The formation of the identical slope surface and the method of construction are discussed. On the basement of building the parameter equation of variable-radius circle family envelope, the frequently used parameter eq...The formation of the identical slope surface and the method of construction are discussed. On the basement of building the parameter equation of variable-radius circle family envelope, the frequently used parameter equation of the identical slope surface of the top of taper moving along column helix, horizental arc and line is built. The equation can be used to construct the identical slope surface’s contours, gradient lines and three dimensional figures correctly.展开更多
Local scour, a non-negligible factor in hydraulic engineering, endangers the safety of hydraulic structures. In this work, a numerical model for simulating local scour was constructed, based on the open source code co...Local scour, a non-negligible factor in hydraulic engineering, endangers the safety of hydraulic structures. In this work, a numerical model for simulating local scour was constructed, based on the open source code computational fluid dynamics model Open FOAM. We consider both the bedload and suspended load sediment transport in the scour model and adopt the dynamic mesh method to simulate the evolution of the bed elevation. We use the finite area method to project data between the three-dimensional flow model and the two-dimensional(2D) scour model. We also improved the 2D sand slide method and added it to the scour model to correct the bed bathymetry when the bed slope angle exceeds the angle of repose. Moreover, to validate our scour model, we conducted and compared the results of three experiments with those of the developed model. The validation results show that our developed model can reliably simulate local scour.展开更多
in the design of civil and water conservancy projects, the identical slope suffice isfrequently used. Its mathematical model may be formulated as an envelope of a cone when itS vertexmoves along the cylindrical helix....in the design of civil and water conservancy projects, the identical slope suffice isfrequently used. Its mathematical model may be formulated as an envelope of a cone when itS vertexmoves along the cylindrical helix. According to the principle of conStrUcting the envelope curves of afamily of circles, the parametric equstion for the identical slope surface is established. The parametricform makes it most convenient to draw the contour lines and grade lines, and is well suited toproduce indexed projection of identical slope surface in civil and water conservancy projects.展开更多
文摘The formation of the identical slope surface and the method of construction are discussed. On the basement of building the parameter equation of variable-radius circle family envelope, the frequently used parameter equation of the identical slope surface of the top of taper moving along column helix, horizental arc and line is built. The equation can be used to construct the identical slope surface’s contours, gradient lines and three dimensional figures correctly.
基金the State Key Laboratory of Hydraulic Engineering Simulation and Safety Foundation (No. HESS-1412)the National Science Fund (No. 51179178)the 111 Project (No. B14028)
文摘Local scour, a non-negligible factor in hydraulic engineering, endangers the safety of hydraulic structures. In this work, a numerical model for simulating local scour was constructed, based on the open source code computational fluid dynamics model Open FOAM. We consider both the bedload and suspended load sediment transport in the scour model and adopt the dynamic mesh method to simulate the evolution of the bed elevation. We use the finite area method to project data between the three-dimensional flow model and the two-dimensional(2D) scour model. We also improved the 2D sand slide method and added it to the scour model to correct the bed bathymetry when the bed slope angle exceeds the angle of repose. Moreover, to validate our scour model, we conducted and compared the results of three experiments with those of the developed model. The validation results show that our developed model can reliably simulate local scour.
文摘in the design of civil and water conservancy projects, the identical slope suffice isfrequently used. Its mathematical model may be formulated as an envelope of a cone when itS vertexmoves along the cylindrical helix. According to the principle of conStrUcting the envelope curves of afamily of circles, the parametric equstion for the identical slope surface is established. The parametricform makes it most convenient to draw the contour lines and grade lines, and is well suited toproduce indexed projection of identical slope surface in civil and water conservancy projects.
