Convergence acceleration of Navier-Stokes equation using adaptive wavelet method
- Authors
- Kang, Hyungmin; Ghafoor, Imran; Lee, Dohyung
- Issue Date
- Feb-2010
- Publisher
- 대한기계학회
- Keywords
- Navier-Stokes equations; Adaptive wavelet method; Convergence acceleration; Sparse point representation
- Citation
- Journal of Mechanical Science and Technology, v.24, no.2, pp 619 - 627
- Pages
- 9
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- Journal of Mechanical Science and Technology
- Volume
- 24
- Number
- 2
- Start Page
- 619
- End Page
- 627
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/40014
- DOI
- 10.1007/s12206-010-0107-z
- ISSN
- 1738-494X
1976-3824
- Abstract
- 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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