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arXiv2019

A HWENO Reconstruction Based High-order Compact Gas-kinetic Scheme on Unstructured Meshes

As an extension of previous fourth-order compact gas kinetic scheme (GKS) on structured meshes (Ji et al. 2018), this work is about the development of a third-order compact GKS on unstructured meshes for the compressible Euler and Navier-Stokes solutions. Based on the time accurate high-order gas-kinetic evolution solution at a cell interface, the time dependent gas distribution function in GKS provides not only the flux function and its time derivative at a cell interface, but also the time accurate flow variables there at next time level. As a result, besides updating the conservative flow variables inside each control volume through the interface fluxes, the cell averaged first-order spatial derivatives of flow variables in the cell can be also obtained using the updated flow variables at the cell interfaces around that cell through the divergence theorem. Therefore, with the flow variables and their first-order spatial derivatives inside each cell, the Hermite WENO (HWENO) techniques can be naturally implemented for the compact high-order reconstruction at the beginning of a new time step. Following the reconstruction method in (Zhu et al. 2018), a new HWENO reconstruction on triangular meshes is designed in the current scheme. Combined with a two-stage temporal discretization and second-order gas-kinetic flux function, a third-order spatial and temporal accuracy in the current compact scheme can be achieved. Accurate solutions can be obtained for both inviscid and viscous flows without sensitive dependence on the quality of triangular meshes. The robustness of the scheme has been validated as well through the cases with strong shocks in the hypersonic viscous flow simulations.

physics.comp-ph↗

arXiv2018

Aerodynamic Loads Alteration by Gurney Flap on Supercritical Airfoils at Transonic Speeds

Effects of a gurney flap were numerically investigated on the supercritical NASA airfoil by solving the two-dimensional Reynolds-averaged Navier-Stokes equations for a range of transonic Mach numbers and angles of attack, using turbulence compressible KW SST model. The height of the gurney flap was selected to be 1.65 percent chord length. A high-resolution mesh was applied to accurately predict the flow field specifically in the vicinity of the airfoil. Below the drag divergence Mach number, the gurney flap has a remarkable influence on the aerodynamic coefficients especially at -1 and 0 degrees angle of attack resulting in 50 percent increase in L over D ratio. At high Mach numbers and angles of attack, Gurney flap loses its effects and the clean airfoil has better aerodynamic performance since it significantly boosts both the pressure and shear drag. It was observed that the gurney flap mitigates the transonic lambda shock on both surfaces of the airfoil. Moreover, it alters the Kutta condition by changing the separation point location at the trailing edge which provides the airfoil more bound circulation and lift force.

physics.flu-dyn↗

arXiv2018

Deep learning approach in multi-scale prediction of turbulent mixing-layer

Achievement of solutions in Navier-Stokes equation is one of challenging quests, especially for its closure problem. For achievement of particular solutions, there are variety of numerical simulations including Direct Numerical Simulation (DNS) or Large Eddy Simulation (LES). These methods analyze flow physics through efficient reduced-order modeling such as proper orthogonal decomposition or Koopman method, showing prominent fidelity in fluid dynamics. Generative adversarial network (GAN) is a reprint of neurons in brain as combinations of linear operations, using competition between generator and discriminator. Current paper propose deep learning network for prediction of small-scale movements with large-scale inspections only, using GAN. Therefore DNS result of three-dimensional mixing-layer was filtered blurring out the small-scaled structures, then is predicted of its detailed structures, utilizing Generative Adversarial Network (GAN). This enables multi-resolution analysis being asked to predict fine-resolution solution with only inspection of blurry one. Within the grid scale, current paper present deep learning approach of modeling small scale features in turbulent flow. The presented method is expected to have its novelty in utilization of unprocessed simulation data, achievement of 3D structures in prediction by processing 3D convolutions, and predicting precise solution with less computational costs.

physics.comp-ph↗

arXiv2018

Relaminarization of pipe flow by means of 3d-printed shaped honeycombs

Based on a novel control scheme, where a steady modification of the streamwise velocity profile leads to complete relaminarization of initially fully turbulent pipe flow, we investigate the applicability and usefulness of custom-shaped honeycombs for such control. The custom-shaped honeycombs are used as stationary flow management devices which generate specific modifications of the streamwise velocity profile. Stereoscopic particle image velocimetry and pressure drop measurements are used to investigate and capture the development of the relaminarizing flow downstream these devices. We compare the performance of straight (constant length across the radius of the pipe) honeycombs with custom-shaped ones (variable length across the radius). An attempt is made to find the optimal shape for maximal relaminarization at minimal pressure loss. The maximum attainable Reynolds number for total relaminarization is found to be of the order of 10.000. Consequently the respective reduction in skin friction downstream of the device is almost by a factor of 5. The break-even point, where the additional pressure drop caused by the device is balanced by the savings due to relaminarization and a net gain is obtained, corresponds to a downstream stretch of distances as low as approx.\ 100 pipe diameters of laminar flow.

physics.flu-dyn↗

arXiv2018

One-point and two-point statistics of homogeneous isotropic decaying turbulence with variable viscosity

The decay of homogeneous isotropic turbulence in a variable viscosity fluid with a viscosity ratio up to 15 is analyzed by means of highly resolved direct numerical simulations (DNS) at low Reynolds numbers. The question addressed by the present work is how quantities such as the kinetic energy and the associated dissipation rate, as well as the inter-scale transport mechanism of turbulence are changed by local fluctuations of the viscosity. From the one-point budget equation of the turbulent kinetic energy, it is shown that the mean dissipation rate is nearly unchanged by variable viscosity effects. This result is explained by a negative correlation between the local viscosity and the local velocity gradients. However, the dissipation is a highly fluctuating quantity with a strong level of intermittency. From a statistical analysis it is shown that turbulent flows with variable viscosity are characterized by an enhanced level of small-scale intermittency, which results in the presence of smaller length scales and a modified turbulent mixing. The effect of variable viscosity on the turbulent cascade is analyzed by a budget equation for the velocity structure function. From DNS it is shown that viscosity gradients contribute to the inter-scale transport mechanism in the form of an inverse transport, where information propagates from the small scales to the large scales.

physics.flu-dyn↗

arXiv2018

Non-intrusive inference reduced order model for fluids using linear multistep neural network

In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid dynamic problems is challenging for many practical engineering applications. Classical projection-based model reduction methods generate reduced systems by projecting full-order differential operators into low-dimensional subspaces. However, these techniques usually lead to severe instabilities in the presence of highly nonlinear dynamics, which dramatically deteriorates the accuracy of the reduced-order models. In contrast, our new framework exploits linear multistep networks, based on implicit Adams-Moulton schemes, to construct the reduced system. The advantage is that the method optimally approximates the full order model in the low-dimensional space with a given supervised learning task. Moreover, our approach is non-intrusive, such that it can be applied to other complex nonlinear dynamical systems with sophisticated legacy codes. We demonstrate the performance of our method through the numerical simulation of a two-dimensional flow past a circular cylinder with Reynolds number Re = 100. The results reveal that the new data-driven model is significantly more accurate than standard projection-based approaches.

physics.comp-ph↗

arXiv2018

A Time Domain Acoustic Model for the Production of Rodent Ultrasonic Vocalizations

Mammalian ultrasonic vocalization (USV) has been a subject of interest for decades. This interest has mainly been driven by the intelligence of dolphins and other odontocetes. However the semantic content of odontocete USV and its mechanism of production remain poorly understood. Serendipitously however many rodent species have convergently evolved the ability to produce USVs in a similar manner. In this paper we use rodent USV as a model process to help us gain insight into the production mechanism for mammalian USV as a whole. We derive a model that describes the production of rodent USVs by considering the interaction of an unstable jet, emerging from the vocal folds, with the passive resonance modes of the upper vocal tract. Thus our model is also a solution to a special case of the jet susceptibility problem. The derived model takes the form of a set of coupled nonlinear time domain ODEs, whose solutions are controlled by biologically relevant parameters such as subglottal pressure and vocal fold radius. In our analysis of the model we find the existence of a subglottal blowing pressure threshold ($p \approx 710$ Pa), above which steady acoustic oscillations occur. Furthermore we also reproduce the $22$ kHz rat alarm call at realistic blowing pressures ($p \approx 1500$ Pa)

physics.bio-ph↗

arXiv2018

Diffusion, mixing, and segregation in confined granular flows

Discrete element method simulations of confined bidisperse granular shear flows elucidate the balance between diffusion and segregation that can lead to either mixed or segregated states, depending on confining pressure. Results indicate that the collisional diffusion is essentially independent of overburden pressure. Because the rate of segregation diminishes with overburden pressure, the tendency for particles to segregate weakens relative to the re-mixing of particles due to collisional diffusion as the overburden pressure increases. Using a continuum approach that includes a pressure dependent segregation velocity and a pressure independent diffusion coefficient, the interplay between diffusion and segregation is accurately predicted for both size and density bidisperse mixtures over a wide range of flow conditions when compared to simulation results. Additional simulations with initially segregated conditions demonstrate that applying a high enough overburden pressure can suppress segregation to the point that collisional diffusion mixes the segregated particles.

cond-mat.soft↗

arXiv2018

Nonlinear optimal control of bypass transition using a receding horizon approach

We consider the nonlinear optimal control of bypass transition in a boundary layer flow subjected to a pair of free stream vortical perturbations using a receding horizon approach. The optimal control problem is solved using the Lagrange variational technique that results in a set of adjoint equations, used to obtain the optimal wall actuation (blowing and suction from a control slot located in the transition region). The receding horizon approach enables the application of control action over a longer time period, and allows the extraction of time-averaged statistics as well as investigation of the control effect downstream of the control slot. The results show that the controlled flow energy is initially reduced in the streamwise direction and then increased because transition still occurs. The distribution of the optimal control velocity responds to the flow activity above and upstream of the control slot. The control effect propagates downstream of the slot and the flow energy is reduced up to the exit of the computational domain. The mean drag reduction is 55% and 10% in the control region and downstream of the slot, respectively. The control mechanism is investigated by examining the second order statistics and the two-point correlations. It is found that in the upstream (left) side of the slot, the controller counteracts the near wall high speed streaks and reduces the turbulent shear stress; this is akin to opposition control in channel flow, and since the time-average control velocity is positive, it is more similar to blowing-only opposition control. In the downstream (right) side of the slot, the controller reacts to the impingement of turbulent spots that have been produced upstream and inside the boundary layer (top-bottom mechanism). The control velocity is positive and increases in the streamwise direction, and the flow behavior is similar to that of uniform blowing.

physics.flu-dyn↗

arXiv2019

Particle trajectories in nonlinear Schrodinger models

The nonlinear Schrodinger equation is well known as a universal equation in the study of wave motion. In the context of wave motion at the free surface of an incompressible fluid, the equation accurately predicts the evolution of modulated wave trains with low to moderate wave steepness. While there is an abundance of studies investigating the reconstruction of the surface profile $η$, and the fidelity of such profiles provided by the nonlinear Schrodinger equation as predictions of real surface water waves, very few works have focused on the associated flow field in the fluid. In the current work, it is shown that the velocity potential $ϕ$ can be reconstructed in a similar way as the free-surface profile. This observation opens up a range of potential applications since the nonlinear Schrodinger equation features fairly simple closed-form solutions and can be solved numerically with comparatively little effort. In particular, it is shown that particle trajectories in the fluid can be described with relative ease not only in the context of the nonlinear Schrodinger equation, but also in higher-order models such as the Dysthe equation, and in models incorporating certain types of viscous effects.

physics.flu-dyn↗

arXiv2018

Jovian vortices and jets

We explore the conditions required for isolated vortices to exist in sheared zonal flows and the stability of the underlying zonal winds. This is done using the standard 2-layer quasigeostrophic model with the lower layer depth becoming infinite; however, this model differs from the usual layer model because the lower layer is not assumed to be motionless but has a steady configuration of alternating zonal flows [1]. Steady state vortices are obtained by a simulated annealing computational method introduced in [2], generalized and applied in [3] in fluid flow, and used in the context of magnetohydrodynamics in [4-6]. Various cases of vortices with a constant potential vorticity anomaly atop zonal winds and the stability of the underlying winds are considered using a mix of computational and analytical techniques.

physics.ao-ph↗

arXiv2018

Computational Modeling and Analysis of Diesel-fuel Injection and Autoignition at Transcritical Conditions

The need for improved engine efficiencies has motivated the development of high-pressure combustion systems, in which operating conditions achieve and exceed critical conditions. Associated with these conditions are strong variations in thermo-transport properties as the fluid undergoes phase transition, and two-stage ignition with low-temperature combustion. Accurately simulating these physical phenomena at real-fluid environments remains a challenge. By addressing this issue, a high-fidelity LES-modeling framework is developed to conduct simulations of transcritical fuel spray mixing and auto-ignition at high-pressure conditions. The simulation is based on a recently developed diffused interface method that solves the compressible multi-species conservation equations along with a Peng-Robinson state equation and real-fluid transport properties. LES analysis is performed for non-reacting and reacting spray conditions targeting the ECN Spray A configuration at chamber conditions with a pressure of 60 bar and temperatures between 900 K and 1200 K to investigate effects of the real-fluid environment and low-temperature chemistry. Comparisons with measurements in terms of global spray parameters (i.e., liquid and vapor penetration lengths) are shown to be in good agreement. Analysis of the mixture fraction distributions in the dispersed spray region demonstrates the accuracy in modelling the turbulent mixing behavior. Good agreement of the ignition delay time and the lift-off length is obtained from simulation results at different ambient temperature conditions and the formation of intermediate species is captured by the simulations, indicating that the presented numerical framework adequately reproduces the corresponding low- and high-temperature ignition processes under high-pressure conditions, which are relevant to realistic diesel-fuel injection systems.

physics.flu-dyn↗

arXiv2018

Inhomogeneity Generated Waves: Harbingers for Turbulence Generation

The Navier-Stokes equations describe fluid flow in many everyday life situations. Newton's second law of motion describes changes in the object's speed when a force applied. The Navier-Stokes equations are equivalent to Newton's Law when many objects such as microscopic particles in the air or water are considered as a group. Ocean currents, motion of smoke, dynamics of hurricane or weather patterns, air/fluid flow when the detonated device goes and many other interesting phenomena are all examples of situations when the Navier-Stokes equations govern temporal evolution. Despite its long history as a mathematical problem and simplicity of the equations, the time evolution of their solutions is not obvious. In this letter, I describe waves discovered some time ago that have received little attention in the neutral fluid physics community. Because of their properties these waves play an important role in processes like energy transfer, turbulence generation, heating, etc. Here, my intention is to demonstrate an existence of inhomogeneity generated waves in Navier-Stokes equations in the simplest possible case, give analytical solutions and provide some insight about them. We show (a) an existence of this new type of waves, which in our simple case considered here have amplitudes that increase with time, and (b) change in volumetric viscous heating when there is a shear flow present. Later process and accumulation of the kinetic energy in inhomogeneity generated waves shows an early stage of wave steepening in the linear regime.

physics.flu-dyn↗

arXiv2018

Validation and Uncertainty Quantification for Wall Boiling Closure Relations in Multiphase-CFD Solver

The two-fluid model based Multiphase Computational Fluid Dynamics (MCFD) has been considered as one of the most promising tools to investigate two-phase flow and boiling system for engineering purposes. The MCFD solver requires closure relations to make the conservation equations solvable. The wall boiling closure relations, for example, provide predictions on wall superheat and heat partitioning. The accuracy of these closure relations significantly influences the predictive capability of the solver. In this paper, a study of validation and uncertainty quantification (VUQ) for the wall boiling closure relations in MCFD solver is performed. The work has three purposes: i). identify influential parameters to the quantities of interest of the boiling system through sensitivity analysis; ii). evaluate the parameter uncertainty through Bayesian inference with the support of multiple datasets; iii). quantitatively measure the agreement between solver predictions and datasets. The widely used Kurul-Podowski wall boiling closure relation is studied in this paper. Several statistical methods are used, including Morris screening method for global sensitivity analysis, Markov Chain Monte Carlo (MCMC) for inverse Bayesian inference, and confidence interval as the validation metric. The VUQ results indicated that the current empirical correlations-based wall boiling closure relations achieved satisfactory agreement on wall superheat predictions. However, the closure relations also demonstrate intrinsic inconsistency and fail to give consistently accurate predictions for all quantities of interest over the well-developed nucleate boiling regime.

physics.flu-dyn↗

arXiv2018

Morphology of Flow Patterns Generated by Viscous Fingering from Miscible Fluids

A rest fluid displaced by a less viscous fluid in a porous medium triggers the so-called Saffman-Taylor instability at their contact front and hence forms complicated finger-like patterns. When the two fluids are miscible, the surface tension at their contact front vanishes, leaving the variation in viscosity dominant the contribution to the instability. The phenomena, named viscous fingering, can be studied by the analogy of a single-phase flow in the Hele-Shaw cell, a quasi-two-dimensional rectilinear plane. Viscous fingering produces complex geometrical patterns. They are important not only in industry but also in mathematics. Theoretical analyses on the evolution of the finger-like patterns in miscible fluids are still expanding (it is referred to the morphology of the flow patterns). Here we study the morphology of the finger-like patterns within some simple concepts in differential geometry, in which surfaces and curves are analog to the profiles of the concentration and its contours, respectively. We thus can investigate the fingering phenomena through the geometrical perspective in which various results in differential geometry are immediately applicable.

physics.flu-dyn↗

arXiv2018

Transcritical Mixing and Auto-Ignition of n-dodecane Liquid Fuel using a Diffused Interface Method

High-fidelity simulations of transcritical spray mixing and auto ignition in a combustion chamber are performed at high pressure and temperature conditions using a recently developed finite rate LES solver. The simulation framework is based on a diffused-interface (DI) method that solves the compressible multi-species conservation equations along with the Peng Robinson state equation and real-fluid transport properties. A finite volume approach with entropy stable scheme is employed to accurate simulate the non-linear real fluid flow. LES analysis is performed for non-reacting and reacting spray conditions targeting the ECN Spray A configuration at chamber conditions with a pressure of 60 bar and temperatures between 800 K and 1200 K to investigate effects of the real-fluid environment and low-temperature chemistry. Comparisons with measurements in terms of global spray parameters and mixture fraction distributions demonstrates the accuracy in modeling the turbulent mixing behavior. Good overall agreement of the auto-ignition process is obtained from simulation results at different ambient temperature conditions and the formation of intermediate species is captured by the simulations, indicating that the presented numerical framework adequately reproduces the corresponding low-and-high-temperature ignition processes under high-pressure conditions that are relevant to realistic diesel fuel injection systems.

physics.flu-dyn↗

arXiv2019

Chaotic mixing using micro-rotors in a confined domain

In this work we study chaotic mixing induced by point micro-rotors in a bounded two dimensional Stokes flow. The dynamics of the pair of rotors, modeled as rotlets, are non Hamiltonian in the bounded domain and produce chaotic advection of fluid tracers in subsets of the domain. A complete parametric investigation of the fluid mixing as a function of the initial locations of the rotlets is performed based on pseudo phase portraits. The mixing of fluid tracers as a function of relative positions of micro-rotors is studied using finite time entropy and locational entropy. The finite time locational entropy is used to identify regions of the fluid that produce good vs poor mixing and this is visualized by the stretching and folding of blobs of tracer particles. Unlike the case of the classic blinking vortex dynamics, the velocity field of the flow modeled using rotlets inside a circular boundary is smooth in time and satisfies the no slip boundary condition. This makes the considered model a more realistic case for studies of mixing in microfluidic devices using magnetic actuated microspheres.

nlin.CD↗

arXiv2019

A Note on the Nonlinear Attenuation of an Ultrasound Contrast Agent Calculated by Rayleigh-Plesset Equation

The attenuation of small-amplitude acoustic waves in a suspension containing ultrasound contrast agents (UCAs, coated microbubbles) is determined by the linear oscillation of the UCAs in the medium, which can be estimated via a linear attenuation theory. Recently, several nonlinear phenomena of energy attenuation at very low-intensity of acoustic pressures have been observed experimentally, raising concerns on the validity of the linear attenuation theory. Explanations of the nonlinear phenomenon are still lacking. Particularly, the interpretation of the pressure-dependent attenuation phenomenon is still under debate. In this note, we investigated the energy dissipation of a single UCA via a nonlinear Rayleigh-Plesset equation and used a formula capable of estimating attenuation coefficient due to the nonlinear oscillation of the UCA. The simulation results show the linear oscillation of an UCA at low excitation pressures does not always guarantee the linearity in the energy attenuation. Although nonlinear oscillation of the UCA contributes to the occurrence of nonlinear attenuation phenomena, it is not the only trigger.

physics.flu-dyn↗