Convergence Acceleration of Navier-Stokes Equation using Adaptive Wavelet Method
- Authors
- Ghafoor, Imran; Kim, Sangwoo; Sultan, Tipu; Lee, Dohyung
- Issue Date
- Dec-2008
- Publisher
- 한국유체기계학회
- Keywords
- Localized; Adaptive wavelet method; Convergence acceleration; Sparse point representation; Thresholding
- Citation
- 유체기계 연구개발 발표회 논문집, pp.264 - 269
- Indexed
- OTHER
- Journal Title
- 유체기계 연구개발 발표회 논문집
- Start Page
- 264
- End Page
- 269
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/41923
- Abstract
- The numerical solution of problems with localized structures or sharp transition on uniform grids is impractical, since high-resolution computations are required only in regions where sharp transitions occur. In order to solve these problems computationally in an efficient way, the computational grid should adapt dynamically in time to reflect local changes in the solution. An adaptive wavelet based method enable us an alternate solution to refine grid according to local demands of physical solution. In this study one of such efficient adaptive wavelet method is proposed for convergence acceleration of Navier-Stokes equation. The method is based on Sparse Point Representation which uses only those function values retained after thresholding. The flux evaluation is carried out only at points included in dataset, which results in reducing the necessary computational effort and memory requirements. The numerical results of the adaptive wavelet method are compared with the conventional solver to assess enhancement in computational efficiency.
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Collections - COLLEGE OF ENGINEERING SCIENCES > DEPARTMENT OF MECHANICAL ENGINEERING > 1. Journal Articles
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