2차 요소를 이용한 2차원 상향가중 유한요소모형 = 2-D SU/PG Finite Element Model Using Quadratic Elements

국문 초록 (Abstract)

본 연구의 목적은 하도의 형상이 불규칙한 자연하천에서 2차원 흐름 특성을 해석하고 예측하기 위해 2차 요소를 이용한 정확하고 효과적인 상향가중 유한요소모형의 개발에 있다. 모형의 개발을 위해 선형 삼각형 요소, 선형 사각형 요소와 혼합요소를 적용하였고 2차 삼각형, 사각형 요소와 혼합요소를 적용하여 모형을 개발하였으며, 지배방정식의 수치적분식으로 Gauss Quadrature 방법을 사용하였다. 개발된 모형의 적용성 검증을 위해 하상융기가 있는 수로

다국어 초록 (Multilingual Abstract)

The objective of this study is to develop an efficient and accurate quadratic finite element model based on Streamline Upwind/Petrov Galerkin (SU/PG) scheme for analyzing and predicting two dimensional flow features in complex natural rivers. For a develo

참고문헌 (Reference)

1 백창현, "하천흐름해석을 위한 3차원 상향가중 유한요소모형의 개발" 경북대학교 2006

2 윤태훈, "유한요소법에 의한 항만에서의 토사이동 추정모형" 2 (2): 847-857, 1982

3 한건연, "개수로내의 점변 및 급변 부정류에 대한 유한요소해석: I. 이론 및 수치안정성 해석" 29 (29): 167-178, 1996

4 Zienkiewicz, O.C., "The characteristic based split procedure: An efficient and accurate algorithm for fluid problems" 31 : 359-392, 1999

5 Weiyan, T., "Shallow water hydrodynamics" Elsevier Oceanography Series 1-37, 1992

6 한건연, "SU/PG 기법에 의한 하천흐름의 유한요소해석-Ⅱ. 적용-" 대한토목학회 24 (24): 193-199, 2004

7 Lee, J.K., "Review of Literature on the Finite Element Solution of the Equations of Two-Dimensional Flow in the Horizontal Plane" U. S. Geological Survey Circular 1009 1-65, 1986

8 King, I.P., "Recent application of RMA's finite element models for two-dimensional hydrodynamics and water quality" Finite Element in Water Resources, Pentech Press 81-99, 1978

9 Daubert, A., "Quelques aspects des ecoulements presque horizontaux a deux dimensions en plan non permants application aux estuaires" (8) : 847-860, 1967

10 Van Rijn, L.C., "Principles of fluid flow and surface waves in rivers, estuaries, seas, and oceans" Aqua Publications 5-35, 1990

11 한건연, "Petrov-Galerkin 기법에 의한 하천에서의 이송-확산 해석" 20 (20): 45-53, 2000

12 Walters R.A., "Numerically induced oscillations in finite element approximations to shallow water equations" 3 : 591-604, 1983

13 Goutal, N., "High resolution schemes for hyperbolic conservation laws" 49 (49): 357-393, 1997

14 Dupont, T., "Galerkin methods for first-order hyperbolics : An example" 10 : 890-899, 1973

15 윤용남, "FESWMS-2DH에 의한 한강 하류부의 수리특성 분석" 14 (14): 847-857, 1994

16 Bell, S.W., "Experimental results of two-dimensional dam-break flows" 30 (30): 225-252, 1992

17 Gee, D.M., "Evaluation and Application of the Generalized Finite Element Hydrodynamics Model, RMA-2" Two-Dimensional Modeling, Hydrologic Engineering Center 97-113, 1981

18 Norton, W.R., "EBMUD Hydrodynamic and Water Quality Models for San Francisco Bay" Resources Management Associates 1-260, 1980

19 Gray, W.G., "Do Finite Element Models Simulate Surface Flow?" Finite Elements in Water Resources III, Univ. of Mississippi Press 122-136, 1980

20 Berger, R.C., "Discrete Fluxes and Mass Balances in Finite Elements" 128 : 92-97, 2005

21 Alam, M.M., "Collocation finite element simulation of dam-break flows" 121 (121): 118-128, 1995

22 Hicks, F.E., "Characteristic dissipative Galerkin scheme for open channel flow" 118 (118): 337-352, 1992

23 Allaire, P.E., "Basis of the finite element method" University of Virginia 1985

24 Zienkiewicz, O.C., "A general algorithm for compressible and incompressible flow-Part I. The split, characteristic based scheme" 20 : 869-885, 1996

25 Katopodes, N.D., "A dissipative Galerkin scheme for open-channel flow" 110 (110): 450-466, 1984

26 Walters, R.A., "A Two-Dimensional Hydrodynamic Model of a Tidal Estuary" Finite Elements in Water Resources 3-21, 1978

27 Stockstill, R.L., "A Two- Dimensional Flow Model for High-Velocity Channels" 1-11, 1994

28 Berger, R.C., "A Finite Element Scheme Shock Capturing" 1-8, 1993