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035 _a.b1189393x
099 9 _aAIT Thesis no.ST-03-08
100 0 _aChinapat Buachart
245 1 0 _aAnalysis of two-dimensional steady-state laminar flow with the element-free Galerkin method
260 _aBangkok :
_bAsian Institute of Technology,
_c2003
300 _a154 leaves
490 1 _aThesis ;
_vno. ST-03-08
500 _aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering
502 _aThesis (M.Eng.) - Asian Institute of Technology, 2003
520 _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.
650 0 _aNewtonian fluids
650 0 _aGalerkin methods
650 0 _aNumerical analysis
700 1 _aBarry, William Joseph,
_eChairperson
700 0 _aWorsak Kanok-Nukulchai,
_eExamination Committee
700 1 _aKim, Kidu,
_eExamination Committee
710 2 _aRoyal Thai Government,
_eScholarship donor
810 2 _aAsian Institute of Technology.
_tThesis ;
_vno. ST-03-08
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B08884
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