教師資料查詢 | 類別: 期刊論文 | 教師: 李世鳴 LEE SHI-MIN (瀏覽個人網頁)

標題:A segregated solution algorithm for incompressible flows in general co-ordinates
學年84
學期2
出版(發表)日期1996/03/01
作品名稱A segregated solution algorithm for incompressible flows in general co-ordinates
作品名稱(其他語言)
著者Sheu, Tony W. H.; Lee, Shi-Min;
單位淡江大學航空太空工程學系
出版者Chichester: John Wiley & Sons Ltd.
著錄名稱、卷期、頁數International Journal for Numerical Methods in Fluids 22(6), pp.515-548
摘要To analyse an incompressible Navier–Stokes flow problem in a boundary- fitted curvilinear co-ordinate system is definitely not a trivial task. In the primitive variable formulation, choices between working variables and their storage points have to be made judiciously. The present work engages contravariant velocity components and scalar pressure which stagger each other in the mesh to prevent even–odd pressure oscillations from emerging. Now that smoothness of the pressure field is attainable, the remaining task is to ensure a discrete divergence-free velocity field for an incompressible flow simulation. Aside from the flux discretizations, the indispensable metric tensors, Jacobian and Christoffel symbols in the transformed equations should be approximated with care. The guiding idea is to get the property of geometric identity pertaining to these grid-sensitive discretizations. In addition, how to maintain the revertible one-to-one equivalence at the discrete level between primitive and contravariant velocities is another theme in the present staggered formulation. A semi-implicit segregated solution algorithm felicitous for a large-scale flow simulation was utilized to solve the entire set of basic equations iteratively. Also of note is that the present segregated solution algorithm has the virtue of requiring no user-specified relaxation parameters for speeding up the satisfaction of incompressibility in an optimal sense. Three benchmark problems, including an analytic problem, were investigated to justify the capability of the present formulation in handling problems with complex geometry. The test cases considered and the results obtained herein make a useful contribution in solving problems subsuming cells with arbitrary shapes in a boundary-fitted grid system.
關鍵字Incompressible Flow; Navier-Stokes Equations; Pressure Fields
語言英文
ISSN0271-2091
期刊性質國外
收錄於SCI;EI
產學合作
通訊作者
審稿制度
國別英國
公開徵稿
出版型式紙本
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