ENO interpolation 기반 분해과정을 활용한 다중해상도 유동해석 기법 연구

초록

The improvement of decomposition process using Essentially Non-oscillation Decomposition (ENO) type subdivision scheme on multi-resolution analysis (MRA) based on wavelets basis is studied. The decomposition ability of conventional MRA has a numerical limitation in a flow that involves a shock. ENO interpolation is proposed to improve both decomposition ability and compression rate. The order of subdivision scheme in decomposition process is conserved by changing stencils in the same order. The proposed algorithm is applied to computational flow field around two-dimensional NACA0012 airfoil in subsonic, transonic and supersonic flow regime. Although all cases are improved in terms of compression rate, especially transonic and supersonic cases yield better result than subsonic case. Between transonic and supersonic cases, effects of ENO interpolation are appeared stronger in supersonic case due to the strength of shock. Therefore, it is confirmed that the MRA with ENO-based decomposition could improve the compression rate on flow which is involved a discontinuity.

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