MATHEMATICAL MODEL FOR 2-D TIDAL FLOW AND WATER QUALITY WITH ORTHOGONAL CURVILINEAR COORDINATES

来源 :Journal of Hydrodynamics(Ser.B) | 被引量 : 0次 | 上传用户:lovepengchen
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This paper presents a numerical method for simulating the 2 D tidal flow and water quality with the orthogonal curvilinear coordinates. In order to overcome the computational difficulties in natural rivers, such as the complicated boundary figures, the great disparity between length and width of computational domain, etc., orthogonal boundary fitted grid was used. The irregular domain in physical plane was transformed into a rectangular domain in a transformed plane, and the depth averaged momentum equations and mass equation were given and discretized based on the alternating direction implicit finite difference scheme in curvilinear coordinates. The application of the presented method was illustrated by an example of analyzing the Yangtze River in the vicinity of Nanjing city. A fair agreement between the measured data and computed results demonstrates the validity of the developed method. This paper presents a numerical method for simulating the 2 D tidal flow and water quality with the orthogonal curvilinear coordinates. In order to overcome the computational difficulties in natural rivers, such as the complicated boundary figures, the great disparity between length and width of computational domains , etc., orthogonal boundary fitted grid was used. The irregular domain in physical plane was transformed into a rectangular domain in a transformed plane, and the depth averaged momentum equations and mass equation were given and discretized based on the alternating direction implicit finite difference scheme in curvilinear coordinates. The application of the presented method was illustrated by an example of analyzing the Yangtze River in the vicinity of Nanjing city. A fair agreement between the measured data and computed results demonstrates the validity of the developed method.
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