Direct numerical simulation of turbulent channel flow up to $R{e}_{\tau }\approx 5200$

Abstract

A direct numerical simulation of incompressible channel flow at $R{e}_{\tau }$ = 5186 has been performed, and the flow exhibits a number of the characteristics of high Reynolds number wall-bounded turbulent flows. For example, a region where the mean velocity has a logarithmic variation is observed, with von Karman constant $\kappa =0.384\pm 0.004$. There is also a logarithmic dependence of the variance of the spanwise velocity component, though not the streamwise component. A distinct separation of scales exists between the large outer-layer structures and small inner-layer structures. At intermediate distances from the wall, the one-dimensional spectrum of the streamwise velocity fluctuation in both the streamwise and spanwise directions exhibits $k^{-1}$ dependence over a short range in $k$. Further, consistent with previous experimental observations, when these spectra are multiplied by $k$ (premultiplied spectra), they have a bi-modal structure with local peaks located at wavenumbers on either side of the $k^{-1}$ range.

Under consideration for publication in J. Fluid Mech

Cited by in corpus (200)

• Learning data driven discretizations for partial differential equations
• Coherent structures in wall-bounded turbulence
• A Comprehensive Physics-Informed Machine Learning Framework for Predictive Turbulence Modeling
• Physics-Informed Machine Learning Approach for Augmenting Turbulence Models: A Comprehensive Framework
• Unsupervised deep learning for super-resolution reconstruction of turbulence
• A review of turbulent skin-friction drag reduction by near-wall transverse forcing
• Grid-point and time-step requirements for direct numerical simulation and large-eddy simulation
• RANS Equations with Explicit Data-Driven Reynolds Stress Closure Can Be Ill-Conditioned
• Spectral analysis of the budget equation in turbulent channel flows at high Re
• Reynolds-dependence of turbulent skin-friction drag reduction induced by spanwise forcing
• Physics-guided deep learning framework for predictive modeling of the Reynolds stress anisotropy
• Turbulent thermal superstructures in Rayleigh-Bénard convection
• AFiD-GPU: a versatile Navier-Stokes Solver for Wall-Bounded Turbulent Flows on GPU Clusters
• One-point statistics for turbulent pipe flow up to $R{e}_{\tau }\approx 6000$
• Wall-attached structures of velocity fluctuations in a turbulent boundary layer
• Deep unsupervised learning of turbulence for inflow generation at various Reynolds numbers
• Mixed convection in turbulent channels with unstable stratification
• On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
• Extreme-scale motions in turbulent plane Couette flows
• A Library for Wall-Modelled Large-Eddy Simulation Based on OpenFOAM Technology
• Data-driven decomposition of the streamwise turbulence kinetic energy in boundary layers. Part 1. Energy spectra
• Numerical Studies of Quantum Turbulence
• The minimal-span channel for rough-wall turbulent flows
• Universality of the turbulent velocity profile
• Turbulent drag reduction by anisotropic permeable substrates $-$ analysis and direct numerical simulations
• Drag Reduction by Herringbone Riblet Texture in Direct Numerical Simulations of Turbulent Channel Flow
• Data-driven decomposition of the streamwise turbulence kinetic energy in boundary layers. Part 2. Integrated energy and $A_1$
• Transfer of mass and momentum at rough and porous surfaces
• The near-wall region of highly turbulent Taylor-Couette flow
• Non-equilibrium three-dimensional boundary layers at moderate Reynolds numbers
• Energy transfer in turbulent channel flows and implications for resolvent modelling
• Neural Network Models for the Anisotropic Reynolds Stress Tensor in Turbulent Channel Flow
• Characteristic scales of Townsend's wall attached eddies
• Turbulence closure modeling with data-driven techniques: physical compatibility and consistency considerations
• Effect of grid resolution on large eddy simulation of wall-bounded turbulence
• Natural grid stretching for DNS of wall-bounded flows
• On the detection of internal interfacial layers in turbulent flows
• Comparison between super-hydrophobic, liquid infused and rough surfaces: a DNS study
• Statistics and structure of spanwise rotating turbulent channel flow at moderate Reynolds numbers
• Extensive characterization of a high Reynolds number decelerating boundary layer using advanced optical metrology
• Resolvent-based estimation of turbulent channel flow using wall measurements
• Near-wall model for compressible turbulent boundary layers based on an inverse velocity transformation
• Compressible Velocity Transformations for Various Noncanonical Wall-Bounded Turbulent Flows
• Active and inactive components of the streamwise velocity in wall-bounded turbulence
• Error scaling of large-eddy simulation in the outer region of wall-bounded turbulence
• Single-snapshot machine learning for super-resolution of turbulence
• Structure function tensor equations in inhomogeneous turbulence
• Reynolds stress scaling in the near-wall region of wall-bounded flows
• Reynolds stress scaling in the near-wall region
• Scaling turbulence in the near-wall region
• On the wavenumber-frequency spectra of the wall pressure fluctuations in turbulent channel flow
• Systematic Study of Accuracy of Wall-Modeled Large Eddy Simulation using Uncertainty Quantification Techniques
• Energy transfer mechanisms in adverse pressure gradient turbulent boundary layers
• Structure and interpolation of the turbulent velocity profile in parallel flow
• An input-output based analysis of convective velocity in turbulent channels
• Synchronization of turbulence in channel flow
• Statistical behaviour of self-similar structures in canonical wall turbulence
• Turbulent drag reduction by spanwise wall forcing. Part 2: High-Reynolds-number experiments
• Asymptotics of stream-wise Reynolds stress in wall turbulence
• A statistical state dynamics approach to wall-turbulence
• Large-to-small scale frequency modulation analysis in wall-bounded turbulence via visibility networks
• Extended self-similarity in moment-generating-functions in wall-bounded turbulence at high Reynolds number
• Fourier continuation method for incompressible fluids with boundaries
• The hunt for the Kármán "constant'' revisited
• Consistency between the attached-eddy model and the inner-outer interaction model: a study of streamwise wall-shear stress fluctuations in a turbulent channel flow
• Turbulent drag reduction by spanwise wall forcing. Part 1: Large-eddy simulations
• A Lagrangian relaxation towards equilibrium wall model for large eddy simulation
• Revisiting the quest for a universal log-law and the role of pressure gradient in "canonical" wall-bounded turbulent flows
• Turbulent windprint on a liquid surface
• Resolution-induced anisotropy in LES
• A scaling improved inner-outer decomposition of near-wall turbulent motions
• Identification of the energy contributions associated with wall-attached eddies and very-large-scale motions in the near-neutral atmospheric surface layer through wind LiDAR measurements
• Scaling and dynamics of turbulence over sparse canopies
• Log-law recovery through reinforcement-learning wall model for large-eddy simulation
• Life-cycle of streaks in the buffer layer of wall-bounded turbulence
• Two-point correlation in wall turbulence according to the attached-eddy hypothesis
• Three-dimensional generative adversarial networks for turbulent flow estimation from wall measurements
• Passive scalar transport in rotating turbulent channel flow
• Stochastic modeling of surface scalar-flux fluctuations in turbulent channel flow using one-dimensional turbulence
• On the logarithmic profile of temperature in the atmospheric convective boundary layers
• On the streamwise velocity variance in the near-wall region of turbulent flows
• Roughness on liquid-infused surfaces induced by capillary waves
• Momentum transfer by linearised eddies in channel flows
• Wall modeling via function enrichment within a high-order DG method for RANS simulations of incompressible flow
• Reynolds-number effects on the outer region of adverse-pressure-gradient turbulent boundary layers
• A spectral-scaling based extension to the attached eddy model of wall-turbulence
• Scalable Ray Tracing Using the Distributed FrameBuffer
• The dissipation tensor ${\epsilon }_{ij}$ in wall turbulence
• An accurate finite element method for the numerical solution of isothermal and incompressible flow of viscous fluid
• Direct numerical simulation of turbulent mass transfer at the surface of an open channel flow
• Effects of resolution inhomogeneity in large-eddy simulation
• Adaptively Placed Multi-Grid Scene Representation Networks for Large-Scale Data Visualization
• Thrust Generation by Shark Denticles
• Data-driven enhancement of coherent structure-based models for predicting instantaneous wall turbulence
• Coherent structure extraction in turbulent channel flow using boundary adapted wavelets
• Small-scale resolving simulations of the turbulent mixing in confined planar jets using one-dimensional turbulence
• Effect of the Reynolds number on turbulence kinetic energy exchanges in flows with highly variable fluid properties
• Extended Lattice Boltzmann Model
• The late start of the mean velocity overlap layer at $y^{+}=\mathcal{O}(10^3)$ -- A generic feature of ducted turbulent flows
• Near-wall turbulence alteration with the Transpiration-Resistance Model
• A posteriori tests of subgrid-scale models in an isothermal turbulent channel flow
• Surface-sampled simulations of turbulent flow at high Reynolds number
• Computers and turbulence
• Progressive augmentation of Reynolds stress tensor models for secondary flow prediction by computational fluid dynamics driven surrogate optimisation
• Reynolds number effects on turbulent flow in curved channels
• Interaction between hairy surfaces and turbulence for different surface time scales
• Predictions of canonical wall bounded turbulent flows via a modified $k-\omega$ equation
• Attached flow structure and streamwise energy spectra in a turbulent boundary layer
• Examination of outer-layer similarity in wall turbulence over obstructed surfaces
• Extension of QSQH theory of scale interaction in near-wall turbulence to all velocity components
• Multiple-GPU accelerated high-order gas-kinetic scheme for direct numerical simulation of compressible turbulence
• Turbulent flows over porous lattices: alteration of near-wall turbulence and pore-flow amplitude modulation
• Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows
• Divergence-Conforming Isogeometric Collocation Methods for the Incompressible Navier-Stokes Equations
• Global energy budgets in turbulent Couette and Poiseuille flows
• Near wall patch representation of wall bounded turbulence
• Real-time and On-site Aerodynamics using Stereoscopic PIV and Deep Optical Flow Learning
• An isolated logarithmic layer
• Fractional and tempered fractional models for Reynolds-averaged Navier-Stokes equations
• A multiscale approach to hybrid RANS/LES wall modeling within a high-order discontinuous Galerkin scheme using function enrichment
• Patterns in transitional shear turbulence. Part 2: Emergence and optimal wavelength
• Active and inactive contributions to the wall pressure and wall-shear stress in turbulent boundary layers
• Evaluation of physics constrained data-driven methods for turbulence model uncertainty quantification
• Turbulent mixed convection in vertical and horizontal channels
• Efficient prediction of turbulent flow quantities using a Bayesian hierarchical multifidelity model
• Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction
• Identifying causal significance in three-dimensional isotropic turbulence
• Hydrodynamic roughness induced by a multiscale topography
• POD-mode-augmented wall model and its applications to flows at non-equilibrium conditions
• Two-point stress-strain rate correlation structure and non-local eddy viscosity in turbulent flows
• Direct Numerical Simulation of the Moist Stably Stratified Surface Layer: Turbulence and Fog Formation
• Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer
• Stochastic modelling of the instantaneous velocity profile in rough-wall turbulent boundary layers
• Transport and modeling of subgrid-scale turbulent kinetic energy in channel flows
• Much faster heat/mass than momentum transport in rotating Couette flows
• Wall modeling via function enrichment: extension to detached-eddy simulation
• Bulk flow scaling for turbulent channel and pipe flows
• Vorticity cascade and turbulent drag in wall-bounded flows: plane Poiseuille flow
• Linearised Reynolds-Averaged predictions of secondary currents in turbulent channels with topographic heterogeneity
• Role of various scale-similarity models in stabilized mixed subgrid-scale model
• Numerical dispersion effects on the energy cascade in large-eddy simulation
• Analysis of anisotropic subgrid-scale stress for coarse large-eddy simulation
• A Divergence-Conforming Hybridized Discontinuous Galerkin Method for the Incompressible Reynolds Averaged Navier-Stokes Equations
• Evidence of quasi equilibrium in pressure-gradient turbulent boundary layers
• A Temporal Slow Growth Formulation for Direct Numerical Simulation of Compressible Wall--Bounded Flows
• Implementation and performance analysis of efficient grid-free integral wall models in unstructured-grid LES solvers
• The eddies are attached, but it is all right
• A new ODE-based turbulence wall model accounting for pressure gradient and Reynolds number effects
• Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions
• Robust and Efficient Multilevel-ILU Preconditioning of Hybrid Newton-GMRES for Incompressible Navier-Stokes Equations
• Unlikely existence of $k_x^{-1}$ spectral law in wall turbulence: an observation of the atmospheric surface layer
• Impact of Spanwise Rotation on Flow Separation and Recovery Behind a Bulge in Channel Flows
• High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows
• Threshold transient growth as a criterion for turbulent mean profiles
• Bounded dissipation law and profiles of turbulent velocity moments in wall flows
• Uniform representation of the turbulent velocity profile in an open channel
• Data compression for turbulence databases using spatio-temporal sub-sampling and local re-simulation
• Non-intrusive Balancing Transformation of Highly Stiff Systems with Lightly-damped Impulse Response
• Improved self-consistency of the Reynolds stress tensor eigenspace perturbation for uncertainty quantification
• Grid-Adaptation for Wall-Modeled Large Eddy Simulation Using Unstructured High-Order Methods
• Multiscale circulation in wall-parallel planes of turbulent channel flows
• Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations
• On a linear stability issue of split form schemes for compressible flows
• Further analysis of the budgets of the dissipation tensor ${\epsilon }_{ij}$ in turbulent plane channel flow
• A unified understanding of scale-resolving simulations and near-wall modeling of turbulent flows using optimal finite element projections
• How far does the influence of the free surface extend in turbulent open channel flow?
• Convolutional Neural Network Models and Interpretability for the Anisotropic Reynolds Stress Tensor in Turbulent One-dimensional Flows
• Large-scale structures in high Reynolds number rotating Waleffe flow
• Logarithmic scaling for fluctuations of a scalar concentration in wall turbulence
• High-order gas-kinetic scheme in general curvilinear coordinate for iLES of compressible wall-bounded turbulent flows
• Temperature transformation recovering the compressible law of the wall for turbulent channel flow
• Using Physics Informed Neural Network (PINN) and Neural Network (NN) to Improve a $k-\omega$ Turbulence Model
• Turbulence-Resolving Integral Simulations for Wall-Bounded Flows
• An elementary example of contrasting laminar and turbulent flow physics
• Logarithmic and nonlogarithmic scaling laws of two-point statistics in wall turbulence
• Slow-growth approximation for near-wall patch representation of wall-bounded turbulence
• Determining a priori a RANS model's applicable range via global epistemic uncertainty quantification
• Progressive Mixture-of-Experts with autoencoder routing for continual RANS turbulence modelling
• Velocity transformation for compressible wall-bounded turbulent flows with and without heat transfer
• Fractional models of Reynolds-averaged Navier-Stokes equations for Turbulent flows
• A low-communication-overhead parallel method for the 3D incompressible Navier-Stokes equations
• Datasets for Benchmarking Floating-Point Compressors
• On skin friction in wall-bounded turbulence
• Complete eddy self-similarity in turbulent pipe flow
• The role of bulk eddy-viscosity variation on the log-layer mismatch observed in wall-modeled large-eddy simulations
• A block-random algorithm for learning on distributed, heterogeneous data
• A mixing length model for arbitrary geometry: the case of parallel flows
• Direct numerical simulations of supersonic three-dimensional turbulent boundary layers
• Constructing wall turbulence using hierarchical hairpin vortices
• Vortex Detection from Quantum Data
• On the wall-normal velocity variance in canonical wall-bounded turbulence
• On the Reynolds-number scaling of Poisson solver complexity
• Triggering of extreme events and coherent-structure modulation in wall-turbulence under cyclostationary forces
• Flux-controlled wall model for large eddy simulation integrating the compressible law of the wall
• A self-sustaining process theory for uniform momentum zones and internal shear layers in high Reynolds number shear flows
• From limited observations to the state of turbulence: Fundamental difficulties of flow reconstruction
• Predictive modeling of passive scalar transfer to a wall using stochastic one-dimensional turbulence
• A model under location uncertainty to predict the mean velocity in wall bounded flows
• Triple Hill's Vortex Synthetic Eddy Method
• Application of Modal Filtering in Discontinuous Spectral Element Method for Simulation of Compressible Channel Flow at Different Reynolds Numbers