The quantitative rules of the transfer and variation of errors,when the Gaussian integral functions F.(z) are evaluated sequentially by recurring,have been expounded.The traditional viewpoint to negate the applicabili...The quantitative rules of the transfer and variation of errors,when the Gaussian integral functions F.(z) are evaluated sequentially by recurring,have been expounded.The traditional viewpoint to negate the applicability and reliability of upward recursive formula in principle is amended.An optimal scheme of upward-and downward-joint recursions has been developed for the sequential F(z) computations.No additional accuracy is needed with the fundamental term of recursion because the absolute error of Fn(z) always decreases with the recursive approach.The scheme can be employed in modifying any of existent subprograms for Fn<z> computations.In the case of p-d-f-and g-type Gaussians,combining this method with Schaad's formulas can reduce,at least,the additive operations by a factor 40%;the multiplicative and exponential operations by a factor 60%.展开更多
Three dimensional Euler equations are solved in the finite volume form with van Leer's flux vector splitting technique. Block matrix is inverted by Gauss-Seidel iteration in two dimensional plane while strongly im...Three dimensional Euler equations are solved in the finite volume form with van Leer's flux vector splitting technique. Block matrix is inverted by Gauss-Seidel iteration in two dimensional plane while strongly implicit alternating sweeping is implemented in the direction of the third dimension. Very rapid convergence rate is obtained with CFL number reaching the order of 100. The memory resources can be greatly saved too. It is verified that the reflection boundary condition can not be used with flux vector splitting since it will produce too large numerical dissipation. The computed flow fields agree well with experimental results. Only one or two grid points are there within the shock transition zone.展开更多
Objective To identify and reduce the gap between China’s drug GMP inspection and pharmaceutical inspection co-operation scheme(PIC/S)audit checklist,find out the key improvement items,and revise them pertinently,whic...Objective To identify and reduce the gap between China’s drug GMP inspection and pharmaceutical inspection co-operation scheme(PIC/S)audit checklist,find out the key improvement items,and revise them pertinently,which will promote the process of China joining PIC/S.Methods The general situation of PIC/S organization and audit checklist were introduced first,and then the accession of several countries that joined the organization was analyzed.Meanwhile,the process of China’s participation in PIC/S was sorted out.After referring to the contents of PIC/S audit checklist,the problems of GMP inspection system in China were studied.Results and Conclusion There are still many problems in GMP inspection in China.Some suggestions are put forward for improvement and change,which can provide reference for the development of drug inspection agencies at all levels in China.展开更多
A deep foundation pit constructed for an underground transportation hub was excavated near the Yangtze River. Among the strata, there are two confined aquifers, between which lies an aquiclude that is partially missin...A deep foundation pit constructed for an underground transportation hub was excavated near the Yangtze River. Among the strata, there are two confined aquifers, between which lies an aquiclude that is partially missing. To guarantee the safety of pit excavation, the piezometric head of the upper confined aquifer, where the pit bottom is located, should be 1 m below the pit bottom, while that of the lower confined aquifer should be dewatered down to a safe water level to avoid uplift problem. The Yangtze River levee is notably close to the pit, and its deformation caused by dewatering should be controlled. A pumping test was performed to obtain the hydraulic conductivity of the upper confined aquifer. The average value of the hydraulic conductivity obtained from analytical calculation is 20.45 m/d, which is larger than the values from numerical simulation（horizontal hydraulic conductivity K_H = 16 m/d and vertical hydraulic conductivity K_V = S m/d）. The difference between K_H and K_V indicates the anisotropy of the aquifer. Two dewatering schemes were designed for the construction and simulated by the numerical models for comparison purposes. The results show that though the first scheme could meet the dewatering requirements, the largest accumulated settlement and differential settlement would be94.64 mm and 3.3‰, respectively, greatly exceeding the limited values. Meanwhile, the second scheme,in which the bottoms of the waterproof curtains in ramp B and the river side of ramp A are installed at a deeper elevation of-28 m above sea level, and 27 recharge wells are set along the levee, can control the deformation of the levee significantly.展开更多
The retrospective numerical scheme(RNS)is a numerical computation scheme de- signed for multiple past value problems of the initial value in mathematics and considering the self- memory property of the system in physi...The retrospective numerical scheme(RNS)is a numerical computation scheme de- signed for multiple past value problems of the initial value in mathematics and considering the self- memory property of the system in physics.This paper briefly presents the historical background of RNS,elaborates the relation of the scheme with other difference schemes and other meteorological prediction methods,and introduces the application of RNS to the regional climatic self-memory model, simplified climate model,barotropic model,spectral model,and mesoscale model.At last,the paper sums up and points out the application perspective of the scheme and the direction for the future study.展开更多
Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (locally Maximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations s...Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (locally Maximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations show that the scheme has high resolution and non-oscillatory properties. The results are completely in accordance with the theoretical solutions and all cases are distinguished efficiently展开更多
The collocation method is a widely used numerical method for science and engineering problems governed by partial differential equations.This paper provides a comprehensive review of collocation methods and their appl...The collocation method is a widely used numerical method for science and engineering problems governed by partial differential equations.This paper provides a comprehensive review of collocation methods and their applications,focused on elasticity,heat conduction,electromagnetic field analysis,and fluid dynamics.The merits of the collocation method can be attributed to the need for element mesh,simple implementation,high computational efficiency,and ease in handling irregular domain problems since the collocation method is a type of node-based numerical method.Beginning with the fundamental principles of the collocation method,the discretization process in the continuous domain is elucidated,and how the collocation method approximation solutions for solving differential equations are explained.Delving into the historical development of the collocation methods,their earliest applications and key milestones are traced,thereby demonstrating their evolution within the realm of numerical computation.The mathematical foundations of collocation methods,encompassing the selection of interpolation functions,definition of weighting functions,and derivation of integration rules,are examined in detail,emphasizing their significance in comprehending the method’s effectiveness and stability.At last,the practical application of the collocation methods in engineering contexts is emphasized,including heat conduction simulations,electromagnetic coupled field analysis,and fluid dynamics simulations.These specific case studies can underscore collocation method’s broad applicability and effectiveness in addressing complex engineering challenges.In conclusion,this paper puts forward the future development trend of the collocation method through rigorous analysis and discussion,thereby facilitating further advancements in research and practical applications within these fields.展开更多
Based on the method deriving dissipative compact linear schemes ( DCS), novel high-order dissipative weighted compact nonlinear schemes (DWCNS) are developed. By Fourier analysis, the dissipative and dispersive featur...Based on the method deriving dissipative compact linear schemes ( DCS), novel high-order dissipative weighted compact nonlinear schemes (DWCNS) are developed. By Fourier analysis, the dissipative and dispersive features of DWCNS are discussed. In view of the modified wave number, the DWCNS are equivalent to the fifth-order upwind biased explicit schemes in smooth regions and the interpolations at cell-edges dominate the accuracy of DWCNS. Boundary and near boundary schemes are developed and the asymptotic stabilities of DWCNS on both uniform and stretching grids are analyzed. The multi-dimensional implementations for Euler and Navier-Stokes equations are discussed. Several numerical inviscid and viscous results are given which show the good performances of the DWCNS for discontinuities capturing, high accuracy for boundary layer resolutions, good convergent rates (the root-mean-square of residuals approaching machine zero for solutions with strong shocks) and especially the damping effect on the spurious oscillations which were found in the solutions obtained by TVD and ENO schemes.展开更多
The calculated methods of the compositional dependence of the energy bandgap for Ga_xIn_(1-x)As_(1-y)Sb_y quaternary alloys are discussed in this paper. The dielectric theory of electronegativity and the linearinterpo...The calculated methods of the compositional dependence of the energy bandgap for Ga_xIn_(1-x)As_(1-y)Sb_y quaternary alloys are discussed in this paper. The dielectric theory of electronegativity and the linearinterpolation method were respectively used to calculate the compositional dependence of the energybandgap for Ca_xIn_(1-x)As_(1-y)Sb_y quaternary alloys. The same formula was deduced from the two schemes.According to the two formulas, we calculate the energy handgap as a function of alloy compositions forGa_xIn_(1-x)As_(1-y)Sb_y quaternary alloys: moreover, the temperature effect was lead into the formulas. Com-paring the calculated values with the measured ones, we found that the calculated method is in good agree-ment with the experimental data for Ga_xIn_(1-x)As_(1-y_Sb_y quaternary alloys.展开更多
针对在越江海高水压水下超大直径盾构隧道联络通道施工过程中缺乏足够的工程技术标准和案例经验、设计与施工面临众多挑战问题,以广州海珠湾超大直径盾构隧道区间的6条联络通道工程为例,对工程地质补勘资料及现场施工情况进行分析,揭示...针对在越江海高水压水下超大直径盾构隧道联络通道施工过程中缺乏足够的工程技术标准和案例经验、设计与施工面临众多挑战问题,以广州海珠湾超大直径盾构隧道区间的6条联络通道工程为例,对工程地质补勘资料及现场施工情况进行分析,揭示原矿山法设计施工方案存在的不足,并基于此提出“矿山法结合地层冻结加固方案”和“机械顶管法施工方案”2种优化方案;随后在安全性、经济性、施工工期等方面对不同工法进行综合优选分析,同时引入碳排放指标进行绿色低碳评估。研究结果表明:1)机械顶管法在安全性和施工效率上优于其他方案,能够显著缩短施工周期;2)相比矿山法结合地层冻结加固方案,机械顶管法方案碳排放量减少了2 747.51 t CO_(2e)。展开更多
目的基于热力耦合机理,应用模型数值仿真和多参数化的评价机制,实施方案寻优,从而提升齿轮坯闭式热锻工艺的设计效率和成形质量。方法基于DEFORM仿真软件对某工程齿轮坯锻件的3种闭式热模锻成形工艺方案进行CAE仿真分析,研究其金属塑性...目的基于热力耦合机理,应用模型数值仿真和多参数化的评价机制,实施方案寻优,从而提升齿轮坯闭式热锻工艺的设计效率和成形质量。方法基于DEFORM仿真软件对某工程齿轮坯锻件的3种闭式热模锻成形工艺方案进行CAE仿真分析,研究其金属塑性流动规律,并采用TOPSIS(Technique for Order Preferences by Similarity to Ideal Solution)和CRITIC(Criteria Importance Though Intercrieria Correlation)相结合的方法,构建以应变、应力、载荷、充填性、磨损等8个评价指标的评估模型及权值计算方法,进行工艺方案评估。结果通过仿真可以发现不同的预锻方案,金属塑性流动方式不同,成形结果不同,其中方案1未填满,成形有毛刺,受载不均匀,模具损伤值较大;方案2受载均匀,填充饱满,模具磨损深度大,等效应力大;方案3成形质量较好,但受载不均匀,且同样模具磨损深度大,等效应力大;综合考虑锻件成形质量和模具使用寿命,通过指标同向标准化处理、权重计算,得到方案1、2、3贴近程度分别为0.446、0.511、0.556,方案3值最大,结果最优。对方案3进行工艺试验,获得的齿轮坯充填饱满、无折叠缺陷。结论通过数值模拟与评估模型相结合的方法,可以精确、高效地评估闭式热锻造工艺方案的优劣,提高设计效率与成形质量。展开更多
文摘The quantitative rules of the transfer and variation of errors,when the Gaussian integral functions F.(z) are evaluated sequentially by recurring,have been expounded.The traditional viewpoint to negate the applicability and reliability of upward recursive formula in principle is amended.An optimal scheme of upward-and downward-joint recursions has been developed for the sequential F(z) computations.No additional accuracy is needed with the fundamental term of recursion because the absolute error of Fn(z) always decreases with the recursive approach.The scheme can be employed in modifying any of existent subprograms for Fn<z> computations.In the case of p-d-f-and g-type Gaussians,combining this method with Schaad's formulas can reduce,at least,the additive operations by a factor 40%;the multiplicative and exponential operations by a factor 60%.
文摘Three dimensional Euler equations are solved in the finite volume form with van Leer's flux vector splitting technique. Block matrix is inverted by Gauss-Seidel iteration in two dimensional plane while strongly implicit alternating sweeping is implemented in the direction of the third dimension. Very rapid convergence rate is obtained with CFL number reaching the order of 100. The memory resources can be greatly saved too. It is verified that the reflection boundary condition can not be used with flux vector splitting since it will produce too large numerical dissipation. The computed flow fields agree well with experimental results. Only one or two grid points are there within the shock transition zone.
文摘Objective To identify and reduce the gap between China’s drug GMP inspection and pharmaceutical inspection co-operation scheme(PIC/S)audit checklist,find out the key improvement items,and revise them pertinently,which will promote the process of China joining PIC/S.Methods The general situation of PIC/S organization and audit checklist were introduced first,and then the accession of several countries that joined the organization was analyzed.Meanwhile,the process of China’s participation in PIC/S was sorted out.After referring to the contents of PIC/S audit checklist,the problems of GMP inspection system in China were studied.Results and Conclusion There are still many problems in GMP inspection in China.Some suggestions are put forward for improvement and change,which can provide reference for the development of drug inspection agencies at all levels in China.
基金financially supported by the doctoral fund of the Ministry of Education of Chinathe Nature Science Foundation of Jiangsu Province, China (Grant Nos. 20130091110020 and BE2015675)
文摘A deep foundation pit constructed for an underground transportation hub was excavated near the Yangtze River. Among the strata, there are two confined aquifers, between which lies an aquiclude that is partially missing. To guarantee the safety of pit excavation, the piezometric head of the upper confined aquifer, where the pit bottom is located, should be 1 m below the pit bottom, while that of the lower confined aquifer should be dewatered down to a safe water level to avoid uplift problem. The Yangtze River levee is notably close to the pit, and its deformation caused by dewatering should be controlled. A pumping test was performed to obtain the hydraulic conductivity of the upper confined aquifer. The average value of the hydraulic conductivity obtained from analytical calculation is 20.45 m/d, which is larger than the values from numerical simulation（horizontal hydraulic conductivity K_H = 16 m/d and vertical hydraulic conductivity K_V = S m/d）. The difference between K_H and K_V indicates the anisotropy of the aquifer. Two dewatering schemes were designed for the construction and simulated by the numerical models for comparison purposes. The results show that though the first scheme could meet the dewatering requirements, the largest accumulated settlement and differential settlement would be94.64 mm and 3.3‰, respectively, greatly exceeding the limited values. Meanwhile, the second scheme,in which the bottoms of the waterproof curtains in ramp B and the river side of ramp A are installed at a deeper elevation of-28 m above sea level, and 27 recharge wells are set along the levee, can control the deformation of the levee significantly.
基金The project supported by the Research Program of the Climatic System Model of China,the National Natural Science Foundation of China (40275031 and 40231006) and the National Key Program for Developing Basic Sciences (1999043408)
文摘The retrospective numerical scheme(RNS)is a numerical computation scheme de- signed for multiple past value problems of the initial value in mathematics and considering the self- memory property of the system in physics.This paper briefly presents the historical background of RNS,elaborates the relation of the scheme with other difference schemes and other meteorological prediction methods,and introduces the application of RNS to the regional climatic self-memory model, simplified climate model,barotropic model,spectral model,and mesoscale model.At last,the paper sums up and points out the application perspective of the scheme and the direction for the future study.
文摘Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (locally Maximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations show that the scheme has high resolution and non-oscillatory properties. The results are completely in accordance with the theoretical solutions and all cases are distinguished efficiently
基金the National Natural Science Foundation of China for financial support to this work under Grant NSFC No.12072064.
文摘The collocation method is a widely used numerical method for science and engineering problems governed by partial differential equations.This paper provides a comprehensive review of collocation methods and their applications,focused on elasticity,heat conduction,electromagnetic field analysis,and fluid dynamics.The merits of the collocation method can be attributed to the need for element mesh,simple implementation,high computational efficiency,and ease in handling irregular domain problems since the collocation method is a type of node-based numerical method.Beginning with the fundamental principles of the collocation method,the discretization process in the continuous domain is elucidated,and how the collocation method approximation solutions for solving differential equations are explained.Delving into the historical development of the collocation methods,their earliest applications and key milestones are traced,thereby demonstrating their evolution within the realm of numerical computation.The mathematical foundations of collocation methods,encompassing the selection of interpolation functions,definition of weighting functions,and derivation of integration rules,are examined in detail,emphasizing their significance in comprehending the method’s effectiveness and stability.At last,the practical application of the collocation methods in engineering contexts is emphasized,including heat conduction simulations,electromagnetic coupled field analysis,and fluid dynamics simulations.These specific case studies can underscore collocation method’s broad applicability and effectiveness in addressing complex engineering challenges.In conclusion,this paper puts forward the future development trend of the collocation method through rigorous analysis and discussion,thereby facilitating further advancements in research and practical applications within these fields.
基金This work was supported by the project of Basic Research on Frontier Problems in Fluid and Aerodynamics China and the National Natural Science Foundation of China (Grant No.19772072) .
文摘Based on the method deriving dissipative compact linear schemes ( DCS), novel high-order dissipative weighted compact nonlinear schemes (DWCNS) are developed. By Fourier analysis, the dissipative and dispersive features of DWCNS are discussed. In view of the modified wave number, the DWCNS are equivalent to the fifth-order upwind biased explicit schemes in smooth regions and the interpolations at cell-edges dominate the accuracy of DWCNS. Boundary and near boundary schemes are developed and the asymptotic stabilities of DWCNS on both uniform and stretching grids are analyzed. The multi-dimensional implementations for Euler and Navier-Stokes equations are discussed. Several numerical inviscid and viscous results are given which show the good performances of the DWCNS for discontinuities capturing, high accuracy for boundary layer resolutions, good convergent rates (the root-mean-square of residuals approaching machine zero for solutions with strong shocks) and especially the damping effect on the spurious oscillations which were found in the solutions obtained by TVD and ENO schemes.
文摘The calculated methods of the compositional dependence of the energy bandgap for Ga_xIn_(1-x)As_(1-y)Sb_y quaternary alloys are discussed in this paper. The dielectric theory of electronegativity and the linearinterpolation method were respectively used to calculate the compositional dependence of the energybandgap for Ca_xIn_(1-x)As_(1-y)Sb_y quaternary alloys. The same formula was deduced from the two schemes.According to the two formulas, we calculate the energy handgap as a function of alloy compositions forGa_xIn_(1-x)As_(1-y)Sb_y quaternary alloys: moreover, the temperature effect was lead into the formulas. Com-paring the calculated values with the measured ones, we found that the calculated method is in good agree-ment with the experimental data for Ga_xIn_(1-x)As_(1-y_Sb_y quaternary alloys.
文摘针对在越江海高水压水下超大直径盾构隧道联络通道施工过程中缺乏足够的工程技术标准和案例经验、设计与施工面临众多挑战问题,以广州海珠湾超大直径盾构隧道区间的6条联络通道工程为例,对工程地质补勘资料及现场施工情况进行分析,揭示原矿山法设计施工方案存在的不足,并基于此提出“矿山法结合地层冻结加固方案”和“机械顶管法施工方案”2种优化方案;随后在安全性、经济性、施工工期等方面对不同工法进行综合优选分析,同时引入碳排放指标进行绿色低碳评估。研究结果表明:1)机械顶管法在安全性和施工效率上优于其他方案,能够显著缩短施工周期;2)相比矿山法结合地层冻结加固方案,机械顶管法方案碳排放量减少了2 747.51 t CO_(2e)。
文摘目的基于热力耦合机理,应用模型数值仿真和多参数化的评价机制,实施方案寻优,从而提升齿轮坯闭式热锻工艺的设计效率和成形质量。方法基于DEFORM仿真软件对某工程齿轮坯锻件的3种闭式热模锻成形工艺方案进行CAE仿真分析,研究其金属塑性流动规律,并采用TOPSIS(Technique for Order Preferences by Similarity to Ideal Solution)和CRITIC(Criteria Importance Though Intercrieria Correlation)相结合的方法,构建以应变、应力、载荷、充填性、磨损等8个评价指标的评估模型及权值计算方法,进行工艺方案评估。结果通过仿真可以发现不同的预锻方案,金属塑性流动方式不同,成形结果不同,其中方案1未填满,成形有毛刺,受载不均匀,模具损伤值较大;方案2受载均匀,填充饱满,模具磨损深度大,等效应力大;方案3成形质量较好,但受载不均匀,且同样模具磨损深度大,等效应力大;综合考虑锻件成形质量和模具使用寿命,通过指标同向标准化处理、权重计算,得到方案1、2、3贴近程度分别为0.446、0.511、0.556,方案3值最大,结果最优。对方案3进行工艺试验,获得的齿轮坯充填饱满、无折叠缺陷。结论通过数值模拟与评估模型相结合的方法,可以精确、高效地评估闭式热锻造工艺方案的优劣,提高设计效率与成形质量。
