Uintah and Related C-SAFE Publications


G.T. Long, B.A. Brems, C.A. Wight. “Thermal Activation of the High Explosive NTO: Sublimation, Decomposition, and Autocatalysis,” In Journal of Physical Chemistry, B, Vol. 106, No. 15, pp. 4022--4026. March, 2002.
DOI: 10.1021/jp012894v


Thermogravimetric analysis (TGA) and differential scanning calorimetry (DSC) show that the heating of 5-nitro-2,4-dihydro-3H-1,2,4-triazol-3-one (NTO) leads to competitive sublimation and condensed-phase exothermic decomposition. Model-free isoconversional analysis has determined activation energies (Eα) for these processes as a function of the extent of conversion, α. Sublimation occurs most readily in an open pan; although more than simple sublimation was observed, a global activation energy of Eα = 130−140 kJ mol-1 for sublimation was determined. Nonisothermal TGA and DSC traces run on pierced pan samples provide convincing evidence for competitive sublimation and condensed-phase decomposition of NTO. Confining NTO samples in a closed pan results in condensed-phase decomposition that leads to the formation of gaseous reaction products and shows autocatalytic behavior during the latter stages. Isoconversional analysis of DSC traces of closed pan samples yield activation energies for exothermic decomposition that increase from Eα = 273 kJ mol-1 for α = 0.01 to a plateau of 333 kJ mol-1 for 0.17 ≤ α ≤ 0.35 prior to decreasing to 184 kJ mol-1 for α = 0.99. The decrease in Eα with α during the latter stages of decomposition agrees with previous reports of autocatalytic behavior.

G.T. Long, C.A. Wight. “Thermal Decomposition of a Melt-Castable High Explosive:  Isoconversional Analysis of TNAZ,” In Journal of Physical Chemistry, B, Vol. 106, No. 10, pp. 2791--2795. February, 2002.
DOI: 10.1021/jp012859o


The thermal decomposition kinetics of the high explosive 1,3,3-trinitroazetidine (TNAZ) have been measured by nonisothermal differential scanning calorimetry (DSC). Samples of TNAZ in open pans and pierced pans undergo mainly melting (ΔHfus = 27 ± 3 kJ mol-1) and vaporization (ΔHvap = 74 ± 10 kJ mol-1) during heating. However, when confined in sealed high-pressure crucibles, exothermic thermal decomposition is observed. The activation energy for thermal decomposition has been determined as a function of the extent of reaction by isoconversional analysis. The initial value of 184 kJ mol-1 at the start of the reaction decreases to 38 kJ mol-1 near the end of the reaction. The rates clearly exhibit acceleratory behavior that is ascribed to autocatalysis. The measured heat release of thermal decomposition (Q = 640 ± 150 kJ mol-1) is independent of the heating rate and the sample mass. These results are consistent with proposed mechanisms of TNAZ decomposition in which the initial step is preferential loss of the nitramine NO2 group over loss of a gem-dinitroalkyl NO2 group.

S. Shellman, K. Sikorski. “A Two Dimensional Bisection-Envelope Algorithm for Fixed Points,” In Journal of Complexity, Vol. 18, No. 2, pp. 641--659. June, 2002.
DOI: 10.1006/jcom.2001.0625


In this paper we present a new algorithm for the two-dimensional fixed point problem f(x)=x on the domain [0, 1]×[0, 1], where f is a Lipschitz continuous function with respect to the infinity norm, with constant 1. The computed approximation x satisfies ‖f(x)−xε for a specified tolerance ε0.5. The upper bound on the number of required function evaluations is given by 2⌈log2(1/ε)⌉+1. Similar bounds were derived for the case of the 2-norm by Z. Huang et al. (1999, J. Complexity15, 200–213), our bound is the first for the infinity norm case.

G.D. Smith, O. Borodin, W. Paul. “A Molecular Dynamics Simulation Study of Dielectric Relaxation in a 1,4-Polybutadiene Melt,” In Journal of Chemical Physics, Vol. 117, No. 22, pp. 10350--10359. 2002.
DOI: 10.1063/1.1518684


We have carried out atomistic molecular dynamics simulations of a melt of 1,4-poly(butadiene) from temperatures well above the experimentally observed merging of the primary α process and secondary β process down to temperatures approaching the experimentally observed bifurcation temperature. The relaxation strength and maximum loss frequency and its temperature dependence for the combined α-β dielectric relaxation process from simulations were in good agreement with experiment. The maximum loss frequency, melt viscosity, chain normal-mode relaxation times and torsional autocorrelation times were found to exhibit nearly identical non-Arrhenius temperature dependencies well represented by a Vogel–Fulcher fit with parameters in good agreement with experimental values obtained from dielectric and viscosity measurements. The dielectric susceptibility showed increasing intensity at high frequency for the lower temperatures investigated, indicative of a breakdown in time-temperature superposition due to an emerging β process. Comparison of time scales for the chain normal-mode dynamics and dielectric relaxation revealed that the latter is associated with motions on the segmental length scale. The correspondence of time scales and temperature dependence for the dielectric relaxation and the torsional autocorrelation function further confirmed the localized nature of the dielectric relaxation and indicated that the combined α-β dielectric process is fundamentally tied to microscopic conformational dynamics of individual dihedrals. However, the mean conformational transition rates were found to exhibit Arrhenius temperature dependence, leading to a divergence of time scales between the torsional, dielectric, chain and mechanical relaxation processes and the rates of conformational transitions with decreasing temperature. This divergence was associated with the increasingly heterogeneous character of conformational dynamics in the melt with decreasing temperature. Hence, the time scale of the principal (α) relaxation in the melt is fundamentally correlated with the time scale for homogenization of conformational dynamics, and not to the time scale of the conformational transitions themselves.

H. Tan, J.A. Nairn. “Hierarchical, Adaptive, Material Point Method in Dynamic Energy Release Rate Calculations,” In Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 19-20, pp. 2123--2137. March, 2002.
DOI: 10.1016/S0045-7825(01)00377-2


A crack-closure method was developed for use in material point method (MPM) calculations. The method can be used for calculation of the dynamic energy release rate in a variety of dynamic fracture mechanics problems. Most previous MPM analyses have used regular grids and a “lumped” mass matrix. For the most accurate energy release rate calculations, the regular grid had to be replaced by an adaptive grid that automatically refined the mesh around the crack tip and the lumped mass matrix had to be replaced by a full mass matrix. Using an adaptive mesh was more important to accuracy than was switching to a full mass matrix. Some sample calculations are given for energy release rate in a double cantilever beam specimen carried out by several different MPM methods.

R.S. Tuminaro, H.F. Walker, J.N. Shadid. “On Backtracking Failure in Newton-GMRES Methods,” In Journal of Computational Physics, Vol. 180, No. 2, pp. 549--558. August, 2002.
DOI: 10.1006/jcph.2002.7102


In an earlier study of inexact Newton methods, we pointed out that certain counterintuitive behavior may occur when applying residual backtracking to the Navier-Stokes equations with heat and mass transport. Specifically, it was observed that a Newton-GMRES method globalized by backtracking (linesearch, damping) may be less robust when high accuracy is required of each linear solve in the Newton sequence than when less accuracy is required. In this brief discussion, we offer a possible explanation for this phenomenon, together with an illustrative numerical experiment involving the Navier-Stokes equations.

A. Violi, A. Kubota, W.J. Pitz, C.K. Westbrook, A.F. Sarofim. “Fully-integrated Molecular Dynamics - Kinetic Monte Carlo Code: a New Tool for the Study of Soot Precursor Growth in Combustion Conditions,” In American Chemical Society, Division of Fuel Chemistry, Vol. 47, No. 2, pp. 771--772. 2002.

A. Violi, A. Kubota, T.N. Truong, W.J. Pitz, C.K. Westbrook, A.F. Sarofim. “A Fully- Integrated Kinetic Monte Carlo-Molecular Dynamics Approach for the Simulation of Soot Precursor Growth,” In Proceedings of the Combustion Institute, Vol. 29, No. 2, pp. 2343--2349. 2002.
DOI: 10.1016/S1540-7489(02)80285-1


The emphasis in this paper is on presenting a new methodology, together with some illustrative applications, for the study of polycyclic aromatic hydrocarbon polymerization leading to soot, widely recognized as a very important and challenging combustion problem. The new code, named fully integrated Kinetic Monte Carlo/Molecular Dynamics (KMC/MD), places the two simulation procedures on an equal footing and involves alternating between KMC and MD steps during the simulation. The KMC/MD simulations are used in conjunction with high-level quantum chemical calculations. With traditional kinetic rates and dealing with the growth of particles, it is often necessary to perform a lurnping procedure in which much atomic-scale information is lost. Our KMC/MD approach is designed to preserve atomic-scale structure: a single particle evolves in time with real three-dimensional structure (bonds, bond angles, dihedralangles). In this paper, the methodology is illustrated by a sample simulation of high molecular mass compound growth in an environment (T, H, H2, naphthalene, and acenaphthylene concentrations) of a low-pressure laminar premixed benzene/oxygen/argon flame with an equivalence ratio of 1.8. The use of this approach enables the investigation of the physical (e.g., porosity, density, sphericity) as well as chemical (e.g. H/C, aromatic moieties, number of cross-links) properties.

A. Violi, A.F. Sarofim, T.N. Truong. “Mechanistic Pathways to Explain H-C Ratio of Soot Precursors,” In Combustion Science and Technology, Vol. 174, No. 11-12, pp. 205--222. 2002.
DOI: 10.1080/713712954


Pathways for the growth of high-molecular-mass compounds are presented, showing how reactions between aromatic moieties can explain recent experimental findings. A fundamental molecular analysis of polycyclic aromatic hydrocarbon growth processes in combustion systems involving five-membered ring compounds is presented using quantum mechanical density functional methods. Higher aromatics are produced through a two-step radical-molecule addition reaction and the iteration of this mechanism followed by rearrangement of the carbon framework ultimately leads to high-molecular-mass compounds. The distinguishing features of the proposed model lie in the chemical specificity of the routes considered. Naphthalene and acenaphthylene are used as examples of the aromatic and cyclopentafused aromatic classes of compounds postulated to be of importance in molecular weight growth. These reaction pathways are analyzed with a view toward explaining recent experimental findings on H/C ratio, NMR, and LMMS of soot precursors.

A. Violi, S. Yan, E.G. Eddings, A.F. Sarofim, S. Granata, T. Faravelli, E. Ranzi. “Experimental Formulation and Kinetic Model for JP-8 Surrogate Mixtures,” In Combustion Science and Technology, Vol. 174, No. 11-12, pp. 399--417. 2002.
DOI: 10.1080/00102200215080


Jet A and JP-8 are kerosene fuels used in aviation and consist of complex mixtures of higher order hydrocarbons, including alkanes, cycloalkanes, and aromatic molecules. The objectives of the current work are to develop a surrogate mixture to represent JP-8 fuels and to discuss a general detailed chemical kinetic model for jet fuels, which is suitable for future reduction. Asurrogate blend of six pure hydrocarbons is found to adequately simulate the distillation and compositional characteristics of a practical JP-8. A hierarchically constructed kinetic model already available for the oxidation of alkanes and simple aromatic molecules (benzene, toluene, ethylbenzene, xylene, etc.) is extended to include methylcyclohexane and tetralin as new reference fuel components. The kinetic model is validated through comparisons with experimental data for the pure components and it is also used to verify and predict the structures of laminar premixed flames of different pure components as well as conventional kerosene fuels.


D.H. Barich, R.J. Pugmire, D.M. Grant. “Investigation of the Structural Conformation of Biphenyl by Solid State C-13 NMR and Quantum Chemical NMR Shift Calculations,” In Journal of Physical Chemistry, A, Vol. 105, pp. 6780--6784. 2001.
DOI: 10.1021/jp004314k


The principal values of the 13C chemical-shift tensor (CST) for biphenyl have been determined with the FIREMAT experiment. The internal dihedral angle between the benzene rings in biphenyl is estimated to fall between 10 and 20° on the basis of quantum mechanical calculations of the CST principal values. A composite model of motion in the system, with contributions both from internal jumping between enantiomeric structures and from overall molecular librations, yields the smallest variance between predicted and measured values for an internal twist angle of 15° between the rings and a mean libration angle of ±12° from the most favored molecular orientation. The composite model is clearly preferred to a motionless model (with >98% probability) and is also preferred over either of the isolated contributing dynamics, i.e., only libration or only internal jumping.

D. Bedrov, G.D. Smith. “Exploration of Conformational Phase Space in Polymer Melts: A Comparison of Parallel Tempering and Conventional Molecular Dynamics Simulations,” In Journal of Chemical Physics, Vol. 115, No. 3, pp. 1121--1124. 2001.
DOI: 10.1063/1.1386781


Parallel tempering molecular dynamics simulations have been performed for 1,4-polybutadiene polymer melts in the 323 K–473 K temperature domain at atmospheric pressure. The parallel tempering approach provides a vast improvement in the equilibration and sampling of conformational phase space for the atomistic melt chains in comparison with conventional molecular dynamics simulations even for molecular weights and temperatures considered to be routinely accessible via the latter technique.

O. Byutner, G.D. Smith. “Prediction of the Linear Viscoelastic Shera Modulus of an Entangled Polybutadiene Melt from Simulation and Theory,” In Macromolecules, Vol. 34, No. 1, pp. 134--139. 2001.

O. Byutner, G.D. Smith. “Temperature and Molecular Weight Dependence of the Zero Shear-Rate Viscosity of an Entangled Polymer Melt from Simulation and Theory,” In Journal of Polymer Science, B, Vol. 39, No. 23, pp. 3067--3071. December, 2001.
DOI: 10.1002/polb.10029


In a previous article, we described how the frequency-dependent complex shear modulus and the time-dependent shear stress relaxation modulus for a highly entangled polybutadiene (PBD) melt can be obtained from molecular dynamics (MD) simulations of an unentangled PBD melt.1 In that work, we obtained from simulations of an unentangled melt all properties required for the prediction of the dynamic shear modulus with three reptation theories for the dynamics of entangled melts of linear, monodisperse polymers.2–5 More recently, we showed how the high-frequency (glassy) behavior of PBD can be obtained directly from MD simulations.6 The calculated complex and stress relaxation shear moduli for a PBD melt with a molecular weight of 1.3 · 105 Da at 298 K were found to be in excellent agreement with experimental data.1, 6 In this work, we investigate the ability of MD simulations of the unentangled melt, in conjunction with reptation theory, to reproduce the molecular weight and temperature dependence of the viscoelastic properties of PBD. Here we concentrate on the low-frequency/long-time dynamics that determine the zero shear-rate viscosity, a property that has been extensively studied for PBD as a function of molecular weight and temperature.

A. D'Anna, A. Violi; A. D'Alessio, A.F. Sarofim. “A Reaction Pathway for Nanoparticle Formation in Rich Premixed Flames,” In Combustion and Flame, Vol. 127, No. 1-2, pp. 1995--2003. October, 2001.
DOI: 10.1016/S0010-2180(01)00303-0


Aromatics growth beyond 2-, 3-ring PAH is analyzed through a radical-molecule reaction mechanism which, in combination with a previously developed PAH model, is able to predict the size distribution of aromatic structures formed in rich premixed flames of ethylene at atmospheric pressure with C/O ratios across the soot threshold limit. Modeling results are in good agreement with experimental data and are used to interpret the ultraviolet absorption and the light scattering measured in flames before soot inception. The model shows that the total number concentration of high molecular mass aromatics and the different moments of the size distribution are functions of both the PAH and H-atom concentrations, two quantities which have different trends as functions of the residence time and the C/O ratio. Regimes of nearly stoichiometric or slightly rich premixed combustion are dominated by reactions between aromatics which lead to the formation of particles with sizes of the order of 3 to 4 nm. At higher C/O ratios the formation of nanoparticles is less efficient. Particles with sizes of the order of 2 nm are predicted in flames at the threshold of soot formation, whereas particles with sizes around 1 to 1.5 nm are predicted in fully sooting conditions.

J.C. Facelli, B.K. Nakagawa, A.M. Orendt, R.J. Pugmire. “Cluster Analysis of C-13 Chemical Shift Tensor Principal Values in Polycyclic Aromatic Hydrocarbons,” In Journal of Physical Chemistry, A, Vol. 105, pp. 7468--7472. 2001.


This paper presents a hierarchical cluster analysis of the principal values of the 13C chemical shift tensors encountered in polycyclic aromatic hydrocarbons (PAHs). Because of the limited set of experimental data presently available, the analysis was performed using chemical shifts tensors calculated using the DFT (B3PW91) GIAO method with a D95 basis set on optimized molecular geometries obtained using the CVFF force field and the DISCOVER routine in MSI's InsightII package. The good correlation observed between the calculated and the available experimental values supports the use of calculated values in the analysis. The hierarchical cluster analysis was performed for two data sets of increasing size and the classification was found independent of the size of the sample, leading to the conclusion that the results presented here are valid for the types of PAHs reported. The classification of the tensors using hierarchical cluster analysis produces classes of chemical shift principal values that can be associated with intuitive chemical types of carbons present in PAHs.

C.R. Johnson, D. Brederson, C.D. Hansen, M. Ikits, G. Kindlmann, Y. Livnat, S.G. Parker, D.M. Weinstein, R.T. Whitaker. “Computational Field Visualization,” In Computer Graphics, Vol. 35, No. 4, pp. 5--9. 2001.

C.R. Johnson, Y. Livnat, L. Zhukov, D. Hart, G. Kindlmann. “Computational Field Visualization,” In Mathematics Unlimited -- 2001 and Beyond, Vol. 2, Edited by B. Engquist and W. Schmid, Springer-Verlag, pp. 605--630. 2001.

J.M. Kniss, P. McCormick, A. McPherson, J. Ahrens, J. Painter, A. Keahey, C.D. Hansen. “T-Rex, Texture-based Volume Rendering for Extremely Large Datasets,” In IEEE Comp. Graph. & Applic., Vol. 21, No. 4, pp. 52--61. 2001.

J.P. Lewis, K.R. Glaesemann, G.A. Voth, J. Fritsch, A.A. Demkov, J. Ortega, O.F. Sankey. “Further Developments in the Local-orbital Density-functional Theory Tight-Binding Method,” In Physical Review, B, Vol. 64, No. 19, pp. 195103--195113. 2001.
DOI: 10.1103/PhysRevB.64.195103


Improvements to the Sankey-Niklewaki method [O. F. Sankey and D. J. Niklewski, Phys. Rev. B 40, 3979 (1989)] for computing total energies and forces, within an ab initio tight-binding formalism, are presented here. In particular, the improved method (called FIREBALL) uses the separable pseudopotential (Hamann or Troullier) and goes beyond the minimal sp2 basis set of the Sankey-Niklewski method, allowing for double numerical basis sets with the addition of polarization orbitals and d orbitals to the basis set. A major improvement includes the use of more complex exchange-correlation functionals, such as Becke exchange with the Lee-Yang-Parr correlation. Results for Cu and GaN band structures using d orbitals within the improved method are reported; the results for GaN are greatly improved compared to the minimal basis results. Finally, to demonstrate the flexibility of the method, results for the H2O dimer system and the energetics of a gas-phase octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine molecule are reported.