Title of Dissertation: On the Implementation of an Accurate and Efficient Solver for Convection-Diffusion Equations Chin-Tien Wu, Doctor of Philosophy, Nov 2003 Dissertation directed by: Dr. Howard C. Elman Department of Computer Science In this dissertation, we examine several different aspects of computing the numerical solution of the convection-diffusion equation. The solution of this equat...

Two-dimensional steady inviscid flow past an inclined flat plate with a forward-facing flap attached to the rear edge is considered for the case when a vortex sheet separates from the leading edge of the flat plate and reattaches at the leading edge of the flap, with uniform vorticity distributed between the vortex sheet and the body. Solutions are found for a particular geometry and a range of...

Implicit time integration coupled with SUPG discretization in space leads to additional terms that provide consistency and improve the phase accuracy for convection dominated flows. Recently, it has been suggested that for small Courant numbers these terms may dominate the streamline diffusion term, ostensibly causing destabilization of the SUPG method. While consistent with a straightforward f...

Standard (conforming) finite element approximations of convection-dominated convectiondiffusion problems often exhibit poor stability properties that manifest themselves as nonphysical oscillations polluting the numerical solution. Various techniques have been proposed for the stabilisation of finite element methods (FEMs) for convection-diffusion problems, such as the popular streamline upwind...

From the classical antenna theory, characteristics of receiving can be analyzed by Thévenin equivalent circuit, but this circuit has limitations in determining dissipated power for a lossy antenna. In paper, Poynting streamline method is used to directly model as receiver where flow field energy around represented generating streamlines vector field. This provides better understanding true phys...

this paper deals with aerodynamic design of fan and compressor assembly for turbofan engines having arbitrary by-pass ratios. two different softwares were developed in this respect. first, based on general performance data at design point condition, a one-dimensional approach was activated. initial flow passages of both fan and compressor, together with splitter position were developed utilizin...

This paper describes a newly developed streamline curvature throughflow method for the analysis of radial or mixed flow machines. The code includes curved walls, curved leading and trailing edges, and internal blade row calculating stations. A general method of specifying the empirical data provides separate treatment of blockage, losses, and deviation. Incompressible and compressible fluids ar...

A method for solving the saturation equation for two-phase ow is presented. The method may be viewed as an operator splitting method or as an Eulerian-Lagrangian backtracking procedure or as a modiied method of characteristics. For each time step, the method consists of an advection step and a diiusion step. The advection step requires the tracking of streamlines locally around certain integrat...

We present a particle-based method to simulate carbonate dissolution at the pore scale directly on the voxels of three-dimensional micro-CT images. The flow field is computed on the images by solving the incompressible Navier-Stokes equations. Rock-fluid interaction is modeled using a three-step approach: solute advection, diffusion, and reaction. Advection is simulated with a semianalytical po...