are not always directly transferable to numerical solutions of discrete functions. For practical computational physics and engineering applications, the challenge imposed by the "oscillations" associated with the Gibbs ringing spans across different disciplines, such as environmental turbulent flows [13,14], aeroacoustics [15,16] and reactive chemical transport [17], and various strategies have been attempted to mitigate it.…”

Section: Introductionmentioning

confidence: 99%

The impact and treatment of the Gibbs phenomenon in immersed boundary method simulations of momentum and scalar transport

Bou‐Zeid

Anderson

2016

Journal of Computational Physics

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Spectral discretization of quantities exhibiting abrupt shifts results in oscillations, or "ringing", known as the Gibbs phenomenon. When spectral discretization is used to evaluate spatial gradients during numerical integration of the transport equations governing turbulent fluid flows, these oscillations can contaminate various flow quantities. A particularly relevant application where the emergence of Gibbs phenomenon is a well-recognized weakness is in the context of simulations using the immersed boundary method. In this paper, we examine the effect of the Gibbs phenomenon in such simulations in detail, and we propose a computationally efficient smoothing treatment to reduce the associated oscillations. The effectiveness of this treatment is demonstrated in a priori tests on functions with abrupt shifts, and in a posteriori tests in wall-modeled large-eddy simulations of incompressible flow and passive scalar transport over solid bluff bodies. Furthermore, the large eddy simulation results indicate that the Gibbs phenomenon's impacts are significantly more detrimental

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Section: Introductionmentioning

confidence: 99%

The impact and treatment of the Gibbs phenomenon in immersed boundary method simulations of momentum and scalar transport

Bou‐Zeid

Anderson

2016

Journal of Computational Physics

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Drag Characterization Study of Variable Camber Continuous Trailing Edge Flap

Kaul

Nguyen

2018

Journal of Fluids Engineering

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A Reynolds-averaged Navier–Stokes (RANS) computational study was conducted to investigate the effect of various variable camber continuous trailing edge flap (VCCTEF) configurations on the lift and drag of a NASA generic transport model (GTM) wing section. Out of the five two-dimensional (2D) VCCTEF configurations considered with varying camber in the three-segment flap region, with a total deflection of 6 deg, the best stall performance was exhibited by the circular and parabolic arc camber flaps. Both circular and parabolic arc flaps give similar lift performance, with the circular arc yielding a higher lift coefficient and parabolic arc resulting in the lowest drag and hence the best L/D performance at design Cl. Analysis of results based on linear theory shows excellent agreement between computed and theoretical incremental lift.

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An Active Flow Control Approach for Spatially Growing Mixing Layer

Kaul

2022

Journal of Fluids Engineering

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A control approach is proposed in this study that controls the growth of a spatially growing mixing layer in an open loop. Due to the similarity of the mixing layer dynamics in the temporal and spatial domains, the control is exercised in the temporal domain that leads to optimization of the layer in the spatial domain. The proportional-integral-derivative (PID) control in the temporal domain uses Navier-Stokes equations as the plant model. Apart from being prohibitively expensive, control in the spatial domain presents convective time delay problems. These barriers are circumvented by solving the control problem in the temporal domain very rapidly, based on a given set point in the linear regime. Once the set point in the temporal domain is reached, the corresponding initial conditions in the temporal domain are mapped to inflow boundary conditions in the spatial domain. With these mapped inflow boundary conditions in the spatial domain, the spatial development of the mixing layer is followed, which confirms the efficacy of control in the spatial domain. The present control methodology offers a new paradigm for control of the spatially growing mixing layer.

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Stability Enhanced High-Order Hyperviscosity-Based Shock Capturing Algorithm

Cited by 4 publications

References 26 publications

The impact and treatment of the Gibbs phenomenon in immersed boundary method simulations of momentum and scalar transport

The impact and treatment of the Gibbs phenomenon in immersed boundary method simulations of momentum and scalar transport

Drag Characterization Study of Variable Camber Continuous Trailing Edge Flap

An Active Flow Control Approach for Spatially Growing Mixing Layer

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