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  • RPI SCOREC - Technical Reports
    International Meshing Roundtable Abstract The paper presents an a priori procedure to control the element size and shape variation for meshing algorithms governed by anisotropic sizing specifications The field of desired element size and shape is represented by a background structure The procedure consists in replacing the initial field with a smoothed one that preserves anisotropic features and smaller element sizes The smoothness of the resulting field can be controlled

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=353 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    with large density and viscosity differences as well as surface tension and allows the fronts to self intersect merge break and change topology A novel ghost fluid approach was implemented to remove the spurious non physical oscillations across the material interface because of smeared density profile An adaptive mesh strategy was designed to study various problems with optimum computational cost Various numerical studies were performed namely effect of viscosity and surface tension on single and multiple bubble dynamics non linear dynamics of free surface flows single and two phase shock tube converging spherical shock and Rayleigh Taylor interfacial instabilities Using the developed framework an effort is made to develop a three dimensional algorithm for the hydrodynamic simulation of single bubble sonoluminescence As a preliminary step towards the simulation of single bubble sonoluminescence the hydrodynamics of the collapse and rebound of a 10 micron air bubble in water is studied with direct numerical simulations With numerical simulations it was shown that due to the inertial effect of the liquid compressing the gas a bubble implosion takes place The air bubble reaches a minimum radius during the implosion and then bounces back due to the high internal gas pressure It is observed

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=354 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    over sufficiently long times are needed to ensure that the assumed statistical properties are satisfied As a result such tools are useful in gaining insight and understanding of the underlying mechanisms behind observed physical phenomena but are not amenable to material property design or material process control In this paper we focus on the computation of shear viscosity of a fluid like material We take a systems approach by regarding viscosity as a scalar input output map from shear stress to shear strain rate Linearizing this map about an equilibrated trajectory results in a linear time varying system By freezing the time along the equilibrated trajectory we obtain a set of linear time invariant systems These systems are usually unstable but may be transformed to stable systems by weighing all signals with sufficiently fast decaying exponential functions Viscosity is then estimated directly from the frequency responses of these systems Model reduction such as approximate balanced truncation may be applied to further reduce model complexity and computation load The reduced basis generated from model reduction can also be used to approximate the original nonlinear molecular dynamics equation to obtain a nonlinear reduced order model This approach has a potential computation advantage

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=355 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    the SUPG formulation for the transient 3D incompressible Navier Stokes equations which are discretized by linear finite elements for both the pressure and the velocity field Given the pulsatile nature of the flow in blood vessels we have pursued adaptavity based on the average flow over a cardiac cycle Error indicators are derived to define an anisotropic mesh metric field Mesh modification algorithms are used to anisotropically adapt the mesh

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=356 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    some significant features of the viscoelastic behavior of unentangled polymer melts reinforced with well dispersed non agglomerated nanoparticles is presented Nanocomposites with low filler volume fraction 10 and strong polmer filler interactions are considered The model is calibrated based on results obtained from discrete simulations of the equilibrium molecular structure of the material This analysis provides teh statistics of the network of chains connecting fillers of dangling strands having one

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=378 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Mesoscale Approaches Year 2004 Journal Journal of Polymer Science Volume 43 Pages 994 1004 Institution RPI Abstract The mechanism of deformation in glasses is very different from that of crystals even though their general behavior is very similar In this

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=381 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    smooth domains these meshes are characterized by having large curved elements over smooth portions of the domain and geometrically graded curved elements to isolate the edge and vertex singularities that are of interest This paper presents a procedure under development for the automatic generation of such meshes for general three dimensional domains defined in solid modeling systems Two key steps in the procedure are the determination of the singular model

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=398 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    over the past decade on technologies like the automatic generation of finite element mesh and other analysis discretizations directly from solid model representations 1 8 provide one of the tools to allow the effective use of simulation during design However a number of additional capabilities and structures are needed to truly integrate the simulation technologies into engineering design One of the needed capabilities would support the effective association of simulation information to evolving design definitions Although the methods used to automate mesh generation of solid models provides a means to link the simulation results model s boundary representation it is well recognized such representations are not the most appropriate design representations A second needed capability is the adapt control of automated analysis model construction methods that accounts for the current state of the design and provides a means to control the simulation accuracy needed for the design performance parameters the simulation is to provide This paper will discuss efforts on the development of a set of structures and methods that when combined with available advanced CAD representations and CAE tools will support the effective application of simulation technologies in support of engineering design processes The next section gives a brief

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=400 (2015-07-15)
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