Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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STUDY ON HIGH RESOLUTION SCHEMES SUITABLE FOR AN 3-D CFD CODE(POWERCFD) USING UNSTRUCTURED CELL-CENTERED METHOD AND INTERFACE CAPTURING METHOD

비정렬 셀 중심방법 및 경계면포착법을 사용하는 3차원 유동해석코드(PowerCFD)에 적합한 HR 해법에 관한 연구

  • 명현국 (국민대학교 기계자동차공학부) ;
  • 김종은 (국민대학교 일반대학원 기계공학과)
  • Published : 2008.03.31
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Abstract

Several high resolution schemes such as OSHER, MUSCL, SMART, GAMMA, WACEB and CUBISTA are comparatively studied with respect to the accurate capturing of fluid interfaces throughout the application to two typical test cases of a translation test and a collapsing water column problem with a return wave. It is accomplished by implementing the high resolution schemes in the in-house CFD code(PowerCFD) for computing 3-D flow with an unstructured cell-centered method and an interface capturing method, which is based on the finite-volume technique and fully conservative. The calculated results show that SMART scheme gives the best performance with respect to accuracy and robustness.

Keywords

References

  1. 2003, Darwish, M. and Moukalled, F., "The -Schemes: A New Consistent High-Resolution Formulation Based on the Normalized Variable Methodology," Comput. Methods Appl. Mech. Engrg., Vol.192, pp.1711-1730 https://doi.org/10.1016/S0045-7825(03)00199-3
  2. 2000, Song, B. et al., "On a Higher-Order Bounded Discretization Scheme," Int. J. Num. Meth. Fluids, Vol.32, pp.881-897 https://doi.org/10.1002/(SICI)1097-0363(20000415)32:7<881::AID-FLD2>3.0.CO;2-6
  3. 2003, Alves, M.A. et al., "A Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection," Int. J. Num. Meth. Fluids, Vol.41, pp.47-75 https://doi.org/10.1002/fld.428
  4. 1979, Zalesak, S., "Fully Multidimensional Flux Corrected Transport Algorithms for Fluids," J. Comp. Phys., Vol.31, pp.335-362 https://doi.org/10.1016/0021-9991(79)90051-2
  5. 1976, Boris, J.P. and Book, D.L., "Flux Corrected Transport III, Minimal Error FCT Algorithms," J. Comp. Phys., Vol.20, pp.397-431 https://doi.org/10.1016/0021-9991(76)90091-7
  6. 1983, Harten, A., "High Resolution Schemes for Hyperbolic Conservation Laws," J. Comp. Phys., Vol.49, pp.357-393 https://doi.org/10.1016/0021-9991(83)90136-5
  7. 1984, Sweby, P.K., "High Resolution Schemes Using Flux-Limiters for Hyperbolic Conservation Laws," SIAM J. Num. Anal., Vol.21, pp.995-1011 https://doi.org/10.1137/0721062
  8. 1988, Gaskell, P.H. and Lau, A.K.C., "Curvature Compensated Convective Transport: SMART, a New Boundedness Preserving Transport Algorithm," Int. J. Num. Meth. Fluids, Vol.8, pp.671-641 https://doi.org/10.1002/fld.1650080605
  9. 1991, Leonard, B.P., "The ULTIMATE Conservative Difference Scheme Applied to Unsteady One-Dimensional Advection," Comput. Meth. Appl. Mech. Engrg., Vol.88, pp.17-74 https://doi.org/10.1016/0045-7825(91)90232-U
  10. 1997, Ubbink, O., "Numerical Prediction of Two Fluid Systems with Sharp Interface," PhD Thesis, University of London
  11. 2006, Myong, H. K. and Kim, J. E., "A Study on an Interface Capturing Method Applicable to Unstructured Meshes for the Analysis of Free Surface Flow" KSCFE J. of Computational Fluids Engineering, Vol.11-4, pp.14-19
  12. 2005, Myong, H.K. and Kim, J.T., "Development of 3D Flow Analysis Code using Unstructured Grid System(1st Report, Numerical Method)," Trans. of the KSME(B), Vol.29, pp.1049-1056
  13. 2005, Rudman, M., 1997, "Volume-Tracking Methods for Interfacial Flow Calculations," Int. J. Num. Meth. Fluids, Vol.24, pp.671-691
  14. 1995, Koshizuka, S. et al., "A Particle Method for Incompressible Viscous Flow with Fluid Fragmentation," Comput. fluid Dynamics J., Vol.4, pp.29-46