Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
권호 표지

Application of Hermite-Collocation Method for Unsteady Flow Analysis

부정류 해석을 위한 Hermite-Collocation 기법의 적용

  • 한건연 (경북대학교 공과대학 토목공학과) ;
  • 이을래 (경북대학교 대학원 토목공학과) ;
  • 박재홍 (세명대학교 토목공학과)
  • Published : 1999.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

A finite element model is studied to simulate unsteady free surface flow based on dynamic wave equation and collocation method. The collocation method is used in conjunction with Hermite polynomials, and resulting matrix equations are solved by skyline method. The model is verified by applying to hydraulic jump, nonlinear disturbance propagation and dam-break flow in a horizontal frictionless channel. The computed results are compared with those by Bubnov-Galerkin and Petrov-Galerkin methods. It is also applied to the North Han River to simulate the floodwave propagation. The computed results have good agreements with those of DWOPER model in terms of discharge hydrographs. The suggested model has proven to be one of the promising scheme for simulating the gradually and rapidly varied unsteady flow in open channels.

자유수면 흐름의 모의를 위한 유한요소모형이 동수역학적 흐름방정식과 collocation 유한요소법에 의해 모의하였다. collocation 기법은 Hermite 다항식을 가진 접합점에서 적용이 되며, 메크릭스 방정식은 skyline 기법에 의해 해석하였다. 본 연구 모형은 마찰이 없는 수평수로에서의 정상도수, 비선형 표면전파 그리고 댐 파괴해석에 적용하였다. 계산결과 Bubnov-Galerkin 과 Petrov-Galerkin 기법과 비교하였다. 실제하천에 대한 적용성을 검토하기 위해서 북한강 유역에 적용하여 해석하였는데, 계산결과는 유량수문곡선에 있어서 기존의 DWOPER 모형의 결과와 일치하였다. Collocation 기법은 개수로 흐름에서의 점변 및 급변 부정류흐름을 모의하기 위해서 적절한 기법임을 확인할 수 있었다.

Keywords

References

  1. 수리학적 모형을 이용한 한강상류부하도의 홍수예측모형 개발 건설교통부 한강홍수통제소
  2. 한국수자원학회지 v.30 no.1 개수로내의 점변 및 급변 부정류에 대한 유한요소해석 : Ⅱ. 적응예 한건연;박재홍;이을래
  3. Hydraulics and hydrology in small computer age Hydrodynamic model for river flow in a microcomputer Adeff, S. E.;Wang, S. S. Y.
  4. J. of Hyd. Eng. v.121 no.2 Collocation finite element simulation of dam-break flows Alam, M. M.;Bhuiyan, M. A.
  5. J. of Hydrology v.104 A dissipative finite element model for free surface flow Anastasiadous-Partheniou, L.;Terzidis, G.
  6. J. of Hyd. Div. v.102 no.HY6 Finite element solution of Saint-Venant equations Cooley, R. L.;Moin, S. A.
  7. Selected Papers in the Hydrologic Sciences, USGS, Water-Supply Paper 2220 Extension of the unsteady one-dimensional open channel flow equations for flow simulation in meandering channel with floodplains DeLong, L. L.
  8. J. of Hyd. Res. v.25 no.1 Simulation of one-dimensional dam-break flows Fennema, R. J.;Chaudhry, M. H.
  9. National Weather Service Operation Dynamic Wave Model Fread, D. L.
  10. Proc. of 1990 Nat. Conf. on Hyd. Eng. Hermite-Galerkin model for dam-break floods Froehlich, D. C.
  11. J. of Hyd. Eng. v.118 no.2 Characteristic dissipative Galerkin scheme for open channel flow Hicks, F. E.;Steffler, P. M.
  12. Int. J. for Numerical Methods in Fluids v.20 Comparison of finite element method for the Saint Venant equations Hicks, F. E.;Steffler, P. M.
  13. J. of Hyd. Eng. v.110 no.4 A dissipative Galerkin scheme for open-channel flow Katopodes, N. D.
  14. Turbulence measurements and flow modeling Analysis of transient flow through broken levees Katopodes, N. D.;Chen, C. J.(ed.);Chen, L.D.(ed.);Holly, F.M., Jr.(ed.)
  15. Int. J. for Numerical Methods in Fluids v.2 Selective lumping finite element method for shallow water flow Kawahara, M.;Hirano, H.;Tsubota, K.;Iwagaki, K.
  16. J. of Hyd. Div. v.102 no.HY4 Application of finite element method to open channell flow Keuning, D. H.
  17. Research Report No. SR 61 Modeling of river and floodplain flow using the finite element method Samuels, P. G.
  18. J. of Hydrology v.122 Finite element method for the solution of the Saint Venant equations in an open channel network. Szymkiewicz, R.
  19. J. of Hydrology v.147 New approach to solution of the Saint Venant equations using the Galerkin procedure. Szymkiewicz, R.
  20. J. of Hydrology v.21 A finite element approach to watershed runoff Taylor, C.;Al-Mashidani, G.;Davis, J. M.