Deborah A. Levin’s research while affiliated with University of Illinois, Urbana-Champaign and other places

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Publications (25)


Axisymmetric simulation domain for a sphere-cone with radius of 0.02 m and cone length flat portion of 0.125 m for 45 and 60 km and 0.029 m for the 35 km case, and b double-cone with first and second lengths of 0.1016 and 0.1070 m, respectively [42, 51]. Also indicated in the figure is the free-stream seeding of spherical particulates of diameter dp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_p$$\end{document}
a Steady-state gas streamlines and particulate pathlines or trajectories for a sphere-cone exposed to Ma∞=9\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ma_\infty = 9$$\end{document} and h=45\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h = 45$$\end{document} km (Kn∞=1.5×10-3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Kn_\infty = 1.5 \times 10^{-3}$$\end{document}). The gas streamlines are indicated using orange continuous lines. Particulate trajectories for 0.001, 0.01, 0.1, and 1.0 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document}m are represented using dashed royal blue, red, green and dashed black lines, respectively. Subfigures (b, c) represents frame F in Fig. 2a (colour figure online)
Local particulate number density normalized by free-stream particulate number density, np/np,∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n_p/n_{p,\infty }$$\end{document}, for a 0.01 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document}m and b 0.1 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document}m particulates in the Ma∞=9\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ma_\infty = 9$$\end{document} flow over a sphere-cone flow at h=45\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h = 45$$\end{document} km. DFZ indicates the dust-free zone
Sampled contour of the particulate phase speed |up|\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$|u_p|$$\end{document} for a 0.01 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document}m and b 0.1 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document}m particulates in Ma∞=9\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ma_\infty = 9$$\end{document} flow over a sphere-cone flow at h=45\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h = 45$$\end{document} km
Steady-state particulate velocity distribution at probe location A ((z, r) = (0.0085,0.0021) m; see Fig. 4 for particulates of diameter adp=0.01μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_p = 0.01~\mu $$\end{document}s and bdp=0.1μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_p = 0.1~\mu $$\end{document}m. Red and blue curves represent z velocity component up,z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u_{p,z}$$\end{document} and r velocity component up,r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u_{p,r}$$\end{document}, respectively. Particulate speed is displayed on horizontal axis for both sub-figures

+24

Analyzing particulate behavior in high-speed, high-altitude conditions through an overlay-based computational approach
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  • Publisher preview available

November 2024

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37 Reads

Theoretical and Computational Fluid Dynamics

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Qiong Liu

This paper presents an overlay-based one-way coupled Eulerian–Lagrangian computational approach designed to investigate the dynamics of particulate phases in extreme high-speed, high-altitude flight conditions characterized by very low particulate mass loading. Utilizing the Direct Simulation Monte Carlo method to generate accurate gas flow fields, this study explores two canonical hypersonic flow systems. First we focus on the hypersonic flow over a sphere-cone, revealing the formation of dust-free zones for small particulate diameters and describing the particulate interaction with gas shocks. As particulate diameter and flight speed increase, the characteristics of the particulate phase evolve, leading to the emergence of distinctive features such as high particulate concentration bands or regions void of particulates. Subsequently, the investigation considers flow over a double-cone, emphasizing the behavior of particulate phases in separated vortex-dominated systems where particulate-inertia-driven interactions with vortices result in unique particulate-free zones in the vicinity of the primary and secondary vortices. Additionally, the paper addresses the importance of using realistic fractal-like particulate shapes and demonstrates that the shape effect tends to decelerate the fractal aggregates and trap them along the boundaries of the primary vortex. This research contributes to a deeper understanding of particulate phase dynamics in extreme flight conditions, offering insights relevant to aerospace and aerodynamic applications.

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Aerodynamic interaction in a 1 % particle bed
Surface pressure distribution in a binary particle system
Kinetic modeling of fluid-induced interactions in compressible, rarefied gas flows for aerodynamically interacting particles

November 2023

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122 Reads

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2 Citations

International Journal of Multiphase Flow

In the study of gas-particulate multiphase systems, the flow of high-speed gas through a distribution of solid particulates is of utmost importance. While these aerodynamically interacting systems have been extensively studied for low-speed gas flows in the gas continuum regime, less attention has been given to high-speed systems where non-continuum effects are significant due to the high flow gradients. To address this, the flow of rarefied gas through an aerodynamically interacting monodisperse spherical particle system is studied using the Direct Simulation Monte Carlo (DSMC) gas-kinetic approach. Since the method provides the best resolution of shocks at supersonic Mach numbers it is used to classify the weak separated shocks and strong collective shocks in these systems based on particle spacing in a two-particulate system at different orientation angles. The study used the two-particle system to help analyze more complex particle distributions of volume fractions, 1%, 5%, and 15%, exposed to gas flows in the slip and transitional gas regime for a free-stream Mach number range of 0.2 < 𝑀𝑎∞ < 2.0. We observe that the weak separated shocks in the 1% distribution allow a higher degree of gas penetration and shock-particle interactions or ‘‘hypersonic-surfing ’’, exposing a major fraction of the particulates to higher force magnitudes. In contrast, the strong collective shock in the 5% and 15% distributions only generates high particulate forces on the flow-facing particles. Finally, a simple stochastic model is proposed for use in large-scale Eulerian–Lagrangian simulations that captures the non-monotonic behavior of average drag and force variability generated by the complicated gas particulate interactions in the compressible gas regime.





Optical spectroscopy and modeling of uranium gas-phase oxidation: Progress and perspectives

September 2021

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97 Reads

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40 Citations

Spectrochimica Acta Part B Atomic Spectroscopy

Studies related to U gas-phase oxidation through plasma- and thermo-chemistry are important for many fields, including environmental monitoring, forensic analysis, debris analysis in a weapon detonation event, and nucleation physics. Recently, significant efforts have been made to understand the chemical pathways involved in the progression from U atoms to diatoms (UO) and polyatomic molecules (UxOy), employing optical spectroscopy tools and computational modeling. In many studies, laser ablation of U or a U-containing flow reactor are used as a highly resource-efficient, repeatable, tunable, and lab-scale testbed for studying gas-phase oxidation in U plasmas. The spectroscopic analysis of high-temperature gas-phase oxidation of U is challenging due to the congested U spectra, resolution limitations of instrumentation, and the numerous chemical reaction pathways possible. This article focuses on the current understanding and challenges related to studying U plasma chemistry, specifically U gas-phase oxidation and molecular formation, via optical spectroscopy of plasmas and associated computational and spectral modeling. The physical and chemical processes involved in the evolution from U atoms to U oxide molecules to nanoparticles and agglomerates (i.e., debris) are discussed in the context of optical spectroscopic studies. The article concludes by highlighting opportunities for future research efforts based on existing knowledge published in the literature.


Influence of particle non-dilute effects on its dispersion in particle-laden blast wave systems

July 2021

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233 Reads

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11 Citations

Even though the interaction of blast waves with dense particle distributions is ubiquitous in nature and in industry, the underlying physics of the multiphase system evolution is not clearly understood. A canonical multiphase system composed of an embedded monodisperse distribution of spherical particles in a spherical, high-energy gaseous charge is studied numerically using an Eulerian–Lagrangian approach to elucidate the role of non-dilute particle effects on the dynamics of the two-phase flow system. The direct simulation Monte Carlo method is modified to model inelastic particle–particle collisions and to model the gaseous flow inter-leaving through complex structures of monodisperse dense distributions of spherical particles to obtain parameters that are fit to semi-empirical particle cloud drag laws that account for aerodynamic interactions. The study reveals that inter-particle collisions decrease the total particle kinetic energy at early stages of the particle-laden blast wave system evolution, but near-particle interaction increases the particle kinetic energy at this stage. In contrast, at later stages of evolution, collisions tend to retain more kinetic energy, while the aerodynamic interactions tend to dissipate particle kinetic energy.


Correlations for Aerodynamic Coefficients for Prolate Spheroids in the Free Molecular Regime

March 2021

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72 Reads

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7 Citations

Computers & Fluids

A new set of aerodynamic correlations are proposed for an ellipsoidal particle in the free molecular regime by carrying out flow simulations using the Direct Simulation Monte Carlo (DSMC) method. The in-house DSMC solver is modified to be consistent with free molecular flow assumptions as well as to reduce computational cost. The solver is validated against an open-source DSMC solver, viz., SPARTA, the free molecular theory and experimental data for flow over a sphere and right circular cylinder in the free molecular regime. The flow is simulated over ellipsoidal particles at different aspect ratio, angles of attack and speed ratios to estimate the aerodynamic properties. Regression analysis is performed to give correlations for the variation of aerodynamic properties such as drag, lift and torque coefficients. The correlations are rigorously tested against the DSMC results, obtained from our in-house solver as well as those obtained from SPARTA, over a wide range of parameters.



Figure 3: Speed-up comparisons for a flow over a hemisphere. Tests 1 and 2 were performed
before implementing any new strategies. Tests 3-5 demonstrate the cumulative, successive
improvements of Strategies A, B, and C, as described in Sec. 3, respectively. Execution
times for 1,000 time steps and 32 processors were 2793, 2413, 2541, and 1402 s for Tests 1
- 4, respectively. For the purpose of speed-up calculations, the 32-processor case for Test
5 is assumed to take the same amount of time as Test 4.
Figure 7: Weak scaling for a flow over a hemisphere. See Fig. 3 for definition of Tests 4 and 5.
Figure 8: Decomposition of the computational domain held by a single of the 32 processors
used to run a simulation over a double wedge geometry. Collision and root grids are shown
in red and black, respectively. Root grid elements that are blank represent roots held by
neighboring processors. The processor needs the location code array data held in both
filled and blank roots.
Figure 9: SWBLI features in the symmetry plane (at Y=0.06 m) based on flow field
parameters sampled from 0.1 to 0.108 ms (i.e., from the time step 25,000 to 27,000) here
and in subsequent figures.
Application of Adaptively Refined Unstructured Grids in DSMC to Shock Wave Simulations

April 2018

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280 Reads

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26 Citations

Computers & Fluids

An efficient, new DSMC framework based on AMR/octree unstructured grids is demonstrated for the modeling of near-continuum, strong shocks in hypersonic flows. The code is able to capture the different length scales in such flows through the use of a linearized representation of the unstructured grid using Morton-Z space filling curve for efficient access of collision cells. Strategies were developed to achieve a strong scaling of nearly ideal speed up to 4,096 processors and 87% efficiency (weak scaling) for 8,192 processors for a strong shock created by flow over a hemisphere. To achieve these very good scalings, algorithms were developed to weight the computational work of a processor by the use of profiled run time data, create maps to optimize processor point-to-point communications, and efficiently generate new DSMC particles every time step. Rigorous thermal non-equilibrium required for modeling high Mach number shocks was achieved through the accurate modeling of collision temperatures on a sampling grid designed to be compatible with the above approaches. The simulation of a nitrogen flow over a double wedge configuration for near-continuum conditions revealed complex hypersonic SWBLIs as well as three-dimensional gas-surface kinetic effects such as velocity and temperature slip. The simulations showed that three-dimensional effects are important in predicting the size of the separation bubble, which in turn, influences gas-surface measurements such as pressure and heat flux.


Citations (14)


... Understanding gas-phase oxidation reactions in hightemperature environments is crucial for combustion and highexplosive (HE) research, including fireball mixing, detonation physics, and prediction of optical emission signatures [1]. Laser-produced plasmas (LPPs) are found to be an excellent surrogate for explosive fireballs, and despite smaller time/length scales, the LPPs have comparable physical properties (temperatures/pressures) and also offer the ability to vary the compositions of the LPP and ambient environments [2,3]. The life cycle of an LPP spans several orders of magnitude in time, beginning with extremely high temperatures at earlier times (≤1 µs) characterized by the presence of excited atoms and ions. ...

Reference:

The Impact of Target-Derived and Ambient Oxygen on Gas-Phase oxidation in Laser Ablation Plumes
Optical spectroscopy and modeling of uranium gas-phase oxidation: Progress and perspectives
  • Citing Article
  • September 2021

Spectrochimica Acta Part B Atomic Spectroscopy

... The aforementioned macroscale gas-particle coupling that is equivalent to the coupling between the central gases and the continuum encasing shell occurs on the inner surface of shell, although the solid stresses inside the particle shell arises from the inter-grain contacts (Saurel et al. 2010;Black, Denissen & McFarland 2018;Marayikkottu & Levin 2021). The explosive dispersal of the continuum shell is predominantly governed by the macroscale coupling. ...

Influence of particle non-dilute effects on its dispersion in particle-laden blast wave systems

... The emphasis of our approach concerns the observation that for spheroidal particles (including oblate/prolate spheroids, disks, needles and cylinders) the sine-squared drag law, firstly introduced by Happel and Brenner for the continuum and low-Reynolds number regime [42] (later Sanjeevi et al. investigated its applicability to the high-Reynolds number regime [46,47]), is also valid in the low-Reynolds number, rarefied gas flow case. Recently, Chinnappan et al. reported on similar correlations for prolate spheroids with emphasis on the free-molecular regime [48]. In our previous work [41], in fact, we show that rarefaction effects do not depend on particle-flow relative orientation and can then be unambiguously defined, also for spheroidal particles, via the Knudsen number based on the equivalent sphere radius , the radius of the sphere with the same volume as the spheroidal particle, i.e. ...

Correlations for Aerodynamic Coefficients for Prolate Spheroids in the Free Molecular Regime
  • Citing Article
  • March 2021

Computers & Fluids

... A similar issue arises when the computational grid resolution is increased in specific regions of the physical domain to capture intense local gradients (e.g. shock waves [17,18] or flow passages with sudden expansion or contractions [19,20]). This reduction in the number of PPC has two consequences. ...

Application of Adaptively Refined Unstructured Grids in DSMC to Shock Wave Simulations

Computers & Fluids

... Several studies exist within this context, recently conducted by different groups, to characterize the inelastic scattering of molecules both with increasingly complex and refined experiments [1][2][3][4][5][6] and with state-resolved molecular dynamics (MD) simulations, the latter based on quantum [7,8], quasi-classical trajectory (QCT) [9] and semiclassical [10][11][12][13][14] methods. ...

Non-Reactive Scattering of N 2 From Layered Graphene Using Molecular Beam Experiments and Molecular Dynamics
  • Citing Article
  • March 2018

The Journal of Physical Chemistry C

... As a result of providing an increase in the contact region could be the fiber-to-matrix interaction and also acting as thermal links between the filaments and the fabric, composites with a 3wt.% SiC, have fewer conducting pathways than Cf/PR composites [11]. ...

Ablative Thermal Protection Systems: Pyrolysis Modeling by Scale-Bridging Molecular Dynamics
  • Citing Article
  • December 2017

Carbon

... The physicochemical properties of a material can be adjusted by absorbing specific molecules on its surface [4][5][6]. The interfacial process influences the heat and momentum transport between the incident molecule and the surface, thereby determining the boundary condition for rarefied gas flow [7][8][9][10]. The contact between the incident particles and the solid surface plays a crucial role and includes a large variety of physical processes. ...

Molecular-Dynamics-Derived Gas–Surface Models for Use in Direct-Simulation Monte Carlo

Journal of Thermophysics and Heat Transfer

... Poovathingal et al. then used this framework to investigate material properties such as porosity for artificially generated bundles, as well as simulating cases with coupled oxygen diffusion and gas surface reactions in the presence of a blowing pyrolysis gas [12]. Jambunathan et al. used DSMC to determine material permeability and tortuosity for a range of conditions using digitized microtomography images of Morgan Felt and FiberForm [13,14]. Ferguson et al. also used the DSMC SPARTA code as a verification tool for their tortuosity measurements made using the random-walk method [7]. ...

Advanced Parallelization Strategies Using Hybrid MPI-CUDA Octree DSMC Method for Modeling Flow Through Porous Media
  • Citing Article
  • February 2017

Computers & Fluids

... A posterior study involved contributions from seven research organizations, employing both Navier-Stokes and Direct Simulation Monte Carlo (DSM C) methods to evaluate aerodynamic heating accuracy of CF D simulations for hypersonic shock wave and laminar boundary layer interactions using a double wedge model at Mach 7.1. (Knight et al., 2017). With the precedent of Knight et al. (2012), the primary objective was to compare CF D predictions with experimental data to improve understanding of the tunnel startup process and highlight the necessity of three-dimensional simulations for nominally two-dimensional experimental geometries. ...

Assessment of predictive capabilities for aerodynamic heating in hypersonic flow
  • Citing Article
  • February 2017

Progress in Aerospace Sciences

... Numerical pumps, shown as green volumes, are installed at all corners of the downstream face to remove heavy neutral particles from the vacuum chamber. Computational particles entering the numerical pump volume are deleted from the calculation, utilizing the same method employed in our previous studies [16,24,25]. The cross-sectional area of the numerical pump is 1.25 × 1.25 cm 2 , which produces a typical vacuum chamber pressure of 10 −6 Torr. ...

Simulations of Ion Thruster Plumes in Ground Facilities Using Adaptive Mesh Refinement
  • Citing Article
  • February 2017

Journal of Propulsion and Power