We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico--electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-elec...We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico--electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results.展开更多
[Objective] The aim was to study the coupling effect of water and phosphate on economic traits of sugarcane. [Method] Taking sugarcane variety ROC22 as tested material,coupling effects of different levels of water sup...[Objective] The aim was to study the coupling effect of water and phosphate on economic traits of sugarcane. [Method] Taking sugarcane variety ROC22 as tested material,coupling effects of different levels of water supply quantity and different levels of phosphorus fertilizer on the yield and quality of sugarcane were studied. Among them,water supply quantity had 3 levels,that was,the water supply quantity per 10 days from the early tillering stage of sugarcane to the end of elongation was 199.5 m3/hm2 (A1),400.5 m3/hm2 (A2) and 600.0 m3/hm2 (A3),respectively; Phosphorus fertilizer as basic fertilizer had 4 levels:P2O5 0 kg/hm2 (B1),120 kg/hm2 (B2),240 kg/hm2 (B3) and 360 kg/hm2 (B4). [Result] Treatment A3B2 in water-fertilizer coupling was more suitable to improve economic traits of sugarcane. [Conclusion] The research results provide theoretical basis for the efficient utilization of water and phosphorus fertilizer in production of Guangxi sugarcane and the cultivation of high-yield and high-glucose sugarcane.展开更多
In this paper, the conserved quantities are constructed using two methods. The first method is by making an ansatz of the conserved quantity and then using the definition of Poisson bracket to obtain the coefficients ...In this paper, the conserved quantities are constructed using two methods. The first method is by making an ansatz of the conserved quantity and then using the definition of Poisson bracket to obtain the coefficients in the ansatz. The main procedure for the second method is given as follows. Firstly, the coupled terms in Lagrangian are eliminated by changing the coordinate scales and rotating the coordinate axes, secondly, the conserved quantities are obtain in new coordinate directly, and at last, the conserved quantities are expressed in the original coordinates by using the inverse transform of the coordinates. The Noether symmetry and Lie symmetry of the infinitesimal transformations about the conserved quantities are also studied in this paper.展开更多
In the present paper, using the method of separating coupled physic quantity bypotential operator, we derive two special minmum principles in coupled thermoelastodynamics.
In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions...In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions time and space;the scheme is unconditionally stable. The second scheme is a nonlinear implicit scheme of second order accuracy in time and fourth order accuracy in space direction. A generalized method is also derived where the previous schemes can be obtained by some special values of l. The proposed methods will produced a coupled nonlinear tridiagonal system which can be solved by fixed point method. The exact solutions and the conserved quantities for two different tests are used to display the robustness of the proposed schemes.展开更多
针对中国多闸坝重污染河流的典型代表——淮河中游河网,为提高其流域水环境预警及应急响应能力,依据水文-水动力-水质耦合数学模型DHQM(Hydrology,Hydrodynamics,and Water Quality Model)的理论框架,构建了由淮河干流、沙颍河和涡河3...针对中国多闸坝重污染河流的典型代表——淮河中游河网,为提高其流域水环境预警及应急响应能力,依据水文-水动力-水质耦合数学模型DHQM(Hydrology,Hydrodynamics,and Water Quality Model)的理论框架,构建了由淮河干流、沙颍河和涡河3个一维模块和鲁台子、蚌埠闸2个二维模块组成的淮河中游河网水文-水动力-水质耦合数学模型。采用经过验证的模型针对一个虚拟的水污染事故情景,分析了不同调度方案与淮河干流来水组合下污染团下泄对下游水质的影响;并以保障淮河干流蚌埠市饮用水源地的取水水质安全和减轻事故对下游水质的影响程度为目标,优选出分期小流量慢速下泄污染水体为最佳的水量水质联合应急调度方案。展开更多
针对流域级闸控大型河网水环境日常管理的应用需求与实际特点,将资料适应性强的水文学方法与数据要求相对严苛的水动力-水质数值模型相融合,构建了一维与二维嵌套、分块组合的闸控大型河网水文-水动力-水质耦合数学模型DHQM(Hydrology,H...针对流域级闸控大型河网水环境日常管理的应用需求与实际特点,将资料适应性强的水文学方法与数据要求相对严苛的水动力-水质数值模型相融合,构建了一维与二维嵌套、分块组合的闸控大型河网水文-水动力-水质耦合数学模型DHQM(Hydrology,Hydrodynamics,and Water Quality Model for Impounded Rivers)。模型由河道径流模拟、闸坝调度过程模拟、河道水质模拟、区间入流及入河污染负荷估算和水质预警实时校正等5个模块组成。模型可服务于水环境实时预警和调度,也可为闸坝水文环境效应的量化提供基础工具。展开更多
基金supported by the National Natural Science Foundation of China (Grant No.11072218)
文摘We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico--electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results.
基金Supported by National Science and Technology Project of China(2007BAD30B04)~~
文摘[Objective] The aim was to study the coupling effect of water and phosphate on economic traits of sugarcane. [Method] Taking sugarcane variety ROC22 as tested material,coupling effects of different levels of water supply quantity and different levels of phosphorus fertilizer on the yield and quality of sugarcane were studied. Among them,water supply quantity had 3 levels,that was,the water supply quantity per 10 days from the early tillering stage of sugarcane to the end of elongation was 199.5 m3/hm2 (A1),400.5 m3/hm2 (A2) and 600.0 m3/hm2 (A3),respectively; Phosphorus fertilizer as basic fertilizer had 4 levels:P2O5 0 kg/hm2 (B1),120 kg/hm2 (B2),240 kg/hm2 (B3) and 360 kg/hm2 (B4). [Result] Treatment A3B2 in water-fertilizer coupling was more suitable to improve economic traits of sugarcane. [Conclusion] The research results provide theoretical basis for the efficient utilization of water and phosphorus fertilizer in production of Guangxi sugarcane and the cultivation of high-yield and high-glucose sugarcane.
文摘In this paper, the conserved quantities are constructed using two methods. The first method is by making an ansatz of the conserved quantity and then using the definition of Poisson bracket to obtain the coefficients in the ansatz. The main procedure for the second method is given as follows. Firstly, the coupled terms in Lagrangian are eliminated by changing the coordinate scales and rotating the coordinate axes, secondly, the conserved quantities are obtain in new coordinate directly, and at last, the conserved quantities are expressed in the original coordinates by using the inverse transform of the coordinates. The Noether symmetry and Lie symmetry of the infinitesimal transformations about the conserved quantities are also studied in this paper.
文摘In the present paper, using the method of separating coupled physic quantity bypotential operator, we derive two special minmum principles in coupled thermoelastodynamics.
文摘In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions time and space;the scheme is unconditionally stable. The second scheme is a nonlinear implicit scheme of second order accuracy in time and fourth order accuracy in space direction. A generalized method is also derived where the previous schemes can be obtained by some special values of l. The proposed methods will produced a coupled nonlinear tridiagonal system which can be solved by fixed point method. The exact solutions and the conserved quantities for two different tests are used to display the robustness of the proposed schemes.
文摘针对中国多闸坝重污染河流的典型代表——淮河中游河网,为提高其流域水环境预警及应急响应能力,依据水文-水动力-水质耦合数学模型DHQM(Hydrology,Hydrodynamics,and Water Quality Model)的理论框架,构建了由淮河干流、沙颍河和涡河3个一维模块和鲁台子、蚌埠闸2个二维模块组成的淮河中游河网水文-水动力-水质耦合数学模型。采用经过验证的模型针对一个虚拟的水污染事故情景,分析了不同调度方案与淮河干流来水组合下污染团下泄对下游水质的影响;并以保障淮河干流蚌埠市饮用水源地的取水水质安全和减轻事故对下游水质的影响程度为目标,优选出分期小流量慢速下泄污染水体为最佳的水量水质联合应急调度方案。
文摘针对流域级闸控大型河网水环境日常管理的应用需求与实际特点,将资料适应性强的水文学方法与数据要求相对严苛的水动力-水质数值模型相融合,构建了一维与二维嵌套、分块组合的闸控大型河网水文-水动力-水质耦合数学模型DHQM(Hydrology,Hydrodynamics,and Water Quality Model for Impounded Rivers)。模型由河道径流模拟、闸坝调度过程模拟、河道水质模拟、区间入流及入河污染负荷估算和水质预警实时校正等5个模块组成。模型可服务于水环境实时预警和调度,也可为闸坝水文环境效应的量化提供基础工具。
