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Showing 1 to 20 of 75 for “"Poisson equation"”.
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On the direct solution of the poisson equation
… direct methods for solving the discrete Poisson equation. In particular it gives a detailed account of the methods of Hockney and Buneman.
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A Numerical Conformal Mapping Method and the Poisson Equation on Irregular Domains
… irregular region. All the systems of linear equations that arise in formulating the method, are solved using Rapid Elliptic Solvers. Therefore, this technique may be regarded as a fast mapping technique. Applications of the method include: (i) generation curvilinear coordinate systems, and …
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A meshfree method for the Poisson equation with 3D wall-bounded flow application
The numerical approximation of the Poisson equation can often be found as a subproblem to many more complex computations. In the case of Lagrangian approaches of flow equations, the Poisson equation often needs to be solved on an irregular point distribution. Currently, mainly unstructured …
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A multilevel method for meshless solution of the poisson equation in heat transfer and fluid flow
… based methods for solving partial differential equations in complex geometries. Gaussian, Multiquadratics and inverse Multiquadratics are some of the more popular RBF's, but the require a shape paramter for a stable and accurate solution and also face stagnation issues. Recently, Polyharmonic …
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A Continuous/Discontinuous FE Method for the 3D Incompressible Flow Equations
… solution of the incompressible Navier-Strokes equation is presented. Finite element discontinuous Galerkin (dG) discretization for the velocity in the momentum equations is employed. The incompressibility constraint is enforced by numerically solving the Poisson equation for pressure using a …
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Contributions to mixing and hypocoercivity in kinetic models
… a stability mechanism common to both the Vlasov–Poisson equation and the Kuramoto equation. These kinetic models come from very different areas of physics: the Vlasov–Poisson equation models plasmas and the Kuramoto equation models synchronisation behaviour. The stability was first described by …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
<p>In this thesis we examine the Navier-Stokes equations (NSE) with the continuity equation replaced by a pressure Poisson equation (PPE). Appropriate boundary conditions are developed for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of …
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Tri-helical direct gravure coating
… the form of an analytical solution of the flow equation (a Poisson equation) along a groove. An extension to this model is made by solving the Poisson equation for non-rectangular grooves using the finite element method. Simple meniscus models were applied to make the problem tractable. …
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Band-to-band tunneling in silicon diodes and tunnel transistors
… probability combined with an uncoupled full-band Poisson equation solver and the calculated band structure changes is developed to model the experimental results. Reasonable agreement between experimental data and theoretical calculations is found when comparing the relative change in tunneling …
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Modeling of Charge Carrier Transport in Photoetching of Gallium Arsenide
… the Galerkin Finite Element Method to solve the Poisson equation for the potential and the species balance equations for holes and electrons in two dimensions. Each species balance equation included terms for generation, recombination, diffusion and migration. A technique was developed to examine …
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Controlled particle systems for nonlinear filtering and global optimization
… optimization, and numerical solutions of the Poisson equation that arise in both filtering and optimization. For the nonlinear filtering problem, the main contribution is to extend the feedback particle filter (FPF) algorithm to connected matrix Lie groups. In its general form, the FPF is …
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Adiabatic thermal Child-Langmuir flow
… flow theory. In this theory, a self-consistent Poisson equation is developed through the use of the fluid-Maxwell equations and an adiabatic equation of state. The adiabatic equation of state is also a statement of normalized rms thermal emittance conservation. Solving the self-consistent …
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Mathematical modelling of evaporation mechanisms and instabilities in cryogenic liquids
… <p class="MsoNormal">The coupled differential equations for the main model were solved using an explicit upwind scheme for the vorticity-transport, temperature and concentration equations and the multigrid method for the Poisson equation. From plots of the evolution of the system, it is found …
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Numerical studies of unsteady flow past bluff bodies
… studied by solving the full Navier-Stokes equations at Reynolds numbers up to 1000 to study onset of vortex shedding and early stages of flow evolution. Loads have been calculated for the trapezoid section by solving Poisson equation for total pressure and its connection to the generation …
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Massively parallel solver for the high-order Galerkin Least-Squares method
… high-order discretization of the Poisson equation, the advection-diffusion equation, and the Euler equation. The Robin-Robin interface condition is extended to the Euler equation using the entropy-symmetrized variables. The BDDC method maintains scalability for the high-order …
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Direct numerical simulations of separated and separated-reattaching flows on massively parallel processing computers
… has been developed for the pressure-Poisson equation. A mixed Fourier-spectral/finite-difference formulation is used for the spanwise discretization, and a data-parallel algorithm has been developed for the CM-5. The performance of the algorithm has been evaluated on various grid …
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Modeling and optimization of permanent magnetic motors
… a wide range of motor mass. The solution of the Poisson Equation, found as a function of the three spatial coordinates, is applied to the prediction of motor fluxes. Back EMF waveforms of prototype motors are measured in order to validate the analytical predictions. The solution of the …
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Analysis of Energy-Transport Models for semiconductors
… in the semiconductor devices. Usually the set of equations are given by the balance equations for density and energy of the charge carriers, coupled to the Poisson equation for the electric potential. Two energy transport models, with and without crystal heating, are presented with diff erent …
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Modeling of high enthalpy flows for hypersonic re-entry and ground-based arc-jet testing
… The system of Favre-averaged Navier-Stokes equations in thermo-chemical non-equilibrium with Spalart-Allmaras turbulence closure is outlined, along with models for thermodynamics, chemical kinetics, transport properties, and the applied electric field. The electric field and the Joule …
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Modeling flow encountering abrupt topography using hybridizable discontinuous Galerkin projection methods
… stabilization parameter for both the momentum equation as well as tracer diffusion. We also make a correction to our singularity treatment algorithm for nailing down a numerically consistent and unique solution to the pressure Poisson equation with homogeneous Neumann boundary conditions …
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