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 13 of 13 for “"Convection-Diffusion Equation"”.
-
The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… efficient solution of a time dependent reaction convection diffusion equation with small parameter on the diffusion term will be presented. The method is based on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain …
-
On Approximation and Optimal Control of Nonnormal Distributed Parameter Systems
For more than 100 years, the Navier-Stokes equations and various linearizations have been used as a model to study fluid dynamics. Recently, attention has been directed toward studying the nonnormality of linearized problems and developing convergent numerical schemes for simulation of these …
-
Formulações de elementos finitos bi e tridimensionais para simulação em paralelo de escoamentos em reservatórios de petróleo
… consists in a system of a partial differential equations given by an elliptic subsystem which describes the pressure and the velocity of mixture, and a convection-diffusion equation which describes the concentration of the injected fluid. Global and local post-processing techniques are employed …
-
A-Posteriori bounds on linear functionals of coercive 2nd order PDEs using discontinuous Galerkin methods
… functionals of linear partial differential equations in a number 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 …
-
An FVE-FAC approach for the weldpool problem
… of the unmelted metal. The governing system of equations is known as the weldpool problem. The weldpool problem is discretized using finite differences to discretize time derivatives and the Finite Volume Element method (FVE) to discretize spatial derivatives. Multigrid methods, known to be …
-
Model reduction for dynamic sensor steering : a Bayesian approach to inverse problems
… spread of the contamination is modeled by the convection diffusion equation. A Bayesian approach to the inverse problem yields an estimate of the probability density function of the initial contaminant concentration, which can then be propagated through the forward model to determine the …
-
Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations
… quadratic regulator (LQR) control problems for convection diffusion equations. The motivation for this effort comes from the observation that when linearization is applied to fluid flow control problems the resulting equations have the form of a convection diffusion equation. This effort is …
-
Theoretical and practical aspects of linear and nonlinear model order reduction techniques
… the channel is described by a three-dimensional convection-diffusion equation. First, we demonstrate the effectiveness of the modified AISIAD method in generating a low order models that correctly describe the dispersion of the marker in the linear case; that is, for the case of …
-
Solidification in a thin liquid film : growing Alq₃ needles via methanol-vapor annealing
… of the fluid films is modeled by a lubrication equation, and a convection-diffusion equation captures the transport of Alq3 and methanol within the films. We define a dimensionless transport coefficient, [alpha], which describes the relative effects of diffusion and coarsening-driven convection. …
-
Radial basis function based meshless methods for fluid flow problems
… schemes are proposed for solving an unsteady convection-diffusion equation for various Peclet numbers. Both global and compactly supported radial basis functions are used and the convergence behaviours of various radial basis functions are studied. The performance of the presented schemes is …
-
Power plant carbon dioxide emission quantification with plume modeling
… mathematical and physical models, such as a convection-diffusion plume model and a Gaussian plume model. The convection-diffusion model is based on the convection-diffusion partial differential equation describing mass transfer in diffusion and convection fields. The Gaussian model is a …
-
New Sequential and Scalable Parallel Algorithms for Incomplete Factor Preconditioning
… solution of large, sparse, linear systems of equations <em>Ax </em>= <em>b</em> is an important kernel, and the dominant term with regard to execution time, in many applications in scientific computing. The large size of the systems of equations being solved currently (millions of unknowns and …
-
Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps
… thesis is about integrable Partial Differential Equations (PDEs). Here "integrable" means that the given PDE or system of PDEs can be written as the compatibility condition of a set of linear equations, the so-called Lax pair, and can be solved via a method related to the Inverse Scattering …