10530 200609020821 SIMPLE SIMPLE Study of basic ?ow characteristics of three-dimensional pipeline with sudden expansion using SIMPLE method Candidate Jian Zhang Supervisor Prof. Mingjun Li College Mathematics putational Science Program Computational Mathematics Specialization Theory and Application of Numerical Methods for Sti? Di?erential Equations Degree Master of Science University Xiangtan University Date April 10th, 2009 , SIMPLE ( Re ) ( ) SIMPLE : SIMPLE I Abstract In hydrodynamic ?eld, channel ?ow with sudden expansion monly encountered in science research and engineering applications, it is very important to analysis the behavior of channel ?ow. There was plete speci?c numerical test for the de?ection of three-dimensional branching channel with sudden expan- sion,though the experiment with relatively perfect conclusion has been presented this dissertation, the SIMPLE method was used to calculate the - pressible ?ow of three-dimensional branching channel; Numerically, the relation- ship between de?ection and Reynolds number was analyzed; and the relationship between the distance of the two outlet pipes and de?ection was result has a good agreement with experiment paringwith the numerical calculations of two-dimensional channel with sudden expansion,three-dimensional numerical analog is more representative and we expand the treat- ment methods for boundary conditions to three-dimensionalcase so the applica- bility of SIMPLE method es more extensive;The theory of the de?ection theory will be widely used at hydraulic engineering, biomedicine and mechanical engineering. Keywords: SIMPLE methods;De?ection rate; Three-dimensional branching channel with sudden expansion;Reynolds number. II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
