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Showing 1 to 20 of 23 for “"Hdg"”.
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Dg And Hdg Methods For Curved Structures
… of hybridizable</p> <p>discontinuous Galerkin (HDG) methods for Naghdi arches.</p> <p>The main feature of these methods is that they can be</p> <p>implemented in an efficient way through a hybridization</p> <p>procedure which reduces the globally coupled unknowns to</p> <p>approximations to the …
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A priori analysis of global and local output error estimates for CG, DG and HDG finite element discretizations
… Discontinuous Galerkin (DG), and Hybridized DG (HDG) methods are analyzed for the Poisson problem. A mixed formulation for DG output error estimation is proposed with improved convergence rates relative to the common approach utilizing statically condensed, p-dependent lifting operators. The HDG …
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Efficient matrix-free implementation and automated verification of hybridizable discontinuous Galerkin finite element methods
… methods for hybridizable discontinuous Galerkin (HDG) schemes for fluid and ocean dynamics. In the first part, we compare choices in weak formulations and their numerical consequences. We address details in making the leap from the mathematical formulation to the implementation, including the …
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Modeling flow encountering abrupt topography using hybridizable discontinuous Galerkin projection methods
… high-order hybridizable discontinuous Galerkin (HDG) projection methods are further developed for ocean dynamics and geophysical fluid predictions. We investigate the effects of the HDG stabilization parameter for both the momentum equation as well as tracer diffusion. We also make a correction …
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A time-spectral hybridizable discontinuous Galerkin method for periodic flow problems
… Hybridizable Discontinuous Galerkin (HDG) method for periodic flow problems, together with applications to flow through cascades and rotor/stator assemblies in aeronautical turbomachinery. The present work combines a Fourier-based Time-Spectral discretization in time with an HDG …
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Review of current practices to reduce reinforcement corrosion in concrete structures managed by the City of Cape Town
… Reinforced Polymer (FRP), Hot Dip Galvanized (HDG) steel, and Stainless Steel rebar. Each alternative has advantages and disadvantages depending on design applications and durability requirements. The use of corrosion-resistant rebar would increase the structure's longevity, thus providing …
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Towards Coupled Nonhydrostatic-Hydrostatic Hybridizable Discontinuous Galerkin Method
… using the hybridizable discontinuous Galerkin (HDG) finite element methodology by taking advantage of the local and global HDG solvers for combining HS with NHS solvers. The multi-dynamics is derived, and the first version is implemented in the HDG framework to quantify computational costs and …
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Implementation of an implicit-explicit scheme for hybridizable discontinuous Galerkin
… Hybridizable Discontinuous Galerkin (HDG), are used in many applications. One choice made when implementing HDG for a specific problem is whether time integration should be performed implicitly or explicitly. Both approaches have their advantages but, for some problems, a combination …
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A Hybridized Discontinuous Petrov-Galerkin scheme for compressible flows
… of the Hybridized Discontinuous Galerkin (HDG) method and the theory of the optimal test functions, suitably modified to enforce the conservativity at the element level. The new scheme maintains the same number of globally coupled degrees of freedom as the HDG method while increasing the …
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Characterisation of endothelial cell metabolic plasticity and vascular remodelling in the retina
… + 5 m M D-Glucose (HLG), or 25 m M D-Glucose (HDG) for four weeks, along with a hypoxic exposure (1% O2, 5% CO2 )for 24 hours before experiments were performed, mimicking diabetic-like conditions. Assessments of in vitro metabolism were assessed using the Seahorse XF system and qPCR to …
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A hybridized discontinuous Galerkin formulation for modeling electrohydrodynamic thrusters
… presents a Hybridized Discontinuous Galerkin (HDG) formulation for solving the EHD thruster governing equations with the exception of fluid flow equations. The problem is two-way coupled and non-linear. A smoothed charge injection model from the literature for the corona discharge is included …
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Development of new coating alloys
… to these carbon steels via hot-dip galvanizing (HDG). However, the high temperatures involved in HDG (460 °C) can undesirably alter the microstructure of substrate steels. Therefore, the study introduces novel coating alloys with lower liquidus temperatures (TL), aimed at preserving the substrate …
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High order hybrid discontinuous Galerkin regional ocean modelling
… on the novel hybrid discontinuous Galerkin (HDG) method in combination with projection methods. The new numerical schemes are first derived for the Navier-Stokes equations. To ensure mass conservation, we define numerical fluxes that are consistent with the discrete divergence equation. To …
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Transient stability assessment of hybrid distributed generation using computational intelligence approaches
… what is known as Hybrid Distributed Generation (HDG). The challenge with hybrid distributed generation (HDG) powered by intermittent renewable energy sources such as solar PV, wind turbine and small hydro power is that the system is more vulnerable to instabilities compared to single renewable …
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Simulation methods for plasmonic structures
… develop the hybridizable discontinuous Galerkin (HDG) method for Maxwell's equations augmented with the hydrodynamic model for metals, which accounts for the nonlocal interactions between electrons that become predominant at nanometric regimes. Secondly, we develop a reduced order modeling (ROM) …
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Domain decomposition preconditioners for higher-order discontinuous Galerkin discretizations
… hybridizable discontinuous Galerkin (HDG) discretization combined with an implicit solution method is proposed as a means to attain engineering accuracy at lower computational cost. Domain decomposition methods are studied for the parallel solution of the linear system arising at each …
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Environmentally friendly hybrid coatings for corrosion protection: silane based pre-treatments and nanostructured waterborne coatings
… applied onto aluminium and hot dip galvanized (HDG) steel for the development of effective and environmentally friendly corrosion protection systems A chemical and electrochemical characterization of the sol-gel films highlighted their good corrosion protection properties both for aluminium and …
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A reduced-basis method for input-output uncertainty propagation in stochastic PDEs
… to the Hybridizable Discontinuous Galerkin (HDG) approximation of the underlying PDE, which allows for a rapid and accurate evaluation of the input-output relationship represented by a functional of the solution of the PDE. The method has been devised for problems where an affine …
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Towards next generation ocean models : novel discontinuous Galerkin schemes for 2D unsteady biogeochemical models
… discussed. The Hybrid Discontinuous Galerkin (HDG) Finite Element Method (FEM) is identified as a promising new numerical scheme for ocean simulations. For the first time, a DG FEM scheme is used to solve ocean biogeochemical advection-diffusion-reaction equations on a two-dimensional idealized …
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Simulation and design optimization for linear wave phenomena on metamaterials
… This thesis is focused on linear phenomena. An HDG simulation code has been developed and optimization problems for the design of some model devices have also been formulated. A series of numerical results are also included showing how effective and unintuitive such designs are.
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