KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
권호 표지

A Two-dimensional Sediment Transport Model by the Coordinate Transformation(I) - Model Development -

좌표변환에 의한 이차원 유사이동모형(I) - 모형의 개발 -

Lee, Nam-Joo;Lee, Kil-Seong
이남주;이길성

  • Published : 19980931

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Abstract

Development of a sediment transport model that is applicable to the prediction of the bed level change in rivers, reservoirs, estuaries, and coastal regions becomes an important problem in the safety of the hydraulic structures and in the water qualify management. Depth-averaged two-dimensional continuity and momentum equations from the three-dimensional Reynolds equations are used. Depth-averaged two-dimensional advection-diffusion equation from the three-dimensional one is used A depth-averaged ${\overline{{\kappa}}}-{\overline{{\varepsilon}}}$ turbulence model is added to increase reliability of the eddy viscosity. A flow model, a transport model, a bed change model, a turbulence model, and sediment transport formulas for cohesive and noncohesive sediments are to yield a sediment transport model in the Cartesian coordinate system. To treat irregular boundary, the model uses the orthogonal curvilinear coordinate system. Numerical grids are generated by means of the Poisson equations. This model is a coordinate-transformed sediment transport model that is applicable to cohesive and noncohesive sediments in an unsteady horizontally two-dimensional flow.

하천, 저수지, 하구, 해안 등에서 유사이동현상을 예측할 수 있는 수치모형의 개발이 수공구조물의 안전 및 수질관리 차원에서 중요한 문제로 부각되고 있다. 3차원 Reynolds 방정식으로부터 수심적분된 2차원 연속방정식과 운동량방정식을 사용하였다. 수심적분된 2차원 이송확산방정식을 3차원 방정식으로부터 유도하였다. 난류확산계수 산정의 신뢰성 향상을 위해 수심적분 ${\overline{{\kappa}}}-{\overline{{\varepsilon}}}$ 난류모형을 도입하였다. 흐름모형, 수송모형, 바닥변형모형, 난류모형, 점착성 및 비점착성 유사량공식을 결합하여 직교좌표계에 대한 유사이동모형을 구성하였다. 불규칙한 경계를 현실적으로 모사 할 수 있도록 지배방정식을 직교곡선 좌표계로 좌표변환하였다. Poisson 방정식을 사용하여 직교 곡선격자를 생성하였다. 본 연구에서는 점착성 및 비점착성 유사이동을 모의할 수 있는 좌표변환 된 평면 2차원 비정상 유사이동 수치모형을 개발하였다.

Keywords

References

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