02657nas|a2200409 i 4500 20260817162508.0 030815s2003 th uzm rtt 00| a1eng d .b1189393x AIT Thesis no.ST-03-08 Chinapat Buachart 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 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering Thesis (M.Eng.) - Asian Institute of Technology, 2003 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. Newtonian fluids Galerkin methods Numerical analysis Barry, William Joseph, Chairperson Worsak Kanok-Nukulchai, Examination Committee Kim, Kidu, Examination Committee Royal Thai Government, Scholarship donor Asian Institute of Technology. Thesis ; no. ST-03-08 Full-Text http://203.159.5.9/ait-thesis/detail.php?q=B08884 .b1189393x mnait u 240404 0 030815 m a u 0 mnait mnarc 22 40 Barcode : 30050120745632 CREATED : 2014-04-29 RECORD # : i1279367x LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050160067558 CREATED : 2016-04-19 RECORD # : i12937769 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 5210 5210 0 0 0 0 MAIN MAIN mnait 2026-08-17 50.00 0 AIT Thesis no.ST-03-08 30050120745632 2026-08-17 16:25:08 3 2026-08-17 22 0 0 0 0 MAIN MAIN mnarc 2026-08-17 0 AIT Thesis no.ST-03-08 30050160067558 2026-08-17 16:25:08 1 2026-08-17 40