High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set

Nourgaliev, Robert; Theofanous, T.G.

doi:10.1016/j.jcp.2006.10.031

Cited by 119 publications

(84 citation statements)

References 47 publications

(98 reference statements)

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“…To accurately resolve the sharp interface profile, a 5th-order upstream central scheme (Nourgaliev & Theofanous 2007) was employed for the convective term of equation (2.8). The compression and diffusion terms in equation (2.9) were spatially discretized by second-order central differencing.…”

Section: Level Set Methodsmentioning

confidence: 99%

The effect of a low-viscosity near-wall film on bypass transition in boundary layers

Jung

Zaki

2015

J. Fluid Mech.

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Bypass transition in a two-fluid boundary layer is examined using direct numerical simulations. A less viscous wall film is considered and the impact on transition location is evaluated at two different viscosity ratios and free-stream turbulence intensities. The less viscous wall film absorbs the mean shear from the outer stream, weakens the lift-up mechanism, and alters the disturbance field inside the boundary layer. These effects all favour a delay in the onset of bypass transition. However, the viscosity and mean-shear discontinuities across the two-fluid interface introduce a new mechanism for the generation of wall-normal vorticity in the boundary layer, and can therefore promote transition to turbulence. Conditionally-averaged statistics and streak tracking techniques are adopted in order to examine the impact of the wall film on the bypass transition process. It is shown that the weaker amplification of the streaks in the outer fluid can delay breakdown to turbulence, despite the additional disturbance generation at the two-fluid interface. The efficacy of the wall film in delaying transition is demonstrated at moderate level of free-stream turbulence intensity, but is reduced as the turbulence intensity is increased.

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Section: Level Set Methodsmentioning

confidence: 99%

The effect of a low-viscosity near-wall film on bypass transition in boundary layers

Jung

Zaki

2015

J. Fluid Mech.

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“…This behavior can be understood by examining the variance equation corresponding to Eq. (14). Upon volume-averaging, applying the condition of homogeneity, and recalling the definition of χ , Eq.…”

Section: B Derivation Of the Proposed Linear Scalar Forcing Termmentioning

confidence: 99%

“…Assuming the scalar transport scheme implemented in the numerical solver is energy conserving, this production term is sufficient to produce a scalar field with a constant time-averaged variance. However, if the transport scheme implemented is not energy conserving (e.g., WeightedEssentially Non-Oscillatory (WENO), 13 High-Order Upwind Convective (HOUC), 14 or Quadratic Upstream Interpolation for Convective Kinematics (QUICK) 15 schemes), then there will be losses in scalar variance due to numerical diffusion. These losses can be easily compensated for via the addition of a second term, which is active only when the effects of numerical diffusion manifest in the scalar field.…”

Section: Compensating For Discretization Errors and Controlling Thmentioning

confidence: 99%

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A novel forcing technique to simulate turbulent mixing in a decaying scalar field

2013

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To realize the full potential of Direct Numerical Simulation in turbulent mixing studies, it is necessary to develop numerical schemes capable of sustaining the flow physics of turbulent scalar quantities. In this work, a new scalar field forcing technique, termed "linear scalar forcing," is presented and evaluated for passive scalars. It is compared to both the well-known mean scalar gradient forcing technique and a low waveshell spectral forcing technique. The proposed forcing is designed to capture the physics of one-time scalar variance injection and the subsequent self-similar turbulent scalar field decay, whereas the mean scalar gradient forcing and low waveshell forcing techniques are representative of continuous scalar variance injection. The linear scalar forcing technique is examined over a range of Schmidt numbers, and the behavior of the proposed scalar forcing is analyzed using single and two-point statistics. The proposed scalar forcing technique is found to be perfectly isotropic, preserving accepted scalar field statistics (fluxes) and distributions (scalar quantity, dissipation rate). Additionally, it is found that the spectra resulting from the three scalar forcing techniques are comparable for unity Schmidt number conditions, but differences manifest at high Schmidt numbers. These disparities are reminiscent of those reported between scaling arguments suggested by theoretical predictions and experimental results for the viscous-convective subrange. C 2013 AIP Publishing LLC. [http://dx

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“…On top of the driving considerations for the original SIM (20,21,22,23) : The key feature in meeting requirements (a-c) was the combination of a structured (Carterian, or C 1 -) grid with an unstructured (cut-cell, or C 2 -) grid defining the interface (piecewise-linearly) and anchored on a level-set-, markertracking-based procedure. The C 2 -grid is continuously adapting to the interface evolution, inside an interfacial corridor, while remaining consistently embedded into a (structured-) adaptive Cartesian (C 1 -) grid in the bulk fluids.…”

Section: Basic Considerationsmentioning

confidence: 99%

Direct Numerical Simulation of Interfacial Flows: Implicit Sharp-Interface Method (I-SIM)

Theofanous

Park

Mousseau

et al. 2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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In recent work (Nourgaliev, Liou, Theofanous, JCP in press) we demonstrated that numerical simulations of interfacial flows in the presence of strong shear must be cast in dynamically sharp terms (sharp interface treatment or SIM), and that moreover they must meet stringent resolution requirements (i.e., resolving the critical layer). The present work is an outgrowth of that work aiming to overcome consequent limitations on the temporal treatment, which become still more severe in the presence of phase change. The key is to avoid operator splitting between interface motion, fluid convection, viscous/heat diffusion and reactions; instead treating all these non-linear operators fully-coupled within a Newton iteration scheme. To this end, the SIM's cut-cell meshing is combined with the high-orderaccurate implicit Runge-Kutta and the "recovery" Discontinuous Galerkin methods along with a Jacobian-free, Krylov subspace iteration algorithm and its physics-based preconditioning. In particular, the interfacial geometry (i.e., marker's positions and volumes of cut cells) is a part of the Newton-Krylov solution vector, so that the interface dynamics and fluid motions are fully-(non-linearly)-coupled. We show that our method is: (a) robust (L-stable) and efficient, allowing to step over stability time steps at will while maintaining high-(up to the 5 th )-order temporal accuracy; (b) fully conservative, even near multimaterial contacts, without any adverse consequences (pressure/velocity oscillations); and (c) highorder-accurate in spatial discretization (demonstrated here up to the 12 th -order for smoothin-the-bulk-fluid flows), capturing interfacial jumps sharply, within one cell. Performance is illustrated with a variety of test problems, including low-Mach-number "manufactured" solutions, shock dynamics/tracking with slow dynamic time scales, and multi-fluid, highspeed shock-tube problems. We briefly discuss preconditioning, and we introduce two physics-based preconditioners -"Block-Diagonal" and "Internal energy-Pressure-Velocity Partially Decoupled", demonstrating the ability to efficiently solve all-speed flows with strong effects from viscous dissipation and heat conduction.

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High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set

Cited by 119 publications

References 47 publications

The effect of a low-viscosity near-wall film on bypass transition in boundary layers

The effect of a low-viscosity near-wall film on bypass transition in boundary layers

A novel forcing technique to simulate turbulent mixing in a decaying scalar field

Direct Numerical Simulation of Interfacial Flows: Implicit Sharp-Interface Method (I-SIM)

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