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  • RPI SCOREC - Technical Reports
    need to preserve the turbulent characteristics of the upstream flow that is not simulated In this thesis the rescaling recycling method for imposing boundary conditions at the inflow of turbulent boundary layer simulations is developed The inflow conditions are rendered more physically meaningful by rescaling the instantaneous solution from an internal plane normal to the wall located inside the computational domain using self similarity of the boundary layer velocity profile at each time step of the simulation Thus the fluctuations at the inflow incorporate correct turbulent structures This operation enables a reduction of the needed computational domain In addition the rescaling recycling method was implemented in a finite element software using unstructured meshes to expand its application to curved domains pipes contracting or expanding nozzles The important issue when using unstructured meshes is that the recycle plane from which the solution is rescaled is virtual and as such the solution must first be interpolated on that plane before the method can be applied In this thesis the LES solutions are presented for zero pressure gradient flat plate turbulent boundary layer using two different scaling laws First the scaling law developed by Lund Wu and Squires LWS is used An alternative

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=363 (2015-07-15)
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  • RPI SCOREC - Technical Reports

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    Original URL path: /reports/view_report.php?id=364 (2015-07-15)


  • RPI SCOREC - Technical Reports
    CA Abstract Realization of the full benefits of variable p version finite elements requires the careful construction of prismatic elements in thin sections This paper presents a procedure to automatically isolate the thin sections using the points on an approximate medial surface computed by an octree based algorithm Using the pairs of triangles associated with medial surface MS points in conjunction with adjacency classification and distance information sets of surface

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=365 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    it is an infrastructure executing underneath providing all needed mesh based operations From a fact that the flexibility of a mesh data structure comes from the levels of mesh entities and adjacencies present and by the needs of a distributed mesh data structure operates in a scalable manner this thesis focused on the development of a Flexible distributed Mesh DataBase FMDB capable of shaping its representation based on the specific needs of the application that efficiently supports parallel adaptive analysis in a parallel computing environment In order to properly maintain the needed representation even with mesh modification the mesh entity creation deletion operators are declared as function objects initially undetermined Once the needed representation is provided they are dynamically set to the proper operators The needed representation can be provided to the mesh database either by the user explicitly or by running the Dynamic Mesh Usage Monitor which monitors mesh usage of the application and provides an appropriate representation For the purpose of supporting distributed meshes on parallel computers a partition model has been developed The partition model is located between the partitioned mesh and the geometric model to represent mesh partitioning and support the mesh based inter partition operations

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=368 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    print Pages in print Abstract We propose a novel simulation method which can be used to readily parallelize simulations on systems with a large spatial extent We simulate small parts of the system with independent molecular dynamics simulations and only occasionally pass information between these simulations through a constitutive model free continuum approach We illustrate the power of this method in the case of a polymeric fluid undergoing rapid one

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=369 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    numerical simulations on different configurations shown in Fig 4 The AL 6061 T6 is modeled as an elastic plastic material using the Johnson Cook plasticity model the ERC is modeled as a hyperelastic viscoelastic material using the pressure and temperature dependent constitutive law Nemat Nasser 2004 The two material models were incorporated into ABAQUS and validated against experimental data Numerical simulations confirmed the stiffening behavior of the ERC at high

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=370 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    numerical methods for high order method This thesis addresses the first two issues in solving linear elliptic problems in general 3D curved domains An automatic p version mesh generation procedure to construct near optimal p version meshes is presented Starting from a surface triangulation the process automatically isolates and meshes the singular model features and thin sections with structured cylindrical graded meshes and one layer prismatic thin section meshes respectively A p version mesh curving procedure with gradation and thin section mesh control curves all the mesh entities on the model boundaries Controlled curved local mesh modifications are applied to correct the invalid mesh entities caused by curving the mesh entities Examples demonstrated that the curved p version meshes produced by this procedure save 15 to 40 fewer elements comparing to the curved meshes generated by curving without gradation and thin section control The simulation results presented further demonstrate these meshes provide superior simulation results with less computational effort The performance of the p version meshes are investigated in the p version analysis software StressCheck and Trellis Trellis takes advantage of a topology based high order hierarchic shape function structure to allow the assignment of different p order for the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=371 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    macroscopic scales Over the past half century simulation programs have been developed to support the computerized solution of these mathematical representations which in some cases are discretized with billions of degrees of freedom and solved on massively parallel computers with thousands of processors Historically scientists and engineers have applied these models simulation programs to solve problems on a single physical scale However in recent years it has become clear that to continue to make advances in the areas of nanotechnology and biotechnology and to develop new products and treatments based on those advances scientists and engineers must be able to solve sets of coupled models active over multiple interacting scales For example the development of new materials will require the design of structure and function across a hierarchy of scales starting at the molecular scales to define nanoscale building blocks that are used to define mesoscale features that are combined into micron scale weaves that used in the manufacturing of the complete part Figure 1 Such capabilities are clearly central to the development of nanoelectronics devices and future drug delivery systems Figure 2 as well as many of other future products For example consider new automotive skins made of nano

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=372 (2015-07-15)
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