为探究溢洪道连续弯段水流特性及糙条消能工水力学特性,通过开展27组正交模型试验,结合消能率和超高变异系数筛选最优工况,采用RNG k-ε紊流模型与体积分数法(volume of fluid,VOF)对布设糙条和不布设糙条的溢洪道进行水流特性数值模拟...为探究溢洪道连续弯段水流特性及糙条消能工水力学特性,通过开展27组正交模型试验,结合消能率和超高变异系数筛选最优工况,采用RNG k-ε紊流模型与体积分数法(volume of fluid,VOF)对布设糙条和不布设糙条的溢洪道进行水流特性数值模拟对比研究。结果表明:糙条的布设使溢洪道沿程水深增加且变化剧烈;糙条能够抑制菱形波和折冲水流的产生,通过改善两弯段流态使水面均匀性提升38.0%和44.7%;布设糙条后,两弯段纵向流速均值被降低了45.16%和44.83%,各断面凹岸纵向流速的最大值沿水深下移;糙条的存在加剧了水流紊动,使两弯段纵向紊动强度均值增加了117.98%和71.05%,纵向紊动强度集中在凹岸衰减、凸岸增强,且各断面凹岸的最大值沿水深上移;糙条增大了床面动水压力,减小了两岸压力差,对压力分布形式有显著改善效果,有助于保护底板和边壁不易被冲蚀。研究成果可为溢洪道连续弯段设计及安全运行提供参考。展开更多
The results of accurate order of uniform approximation and simultaneous approximation in the early work ＂Jackson Type Theorems on Complex Curves＂ are improved from Fejer points to disturbed Fejer points in this arti...The results of accurate order of uniform approximation and simultaneous approximation in the early work ＂Jackson Type Theorems on Complex Curves＂ are improved from Fejer points to disturbed Fejer points in this article. Furthermore, the stability of convergence of Tn,∈（f,z） with disturbed sample values f（z^＊） ＋ Sk are also proved in this article.展开更多
In view of the anisotropy,heterogeneity and stress-sensitive permeability in low permeability reservoirs,an analytical well test model was established by introducing the concept of permeability modulus.This model cons...In view of the anisotropy,heterogeneity and stress-sensitive permeability in low permeability reservoirs,an analytical well test model was established by introducing the concept of permeability modulus.This model considered the permeability stress-sensitivity,wellbore storage effect,and the skin effect.The perturbation technique and Laplace transformation were used to solve the mathematical model analytically in Laplace space,and the bottom-hole pressure type curves were plotted and analyzed in real space by using the Stehfest numerical inversion.展开更多
itherto, a precision Concept for curve fitting problems has not been set. By using the theory of functional analysis, the author of this paper established a space theory basis for curve fitting problems. Also given in...itherto, a precision Concept for curve fitting problems has not been set. By using the theory of functional analysis, the author of this paper established a space theory basis for curve fitting problems. Also given in the paper is the precision concept of the curve fitting problems and the method for constructing the fitting of a curve satisfying given precision requirements.展开更多
A new approach for NURBS(Non-uniform rational B-spline) curve and surface fitting for measured points was presented which employs a fairing method applied to digitized point data with discrete curvature. If measured p...A new approach for NURBS(Non-uniform rational B-spline) curve and surface fitting for measured points was presented which employs a fairing method applied to digitized point data with discrete curvature. If measured points are used as control points to construct an NURBS curve, then the curvature of each data point corresponding to control point of the constructed curve can be computed. According to the convex hull and local properties of NURBS, based on the curvatures obtained, the measured points can be faired. If faired measured points are used as target points to modify, the constructed curve passing through these faired points can produce a smooth NURBS curve. This paper also presented the justification for utilizing the curvatures of constructed NURBS curve instead of the conventional interpolated curve to fair the measured points. Based on the presented algorithms, some qualities of the constructed curves can be improved.展开更多
Interpolatory subdivision algorithms for the generation of curves and surfaces play a veryimportant rule in shape design and modelling in CAD/CAM systems. In this paper, by using the dif-ference and divided difference...Interpolatory subdivision algorithms for the generation of curves and surfaces play a veryimportant rule in shape design and modelling in CAD/CAM systems. In this paper, by using the dif-ference and divided difference analysis, a systematic method to construct Cn (n≥ 0) interpolatorycurves by subdivision from given data is described and the mask (filter) of the algorithm is presentedexplicitly. This algorithm generates a Cn smooth curve which interpolates the initial control points.Control parameters are also provided so that the shape of the final curve can be adjusted according torequirements. An immediate generalisation of the method is the construction of smooth interpolatorysubdivision algorithms over uniform triangular networks (tensor product type data) in Rm. The mainresults of this algorithm for smooth interpolatory surface subdivision algorrthm are also included.AMS(MOS) : 65D05 , 65D15 , 65D17.展开更多
文摘为探究溢洪道连续弯段水流特性及糙条消能工水力学特性,通过开展27组正交模型试验,结合消能率和超高变异系数筛选最优工况,采用RNG k-ε紊流模型与体积分数法(volume of fluid,VOF)对布设糙条和不布设糙条的溢洪道进行水流特性数值模拟对比研究。结果表明:糙条的布设使溢洪道沿程水深增加且变化剧烈;糙条能够抑制菱形波和折冲水流的产生,通过改善两弯段流态使水面均匀性提升38.0%和44.7%;布设糙条后,两弯段纵向流速均值被降低了45.16%和44.83%,各断面凹岸纵向流速的最大值沿水深下移;糙条的存在加剧了水流紊动,使两弯段纵向紊动强度均值增加了117.98%和71.05%,纵向紊动强度集中在凹岸衰减、凸岸增强,且各断面凹岸的最大值沿水深上移;糙条增大了床面动水压力,减小了两岸压力差,对压力分布形式有显著改善效果,有助于保护底板和边壁不易被冲蚀。研究成果可为溢洪道连续弯段设计及安全运行提供参考。
基金Supported by NSF of Henan Province of China(20001110001)
文摘The results of accurate order of uniform approximation and simultaneous approximation in the early work ＂Jackson Type Theorems on Complex Curves＂ are improved from Fejer points to disturbed Fejer points in this article. Furthermore, the stability of convergence of Tn,∈（f,z） with disturbed sample values f（z^＊） ＋ Sk are also proved in this article.
基金support from the National 973 Program (Grant No. 2006CB705808)PetroChina Young and Middle Aged People Innovation Fund (Grant No. 07E1016)+1 种基金PetroChina Science & Technology Innovation Fund (Grant No. 2008D-5006-02-09)Science & Technology Innovation Fund of Southwest Petroleum University (Grant No. 2007XJZ010)
文摘In view of the anisotropy,heterogeneity and stress-sensitive permeability in low permeability reservoirs,an analytical well test model was established by introducing the concept of permeability modulus.This model considered the permeability stress-sensitivity,wellbore storage effect,and the skin effect.The perturbation technique and Laplace transformation were used to solve the mathematical model analytically in Laplace space,and the bottom-hole pressure type curves were plotted and analyzed in real space by using the Stehfest numerical inversion.
文摘itherto, a precision Concept for curve fitting problems has not been set. By using the theory of functional analysis, the author of this paper established a space theory basis for curve fitting problems. Also given in the paper is the precision concept of the curve fitting problems and the method for constructing the fitting of a curve satisfying given precision requirements.
基金The Rising Star Project of Shanghai (No.06QA14026) The International Coopera-tion Project of Shanghai (No.41107049)
文摘A new approach for NURBS(Non-uniform rational B-spline) curve and surface fitting for measured points was presented which employs a fairing method applied to digitized point data with discrete curvature. If measured points are used as control points to construct an NURBS curve, then the curvature of each data point corresponding to control point of the constructed curve can be computed. According to the convex hull and local properties of NURBS, based on the curvatures obtained, the measured points can be faired. If faired measured points are used as target points to modify, the constructed curve passing through these faired points can produce a smooth NURBS curve. This paper also presented the justification for utilizing the curvatures of constructed NURBS curve instead of the conventional interpolated curve to fair the measured points. Based on the presented algorithms, some qualities of the constructed curves can be improved.
文摘Interpolatory subdivision algorithms for the generation of curves and surfaces play a veryimportant rule in shape design and modelling in CAD/CAM systems. In this paper, by using the dif-ference and divided difference analysis, a systematic method to construct Cn (n≥ 0) interpolatorycurves by subdivision from given data is described and the mask (filter) of the algorithm is presentedexplicitly. This algorithm generates a Cn smooth curve which interpolates the initial control points.Control parameters are also provided so that the shape of the final curve can be adjusted according torequirements. An immediate generalisation of the method is the construction of smooth interpolatorysubdivision algorithms over uniform triangular networks (tensor product type data) in Rm. The mainresults of this algorithm for smooth interpolatory surface subdivision algorrthm are also included.AMS(MOS) : 65D05 , 65D15 , 65D17.
