Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 24 for “"DG Method"”.
-
High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… scheme, based upon the Discontinuous Galerkin (DG) method, is introduced to solve one- and two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic lubrication, including some history, and a …
-
A scalable computational approach for modeling dynamic fracture of brittle solids in three dimensions
In this thesis a new parallel computational method is proposed for modeling threedimensional dynamic fracture of brittle solids. The method is based on a combination of the discontinuous Galerkin (DG) formulation of the continuum elastodynamic problem with Cohesive Zone Models (CZM) of fracture. In …
-
The relationship between teacher talk and children's possibility thinking in the Drama Game method in Cypriot primary education
… between these two strands during the Drama Game (DG) method in Cypriot primary classrooms. This is the first empirical study in Cyprus concerning the DG method; drama is a new curriculum area in primary education (CMEC, 201Ib). Possibility thinking has been conceptualized as a process of thinking …
-
Discontinuous Galerkin solutions of the Boltzmann equation: spectral collocation and moment methods
… the ability of the discontinuous Galerkin (DG) method to numerically solve the Boltzmann equation. Constructing numerical methods for this equation is a challenge, due in part to the kinetic theory description of moving particles, which relies on space, time, and velocity variables. Two …
-
An adaptive variational multiscale method with discontinuous subscales for aerodynamic flows
A promising methodology for accurate and efficient simulation of aerodynamic flows is output-based mesh adaptation, which optimizes a mesh to minimize the discretization error in an output of interest. The state of the art in output-based adaptation uses the discontinuous Galerkin (DG) method, …
-
Complex flow and transport phenomena in porous media
… efficient high order discontinuous Galerkin (DG) methods to solve them numerically. Specifically, the coupling of the Navier-Stokes and the Darcy's equations, which is encountered in the environmental problem of groundwater contamination through lakes and rivers, is considered. Predicting …
-
Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes
… properties of discontinuous Galerkin (DG) methods for two-dimensional hyperbolic problems. We investigate the superconvergence properties of the DG method applied to scalar first-order hyperbolic partial differential equations on triangular meshes. We study the effect of finite element …
-
Unstructured Nodal Discontinuous Galerkin Method for Convection-Diffusion Equations Applied to Neutral Fluids and Plasmas
In recent years, the discontinuous Galerkin (DG) method has been successfully applied to solving hyperbolic conservation laws. Due to its compactness, high order accuracy, and versatility, the DG method has been extensively applied to convection-diffusion problems. In this dissertation, a numerical …
-
A survey of discontinuous Galerkin methods for solving the time domain Maxwell's equations
The discontinuous Galerkin (DG) method with different numerical fluxes is applied to the square wave guide problem to avoid spurious modes that arise from the application of standard finite element methods. These numerical fluxes are the central, upwind and Lax-Friedrichs found in the literature. A …
-
A-Posteriori bounds on linear functionals of coercive 2nd order PDEs using discontinuous Galerkin methods
… of ways. Unlike previous approaches, we base our method on the Discontinuous Galerkin finite element method. For equations such as the convection-diffusion equation, the convection term is handled by the standard DG method for hyperbolic problems while the diffusion operator is discretized by the …
-
Bilinear Immersed Finite Elements For Interface Problems
… immersed finite element spaces; (2) numerical methods based on these IFE spaces for solving interface problems; and (3) the corresponding error analysis. All of these together form a solid foundation for the bilinear IFEs. The research on immersed finite elements is motivated by many real world …
-
Adaptive Discontinuous Galerkin Methods Applied to Multiscale & Multiphysics Problems towards Large-scale Modeling & Joint Imaging
… on a unified high-order discontinuous Galerkin (DG) method, with adaptive nonconformal meshes, for efficient wave propagation modeling. This algorithm is compatible with a diverse portfolio of real-world geophysical/biomedical applications, ranging from longstanding tough problems: such as …
-
High-order implicit large-eddy simulation for transitional aerodynamics flows
… consists of a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier-Stokes (NS) equations and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG methods with an efficient solution procedure …
-
Towards next generation ocean models : novel discontinuous Galerkin schemes for 2D unsteady biogeochemical models
… to quantitatively identify promising numerical methods that are suitable to such predictions. In order to fulfill this purpose, current efforts towards creating new ocean models are reviewed, an understanding of the most promising methods used by other researchers is developed, the most …
-
Accelerating The Discontinuous Galerkin Cell-Vertex Scheme (Dg-Cvs) Solver On Cpu-Gpu Heterogeneous Systems
Dg-Cvs (Discontinuous Galerkin Cell-Vertex Scheme) is an efficient, accurate and robust numerical solver for general hyperbolic conservation laws. It can solve a broad range of conservation laws such as the shallow water equation and Magnetohydrodynamics equations. Dg-Cvs is a Riemann-Solver-free …
-
A robust simplex cut-cell method for adaptive high-order discretizations of aerodynamics and multi-physics problems
… geometry of interest; a discontinuous Galerkin (DG) discretization which permits an easy extension to high-order accuracy; and an anisotropic output-based adaptation which improves the discretization mesh for an accurate output prediction in a fully-automated manner. Two issues are addressed that …
-
Applications of smoothness-increasing accuracy-conserving filtering to particle-in-cell data denoising, enhanced multiresolution analysis, and entropy-correction schemes
… very challenging, and while different numerical methods have their own advantages, there is no single numerical method without drawbacks. For example, data arising from Particle-In-Cell (PIC) methods have noise in their numerical solutions owing to the use of finitely many particles. The …
-
Refined theories and Discontinuous Galerkin methods for the analysis of multilayered composite structures
… it can be obtained employing several numerical methods that can provide very detailed results at an high computational cost. This approach is well suited for small parts but cannot be applied to complex structures or for damage-tolerance analysis. Thus, accurate and computationally efficient …
-
The Effect of Electrical Stimulation of the Dorsal Raphe Nucleus on Local Cerebral Glucose Metabolism and Epileptogenesis in the Rat
… was elucidated first by the 2-deoxy-d-glucose (2-DG) method, and second by the effect of dorsal raphé electrical stimulation on kindled seizure in the rat. In the 2-DG study, differences in local rates of cerebral glucose metabolism were quantified. The pattern of 2-DG uptake differed …
-
A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes
… procedure for a discontinuous finite element method applied to scalar first-order hyperbolic problems on structured and unstructured tetrahedral meshes. We present a local error analysis to derive a discontinuous Galerkin orthogonality condition for the leading term of the discretization error …
Page 1 of 2