A mixing propagation model of computer viruses and countermeasures

Based on the CMC antivirus strategy proposed by Chen and Carley, a mixing propagation model of computer viruses and countermeasures is suggested. This model has two potential virus-free equilibria and two potential endemic equilibria. The existence and global stability of these equilibria are fully investigated. From the obtained results it can be deduced that the CMC strategy is efficacious in deracinating viruses.     

Mathematical modeling and computer simulation of fire phenomena

An approach to the study of gas phase combustion and convection processes in fires using a combination of mathematical analysis and computer simulation is presented. It seeks to solve the governing equations directly (if approximately) by decomposing the fire into a large-scale convective and radiative transport problem coupled to a small-scale thermal-element model of combustion and radiative emission. The thermal-element model solves the combustion equations in a local Lagrangian coordinate system convected by the large-scale motion, which in turn is driven by the heat released by the combustion processes. The large-scale flow is studied using finite-difference techniques to solve large-eddy simulations of the Navier-Stokes equations. The basic theory behind the methodology is outlined and sample results of both large- and small-scale phenomena are presented. An analytical model of a large eddy is used to show how the simulation can be assembled to yield radiation feedback from a fire plume to a target surface.     

The seismic pulse in a semi-infinite medium

Summary In a foregoing paper the present author developed methods for studying the transient field from a vertical electric antenna placed in the vicinity of the plane boundary of two semi-infinite dielectric media.As the theory involved is applicable to the comparable elastodynamic pulse problem the present paper deals with the field from a buried transient longitudinal source in an elastic half space.The method appears to be relatively simple and is also applicable to the more general problem in which two elastic semi-infinite solids are separated by a plane boundary.     

Primary pulse transmission in coupled steel granular chains embedded in PDMS matrix: Experiment and modeling

We present an experimental study of primary pulse transmission in coupled ordered steel granular chains embedded in poly-di-methyl-siloxane (PDMS) elastic matrix. Two granular one-dimensional chains are considered (an ‘excited’ and an ‘absorbing’ one), each composed of 11 identical steel beads of 9.5 mm diameter with the centerline of the chain spaced at fixed distances of 0.5, 1.5 or 2.5 mm apart. We directly force one of the chains (the excited one) by a transient pulse and measure, by means of laser vibrometry, the primary transmitted pulses at the end beads of both chains and at the first bead of the absorbing chain. It is well known that the dynamics of this type of ordered granular media is strongly nonlinear due, (i) to Hertzian interactions between adjacent beads, and (ii) to possible bead separations in the absence of compressive forces and ensuing collisions between neighboring beads. Accordingly, we develop a strongly nonlinear theoretical model that takes into account the coupling of the granular chains due to the PDMS matrix, with the aim to model primary pulse transmission in this system. After validating the model with experimental measurements, we employ it in a predictive fashion to estimate energy transfer between chains as a function of the interspatial distance between chains. Furthermore, based on this model we perform predictive matrix design to achieve maximum energy transfer from the excited to the absorbing chain, and provide a theoretical explanation of the nonlinear dynamics governing energy transfer (including energy equi-partition) in this system.     

Analysis of computer virus propagation behaviors over complex networks: a case study of Oregon routing network

Nonlinear Dynamics - This paper mainly aims to explore the propagation behaviors of computer virus over complex networks under the combined effects of network topology and removable storage media....     

The total reflection of a sound pulse of arbitrary form

The problem of a sound pulse of arbitrary form incident on a half space with an angle of incidence greater than the critical angle is discussed. Formulae are obtained for the transmitted and reflected pressure fields. An expression is obtained for the energy flux across the interface, and it is shown that the net energy flow per unit area over all time is zero.     

Experimental study of an air-breathing pulse detonation engine ejector

Experimental studies were performed in order to improve the understanding of the performance of ejector driven by an air-breathing pulse detonation engine (PDE) with a convergent nozzle. This research utilized a gasoline-air PDE at four different operating frequencies of 8 Hz, 10 Hz, 12 Hz and 15 Hz. The performance of PDE-ejector was quantified by thrust measurements. The effects of single ejector length and axial location on thrust augmentation were investigated. It was found that the single ejector with L/D of 2 showed the best performance and the maximum thrust augmentation occurred at a downstream placement of +1 tube diameter. The performances of two-stage and three-stage ejectors were also investigated. The results indicated that both the overlap ratio and the flow area between two stages should not be too large. The performance of the two-stage ejector was not as sensitive as single-stage ejector to axial position in current conditions. The three-stage ejector behaved better than the two-stage ejector but worse than the single-stage ejector in this work. A maximum thrust augmentation of 1.8 was obtained with an L/D of 2 at a downstream placement of +1 position and 15 Hz operating frequency.     

The effect of anisotropy on the integral representation of a cylindrical pulse

Summary The infinite medium Green's function for a two dimensional anisotropic scalar wave equation is obtained in closed form using a technique developed by De Hoop¹). The effect of anisotropy on the complex contour integral representation of this Green's function is explicitly exhibited.Publication 367, Institute of Geophysics and Planetary Physics, University of California, Los Angeles.     

The possibility of measuring flow velocity using a low-intensity periodic pulse discharge

A direct method of measuring the flow velocity in a supersonic wind tunnel by creating a low-intensity periodic pulse discharge is proposed.     

Computational study of shock wave control by pulse energy deposition

We have developed a computational code based on the axisymmetric Navier–Stokes equations with thermochemical kinetics for assessing wave drag reduction and other effects in pulse-energy deposition ahead of a bow shock by means of full simulations from generation of a laser-induced blast wave to interaction with the bow shock. Thermochemical nonequilibrium computations can reproduce the process of blast wave formation with laser ray tracing, and the computed low-density core inside the blast wave has a teardrop-like shape, depending on the laser input condition. The flowfield interacting with a bow shock formed in Mach 5 flow was computed. The result suggests that the shape of the low-density core affects the resultant wave drag, and parameters of an incident laser beam should be taken into account in exploring the optimal condition of the proposed wave-drag scheme.     

Multiscale modeling for ferroelectric materials: a transition from the atomic level to phase-field modeling

To link the atomic level and the mesoscale within a knowledge-based multiscale modeling approach for ferroelectric materials, a method is suggested to transfer results from first-principles calculations into a phase-field model. DFT calculations and atomistic simulations are applied and provide a set of intrinsic and extrinsic material properties for PbTiO₃ and tetragonal Pb(Zr_0.5Ti_0.5)O₃. The Helmholtz free energy of the phase-field model that contains all crystallographic and domain wall information is discussed in detail, and a sensitivity analysis is performed to identify the coefficients of the energy function. Then, a method is developed to adjust the coefficients of the Helmholtz free energy solely based on results from first-principles calculations. Full sets of adjusted energy coefficients for PbTiO₃ and Pb(Zr_0.5Ti_0.5)O₃ are presented and discussed, as well the limits of the suggested adjustment method.     

Theoretical modeling of microstructured liquids: a simple thermodynamic approach

A new method is presented for accounting for microstructural features of flowing complex fluids at the level of mesoscopic, or coarse-grained, models by ensuring compatibility with macroscopic and continuum thermodynamics and classical transport phenomena. In this method, the microscopic state of the liquid is described by variables that are local expectation values of microscopic features. The hypothesis of local thermodynamic equilibrium is extended to include information on the microscopic state, i.e., the energy of the liquid is assumed to depend on the entropy, specific volume, and microscopic variables. For compatibility with classical transport phenomena, the microscopic variables are taken to be extensive variables (per unit mass or volume), which obey convection-diffusion-generation equations. Restrictions on the constitutive laws of the diffusive fluxes and generation terms are derived by separating dissipation by transport (caused by gradients in the derivatives of the energy with respect to the state variables) and by relaxation (caused by non-equilibrated microscopic processes like polymer chain stretching and orientation), and by applying isotropy. When applied to unentangled, isothermal, non-diffusing polymer solutions, the equations developed according to the new method recover those developed by the Generalized Bracket [J. Non-Newtonian Fluid Mech. 23 (1987) 271; A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure, first ed., Oxford University Press, Oxford, 1994] and by the Matrix Model [J. Rheol. 38 (1994) 769]. Minor differences with published results obtained by the Generalized Bracket are found in the equations describing flow coupled to heat and mass transfer in polymer solutions. The new method is applied to entangled polymer solutions and melts in the general case where the rate of generation of entanglements depends nonlinearly on the rate of strain. A link is drawn between the mesoscopic transport equations of entanglements and conformation and the microscopic equation describing the configurational distribution of polymer segment stretch and orientation. Constraints are derived on the generation terms in the transport equations of entanglements and conformation, and the formula for the elastic stress is generalized to account for reversible formation and destruction of entanglements. A simplified version of the transport equation of conformation is presented which includes many previously published constitutive models, separates flow-induced polymer stretching and orientation, yet is simple enough to be useful for developing large-scale computer codes for modeling coupled fluid flow and transport phenomena in two- and three-dimensional domains with complex shapes and free surfaces.     

Propagation of a stress pulse in a viscoelastic rod

Experimental work is reported on the propagation of a stress pulse in a viscoelastic waveguide. The data obtained are compared with results of analysis using one-dimensional wave-propagation theory. The waveguide used in this work is a low-density polyethylene rod 1/2 in. in diameter and 30-in. long. Stress input to the waveguide and the resulting particle velocity at three stations are measured using a crystal stress transducer, two Faraday-principle velocity transducers and a capacitor transducer. The experiment is described mathematically as a boundary-value problem formulated in terms of the one-dimensional equation of motion, the strain-displacement relationship, a hereditary constitutive equation and the stress-boundary condition. Fourier transform and inversion yield an integral expression for velocity which is evaluated numerically at three stations using measured values for the stress-boundary condition, material attenuation and phase velocity. The analytical results compare favorably with the experimental data. The one-dimensional theory appears adequate to describe pulse propagation of this type. The attenuation and phase velocity used here are found to be a linear function and a logarithmic increasing function of frequency respectively.     

Comparative study of dissipation modeling in two-dimensional MHD turbulence

We propose in this paper a comparison of methods to parametrize the dissipative small scales in numerical simulation of MHD turbulent flow. These methods are tested against direct numerical integration of the MHD equations, in the case of homogeneous incompressible turbulence. Their efficiency to reproduce the main energetic quantities together with the geometry of the flow is discussed.NCAR is supported through NSF. The Arizona Center for Mathematical Sciences ACMS is thanked for support. ACMS is sponsored by AFOSR Contract F49620-86-0130 with the University Research Initiative Program at the University of Arizona.     

The merging of two co-rotating vortices: a numerical study

The merging of two-dimensional co-rotating vortices is analysed through direct numerical simulations at large Reynolds numbers. It is shown how the Reynolds number affects each of the three phases that characterise this phenomenon. In the first phase, we examine the merging onset and focus on its definition. During the second rapid phase, the contributions of various flow regions upon the dynamics of a vortex are quantitatively studied. These regions are respectively the companion vortex, the filaments and an intermediate zone between vortices and filaments. The third phase is interpreted in terms of an advection diffusion process. Finally the final profile and circulation of the merged vortex is determined: the two thirds of the total circulation of the two initial vortices is contained in the newly formed vortex.     

Evolution of a wave pulse propagating through a porous obstacle

This paper studies the evolution of a wave pulse during propagation through a porous obstacle located in a gas and saturated with it. The cases of open and closed boundaries of the porous obstacle are considered. The effect of the parameters of the porous medium such as the initial value of the gas volume fraction and pore size and interfacial heat transfer on the evolution of the wave pulse was analyzed.