Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지
DOI QR코드

DOI QR Code

IMPROVEMENT OF FLOW SIMULATIONS METHOD WITH MULTI-RESOLUTION ANALYSIS BY BOUNDARY TREATMENT

경계면 처리 개선을 통한 다중해상도 유동해석 기법 개선 연구

  • Kang, H.M. (Dept. of Mechanical Engineering, Dongyang MIRAE Univ.)
  • Received : 2015.09.22
  • Accepted : 2015.11.17
  • Published : 2015.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

The computational efficiency of flow simulations with Multi-resolution analysis (MRA) was enhanced via the boundary treatment of the computational domain. In MRA, an adaptive dataset to a solution is constructed through data decomposition with interpolating polynomial and thresholding. During the decomposition process, the basis points of interpolation should exceed the boundary of the computational domain. In order to resolve this problem, the weight coefficients of interpolating polynomial were adjusted near the boundaries. By this boundary treatment, the computational efficiency of MRA was enhanced while the numerical accuracy of a solution was unchanged. This modified MRA was applied to two-dimensional steady Euler equations and the enhancement of computational efficiency and the maintenance of numerical accuracy were assessed.

Keywords

References

  1. 1994, Harten, A., "Adaptive multiresolution schemes for shock computation," Journal of Computational Physics, Vol.115, pp.319-338. https://doi.org/10.1006/jcph.1994.1199
  2. 1999, Holmstrom, M., "Solving hyperbolic PDEs using interpolation wavelets," SIAM journal on Scientific Computing, Vol.21, pp.405-420. https://doi.org/10.1137/S1064827597316278
  3. 1995, Sjogreen, B., "Numerical experiments with the multi-resolution scheme for the compressible Euler equations," Journal of Computational Physics, Vol.117, pp.251-261. https://doi.org/10.1006/jcph.1995.1063
  4. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improvement in computational efficiency of Euler equations via a modified Sparse Point Representation method," Compu. and Fluids, Vol.37, pp.265-280. https://doi.org/10.1016/j.compfluid.2007.05.003
  5. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improved computational efficiency of unsteady flow problems via the modified wavelet method," AIAA Journal, Vol.46, pp.1191-1203. https://doi.org/10.2514/1.34294
  6. 2014, Jo, D., Park, K., Kang, H. and Lee, D., "Implementation of adaptive wavelet method for enhancement of computational efficiency for three dimensional Euler equation," J. Comput. Fluids Eng., Vol.19, No.2, pp.58-65. https://doi.org/10.6112/kscfe.2014.19.2.058
  7. 1992, Donoho, D.L., "Interpolating wavelet transforms," Department of Statistics, Stanford University, Technical report 408.
  8. 2005, Kim, K. and Kim, C., "Accurate, efficient and mono-tonic numerical methods for multi-dimensional compressible flows Part I: Spatial discretization," J. Comput. Phys., Vol.208, pp.527-569. https://doi.org/10.1016/j.jcp.2005.02.021