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Showing 1 to 16 of 16 for “"Streamline-Upwind Petrov-Galerkin"”.
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A Streamline Upwind/ Petrov-Galerkin FEM based time-accurate solution of 3D time-domain Maxwell's equations for dispersive materials
… equations for dispersive materials in a Streamline Upwind/Petrov-Galerkin framework is investigated. For this purpose the permittivity associated with a material is expressed as a matrix, enabling the solution of anisotropic material models with multiple poles. Here diagonally isotropic …
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Design optimization of acoustic metamaterials and phononic crystals with a time domain method
… problem is solved in the time-domain using a Streamline Upwind/Petrov Galerkin formulation. Topology parameterization is accomplished using the homogenization method, and shape optimization is subsequently used afterwards to refine the geometries. Surface parameterization is accomplished using …
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Error analysis of higher order time-domain finite element methods for the one-dimensional Maxwell's equations
A well known nodal discontinuous Galerkin finite element method has been extended for higher order temporal accuracy using several schemes. While common in computational fluid dynamics, less research has been conducted with these methods for computational electromagnetics. A stabilized finite …
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Modeling of high enthalpy flows for hypersonic re-entry and ground-based arc-jet testing
… effects. A numerical method based on the streamline upwind Petrov-Galerkin (SUPG) finite element formulation is utilized. A two-way loose coupling strategy between the flow solver and the electric field is introduced to achieve convergence. The methodology is first tested by modeling …
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Optimal design and analysis for polymer extrusion and molding
… are formed via the Hele-Shaw flow analysis and Galerkin finite element method. The pressure induced velocity field is then used to derive a hyperbolic differential equation which evaluates the material residence time in the polymer melt. This hyperbolic equation lacks natural diffusion, …
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Some theoretical aspects of fibre suspension flows
… necessitates a modification of the standard Galerkin-based approach. We investigate the conditions under which convergence is obtained, for unidirectional flows, with the use of the Streamline Upwind (SU) method, and the Streamline upwind Petrov/Galerkin (SUPG) method.
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Stabilized finite elements for compressible turbulent Navier-Stokes
… (SA) turbulence model are discretized using the streamline/upwind Petrov-Galerkin (SUPG) scheme. A fully implicit methodology is used to obtain steady state solutions or to drive unsteady problems at each time step. Order of accuracy is assessed for inviscid and viscous flows in two and three …
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Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems
… methods need to be integrated into the classic Galerkin formulation. We implement the so-called streamline upwind Petrov-Galerkin method into the adaptive moving mesh method. In particular, we investigate the computation of so-called enhanced diffusivity for spatiotemporal periodic turbulent …
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Finite Element Modeling of Steel Corrosion in Concrete Structures
… species. Special analysis schemes, based on the streamline-upwind Petrov-Galerkin (SUPG) method, have also been implemented to address the spatial instabilities which characterize analyses of advection-dominated transport. The finite element modeling scheme, constitutive laws and boundary …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
… of an overset grid methodology for use within a streamline/upwind Petrov-Galerkin formulation for unsteady, viscous, moving boundary simulations. A novel hole cutting procedure based on solutions to Poisson equation is introduced and compared to existing techniques. A MPI-based parallel …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
… of an overset grid methodology for use within a streamline/upwind Petrov-Galerkin formulation for unsteady, viscous, moving boundary simulations. A novel hole cutting procedure based on solutions to Poisson equation is introduced and compared to existing techniques. A MPI-based parallel …
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Stabilization of POD-ROMs
… The first stabilized ROM investigated is a streamline-upwind Petrov-Galerkin ROM (SUPG-ROM). I prove error estimates for the SUPG-ROM and derive optimal scalings for the stabilization parameter. I test the SUPG-ROM with the optimal parameter in the numerical simulation of a …
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A Higher Order Accurate Finite Element Method for Viscous Compressible Flows
The Streamline Upwind/Petrov-Galerkin (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-Stokes equations in two dimensions. The unknown flow quantities are discretized on meshes of triangular elements using triangular …
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Finite Element Simulation of Interfacial Flows on Unstructured Meshes using a Second-order Accurate VOF Method
… interpolation for the velocity and pressure. Streamline upwind Petrov-Galerkin (SUPG) stabilization is used for convection-dominated flows. Fluid interfaces are reconstructed and advected using a second-order accurate VOF method. An accurate least-squares circle-fit technique has been …
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Solution of fully-coupled shallow water equations and contaminant transport using a primitive variable Riemann solver and a semi-discrete SUPG method
… than conserved variables, and a semi-discrete Streamline Upwind Petrov-Galerkin (SUPG) method in finite element context are applied to compare the performance of these two numerical models. The Riemann-solver scheme is based on the unstructured finite volume discretization using …
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Computational design for electromagnetic simulations
… a temporally and spatially higher-order accurate Streamline Upwind/Petrov-Galerkin finite-element method that numerically solves Maxwell’s equations in the time domain using implicit time stepping. The software for computing sensitivity derivatives employs a reverse-mode time-accurate discrete …