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  • RPI SCOREC - Technical Reports
    High Order Finite Element Methods with Curved Element Geometry Year 2013 Journal Submitted to Engineering with Computers Abstract This paper presents a parallel adaptive mesh control procedure designed to operate with high order finite element analysis packages to enable large scale automated simulations on massively parallel computers The curved mesh adaptation procedure uses curved entity mesh modification operations that explicitly consider the influence of the curved mesh entities on element

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=590 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Anisotropic Mesh Adaptation and Analysis Year 2013 Journal Proc ADMOS 2013 Abstract It is well known that adaptive methods provide the most effective means to obtain reliable solutions and control the amount of computation required However for many classes of problems the best adaptive method still requires a level of computation that demands massively parallel computing This paper presents a set of technologies for parallel adaptive simulation that includes a

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=595 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    spac ings near the walls that depend on the turbulence models used Semi structured meshes are often used in the turbulent wall boundary layers due to their ability to be strongly graded and anisotropic To reduce the discretization errors in the solution an adaptive approach becomes essential due to the lack of good a priori error indicators Properties of the turbulent boundary layers can be directly calculated from the flow

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=596 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    the phenomenon depends largely on the mesh spacings especially near the walls in the boundary layer region Special semi structured meshes called mesh boundary layers are widely used in the CFD community in simulations of turbulent flows because of their graded and orthogonal layered structure They provide an efficient way to achieve very fine and highly anisotropic mesh spacings without introducing poorly shaped elements Since usually the required mesh spacings to accurately resolve the flow are not known a priori to the simulations an adaptive approach based on a posteriori error indicators is used to achieve an appropriate mesh In this study we apply the adaptive meshing techniques to turbulent flows with a focus on boundary layers We construct a framework to calculate the critical wall normal mesh spacings inside the boundary layers based on the flow physics and the knowledge of the turbulence model This approach is combined with numerical error indicators to adapt the entire flow region We illustrate the effectiveness of this hybrid approach by applying it to three aerodynamic flows and studying their superior performance in capturing the flow structures in detail We also demonstrate the capabilities of the current developments in parallel boundary layer mesh

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=598 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Oberai Title Adjoint consistency analysis of residual based variational multiscale methods Year 2013 Journal Journal of Computational Physcis Volume TBD Pages TBD Issue TBD Publisher Elsevier Abstract We investigate the conditions under which residual based variational multiscale methods are adjoint or dual consistent for model hyperbolic and elliptic partial di erential equations In particular while many residual based variational multiscale stabilizations are adjoint consistent for hyperbolic problems and nite element

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=599 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    field The incompressible MHD model is used in many engineering and scientifi c disciplines from the development of nuclear fusion as a sustainable energy source to the study of space weather and solar physics Many interesting MHD systems exhibit the phenomenon of turbulence which remains an elusive problem from all scienti fic perspectives This work focuses on the computational perspective and proposes techniques that enable the study of systems involving MHD turbulence Direct numerical simulation DNS is not a feasible approach for studying MHD turbulence In this work turbulence models for incompressible MHD were developed from the variational multiscale VMS formulation wherein the solution fi elds were decomposed into resolved and unresolved components The unresolved components were modeled with a term that is proportional to the residual of the resolved scales Two additional MHD models were developed based off of the VMS formulation a residual based eddy viscosity RBEV model and a mixed model that partners the VMS formulation with the RBEV model These models are endowed with several special numerical and physics features Included in the numerical features is the internal numerical consistency of each of the models Physically the new models are able to capture desirable MHD physics

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=600 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    harmonic Maxwell s equations using Nedelec elements is proposed This method appends a least squares term evaluated within element interiors to the standard Galerkin method For the case of lowest order hexahedral element the numerical parameter multiplying this term is determined so as to optimize the dispersion properties of the resulting formulation In particular explicit expressions for this parameter are derived that lead to methods with no dispersion error for

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=601 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    a matrix is studied in this work The network is composed from linear elastic fibers which store energy only in the axial deformation mode while the matrix is also isotropic and linear elastic Such systems are encountered in a broad range of applications from tissue to consumer products As the matrix modulus increases the network is constrained to deform more affinely This leads to internal forces acting between the network

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=602 (2015-07-15)
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