TY  - SER
AU  - Chinapat Buachart
AU  - Barry,William Joseph
AU  - Worsak Kanok-Nukulchai,
AU  - Kim,Kidu
ED  - Royal Thai Government,
TI  - Analysis of two-dimensional steady-state laminar flow with the element-free Galerkin method
T2  - Thesis
PY  - 2003///
CY  - Bangkok
PB  - Asian Institute of Technology
KW  - Newtonian fluids
KW  - Galerkin methods
KW  - Numerical analysis
N1  - 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
N2  - 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
UR  - http://203.159.5.9/ait-thesis/detail.php?q=B08884
ER  -