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The technique of curvilinear boundary-fitted coordinate system is used for the mathematical model of pressure underground seepage flow and the boundary conditions and the method of solving the transformed equations have been presented. The computing example shows that the computed hydraulic parameters conform to the physical laws. Compared with the finite element method, the presented method need...
The formula of discharge varying with normal water depth in cubic parabola shape open channel uniform flow and the conditions satisfied by the optimal hydraulic cross section in the cubic parabola shape channel were deduced, according to the theory of open channel uniform flow. Compared with other types of open channel cross section, the cubic parabola shape open channel is one of the open channels...
Large eddy simulation cooperated with a physical fractional-step method was applied to simulate steady flows near a groin in a straight open channel. Comparisons with experimental and other model results indicate that the present model is capable of simulating turbulent flow in an open channel. The simulated results by the proposed model agree well with the experimental data. The research shows that...
The technique of curvilinear boundary-fitted coordinate system is used for the mathematical model of pressure underground seepage flow and the boundary conditions and the method of solving the transformed equations have been presented. The computing example shows that the computed hydraulic parameters conform to the physical laws. Compared with the finite element method, the presented method need...
This paper presents a numerical method to simulate the 2D tidal flow and water quality under 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 is used, the irregular domain in physical plane...
In this paper, a new method to determine the source terms (P and Q) of Poisson equations for grid generation is presented with which the resulting interior grid point distribution is controlled entirely by a priori selection of the grid point distribution along the boundaries of the region, and in particular, the transverse lines may be constrained to be orthogonal to the boundary. For a simply connected...
This paper is concerned with a mathematical model for numerical simulation of 2D flood waves due to complete or partial dam-break. The governing water equations are solved by a implicit bidiagonal numerical scheme, based on the MacCormack's predictor-corrector technique. The mathematical model is used to numerically compute the water surface from supercritical flow to sub critical one or from sub...
This This paper is concerned with the numerical solution of two-dimensional flows. The technique of boundary-fitted coordinate system is used to overcome the difficulties resulting from the complicated shape of natural river boundaries, the method of physical fractional steps is used to solve the partial differential equations in the transformed plane, and the technique of moving boundary is used...
In this paper, a numerical two-phase flow model combining with the Realizable k-ε turbulent model for compressible viscous fluid is presented for the simulation the flow around a fixed-cone valve; and the equations are solved with the finite volume method. The free fluid surface is simulated by the VOF method. The function of the fixed-cone valve for energy dissipating is pointed out by analyzing...
By using a multi-connected domain body-fitted curvilinear coordinate system, a B-type staggered grid and a technique of moving boundary, a 2D multi-connected domain flow mathematical model is developed to simulate the flow characteristics in complex boundary rivers. The physical domain is mapped into a uniform transformed space. The governing equations are firstly transformed from Cartesian coordinates...
This paper is concerned with a new numerical method of two-dimensional flow. The governing system of differential equations is transformed into an equivalent system applied over a square-grid network in order to overcome the difficulties and inaccuracies associated with the determination of characteristics near the flow boundaries. The MacCormack two-step explicit scheme with second-order accuracy...
This paper presents a numerical method to simulate the 2D tidal flow and water quality under 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 is used, the irregular domain in physical plane...
This paper is concerned with a mathematical model for numerical simulation of 2D flood waves due to complete or partial dam-break. The governing water equations are solved by the MacCormack's predictor-corrector technique. The mathematical model is used to numerically predict 2D flood waves due to partial instantaneous dam-break in a rectangular open channel with a rectangular cylinder barrier downstream,...
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