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Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 2007-09-17)
Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ...
LES For Wing Tip Vortex Around An Airfoil
(Mathematics, 2007-08-23)
The wing tip vortex is very important because of its effects on the noise generation, blade/vortex interactions on helicopter blades, propeller cavitations on ships, and other fields. The objective of this work is to use ...
New Developments Of The Deformation Method
(Mathematics, 2007-08-23)
New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ...
Direct Numerical Simulation For Flow Transition Over A Flat Plate
(Mathematics, 2007-08-23)
In this paper, direct numerical simulation (DNS) of flow transition over a flat plate at a free stream Mach number of 0.5 and a Reynolds number of 1000 based on the free stream velocity and inflow displacement thickness ...
The Least-squares Finite Element Method For Grid Deformation And Meshfree Applications
(Mathematics, 2007-08-23)
Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ...
On The Image Of The Totalling Functor
(Mathematics, 2007-08-23)
Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. ...