Chinapat Buachart <br/><br/>
Analysis of two-dimensional steady-state laminar flow with the element-free Galerkin method 

 - Bangkok :  Asian Institute of Technology,  2003 
 - 154 leaves 
 - Thesis ;  no. ST-03-08 .
 - Asian Institute of Technology.  Thesis ;  no. ST-03-08 .
<br/><br/> A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering 
<br/><br/>Thesis (M.Eng.) - Asian Institute of Technology, 2003 
<br/><br/> An element-free Galerkin (EFG) method for the analysis of two-dimensional steady-state laminar flow is proposed. The EFGM formulations are derived from pseudovariational theories (Olson, 1975). Generalized moving least-squares approximation functions, which allow the direct approximation of solution variables and their first derivatives, are employed in the proposed method. Lagrange multipliers are used to impose essential boundary conditions, which include values of the stream function and its derivatives (velocities). Two patch tests including case with linear and cubic stream functions, respectively are studied to verify the proposed method. Next, steady-state flows around a rectangular obstruction as well as a circular cylinder are analyzed. The proposed method is shown to give accurate solutions, including the appearance of vortices downstream from obstructions, for Reynolds number up to 100. 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Newtonian fluids<br/>Galerkin methods<br/>Numerical analysis