02023nas|a2200265 i 450000500170000000800410001703500150005810000220007324500960009526000520019130000150024349000270025850001350028550200580042052009150047865000210139365000210141465000230143570000400145870000510149870000380154971000460158781000590163385600650169220260817162508.0030815s2003    th  uzm rtt  00|  a1eng d  a.b1189393x0 aChinapat Buachart10aAnalysis of two-dimensional steady-state laminar flow with the element-free Galerkin method  aBangkok :bAsian Institute of Technology,c2003  a154 leaves1 aThesis ;vno. ST-03-08  aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering  aThesis (M.Eng.) - Asian Institute of Technology, 2003  aAn 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. 0aNewtonian fluids 0aGalerkin methods 0aNumerical analysis1 aBarry, William Joseph,eChairperson0 aWorsak Kanok-Nukulchai,eExamination Committee1 aKim, Kidu,eExamination Committee2 aRoyal Thai Government,eScholarship donor2 aAsian Institute of Technology.tThesis ;vno. ST-03-08  3Full-Textuhttp://203.159.5.9/ait-thesis/detail.php?q=B08884