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RISS 인기검색어
- 검색키워드
- 저자 : Imran Ghafoor (검색결과 2 건)
- 무료
- 기관 내 무료
- 유료
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Convergence Acceleration of Navier-Stokes Equation using Adaptive Wavelet Method
Imran Ghafoor,Sangwoo Kim,Tipu Sultan,Dohyung Lee 한국유체기계학회 2008 유체기계 연구개발 발표회 논문집 Vol.2008 No.-
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 paints 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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Convergence acceleration of Navier-Stokes equation using adaptive wavelet method
강형민,Imran Ghafoor,이도형 대한기계학회 2010 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.24 No.2
An efficient adaptive wavelet method is proposed for the enhancement of computational efficiency of the Navier-Stokes equations. The method is based on sparse point representation (SPR), which uses the wavelet decomposition and thresholding to obtain a sparsely distributed dataset. The threshold mechanism is modified in order to maintain the spatial accuracy of a conventional Navier-Stokes solver by adapting the threshold value to the order of spatial truncation error. The computational grid can be dynamically adapted to a transient solution to reflect local changes in the solution. The flux evaluation is then carried out only at the points of the adapted dataset, which reduces the computational effort and memory requirements. A stabilization technique is also implemented to avoid the additional numerical errors introduced by the threshold procedure. The numerical results of the adaptive wavelet method are compared with a conventional solver to validate the enhancement in computational efficiency of Navier-Stokes equations without the degeneration of the numerical accuracy of a conventional solver.
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