A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory （CW...A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory （CWENO） reconstruction for one-dimensional cases, which is generalized to two-dimensional cases by the dimension-by-dimension approach. The large stability domain Runge-Kutta-type solver ROCK4 is used for time integration. The resulting method requires neither the use of Riemann solvers nor the computation of Jacobians and therefore it enjoys the main advantage of the relaxation schemes. The high accuracy and high-resolution properties of the present method are demonstrated in one- and two-dimensional numerical experiments.展开更多
In this paper, the first boundary problem of quasilinear parabolic system of second order is studied by the finite difference method with intrinsic parallelism. for the problem, the stability of the difference schemes...In this paper, the first boundary problem of quasilinear parabolic system of second order is studied by the finite difference method with intrinsic parallelism. for the problem, the stability of the difference schemes with intrinsic parallelism are justified in the sense of the continuous dependence of the discrete vector solution of the difference schemes on the discrete data of the original problem, without assuming the existence of the smooth solutions for the origillal problem.展开更多
In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy...In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy conservation law. Based on the rule that the numerical methods should preserve the intrinsic properties as much as possible, we propose a local energy-preserving （LEP） scheme for the system. The merit of the proposed scheme is that the local energy conservation law can be conserved exactly in any time-space region. With homogeneous Dirchlet boundary conditions, the proposed LEP scheme also possesses the discrete global mass and energy conservation laws. The theoretical properties are verified by numerical results.展开更多
This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference s...This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.展开更多
In this paper we develop a kind of dissipative discrete scheme for the computation of homoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuation method that when the dissipative term an...In this paper we develop a kind of dissipative discrete scheme for the computation of homoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuation method that when the dissipative term and its coefficient are suitably chosen, this scheme possesses discrete homoclinic orbits, which approximate the continuous homoclinic orbits with second order accuracy w.r. to time-step size.展开更多
Two kinds of symplectic schemes are proposed for the equations of vortex system in half plane.One is the Reflecting-method which is based on the symplectic schemes for the system in the whole plane.The other is constr...Two kinds of symplectic schemes are proposed for the equations of vortex system in half plane.One is the Reflecting-method which is based on the symplectic schemes for the system in the whole plane.The other is constructed directly according to the feature of the system.Aseries of numerical results are presented to show the effectiveness of our schemes.展开更多
The nature of infinite-dimensional Hamiltonian systems are studied for the purpose of further study on some generalized Hamiltonian systems equipped with a given Poisson bracket. From both theoretical and practical vi...The nature of infinite-dimensional Hamiltonian systems are studied for the purpose of further study on some generalized Hamiltonian systems equipped with a given Poisson bracket. From both theoretical and practical viewpoints, we summarize a general method of constructing symplectic-like difference schemes of these kinds of systems. This study provides a new algorithm for the application of the symplectic geometry method in numerical solutions of general evolution equations.展开更多
With the development of intelligent and communication technology, traditional logistics has gradually transformed into intelligent logistics. The construction of the railway intelligent cold chain logistics system is ...With the development of intelligent and communication technology, traditional logistics has gradually transformed into intelligent logistics. The construction of the railway intelligent cold chain logistics system is an effective measure to implement the structural adjustment of supply, which conforms to the times. Firstly, basic features and design principles of the railway intelligent cold chain logistics system were described. Secondly, target functions and the system framework of the railway intelligent cold chain logistics were put forward, which takes information service as a foundation, management service as a guarantee, business capability as kernel and expansion capability as support. Subsequently, the technical approaches were studied at the hardware, processing and software levels. Finally, development strategies of the railway intelligent cold chain logistics were discussed, including optimizing the layout of infrastructure, improving the performance of equipment, extending the reach of services, deepening the cooperation of technologies and promoting the formulation of standards which provides feasible references for the railway cold chain logistics to explore modern business models.展开更多
The satellite-based automatic identification system (AIS) receiver has to encounter the frequency offset caused by the Doppler effect and the oscillator instability. This paper proposes a non-coherent sequence detecti...The satellite-based automatic identification system (AIS) receiver has to encounter the frequency offset caused by the Doppler effect and the oscillator instability. This paper proposes a non-coherent sequence detection scheme for the satellite-based AIS signal transmitted over the white Gaussian noise channel. Based on the maximum likelihood estimation and a Viterbi decoder, the proposed scheme is capable of tolerating a frequency offset up to 5% of the symbol rate. The complexity of the proposed scheme is reduced by the state-complexity reduction, which is based on per-survivor processing. Simulation results prove that the proposed non-coherent sequence detection scheme has high robustness to frequency offset compared to the relative scheme when messages collision exists.展开更多
The influence of cells groupings factor to the performance of the cells groupings time-shift pilot scheme is researched for the multiple cells large scale antennas systems（LSAS）. The former researches have confirmed...The influence of cells groupings factor to the performance of the cells groupings time-shift pilot scheme is researched for the multiple cells large scale antennas systems（LSAS）. The former researches have confirmed that the cells groupings time-shift pilots scheme is effective to reduce inter-cell interference, especially pilot contamination, which results from the pilot reuse in adjacent cells. However, they have not specified reasonable cells groupings factor, which plays a critical role in the general performance of the LSAS. Therefore, this problem is researched in details. The time for reverse-link data transmission will be compressed, when the groupings factor surpasses a certain range. Thus it is not always beneficial to increase the cells groupings factor without limitation. Furthermore,a reasonable cells groupings factor is deduced from the perspective of optimization to enhance the system performance. Simulations verify the proposed cell grouping factor.展开更多
泵站、长距离供水等有压输水系统中,精准、高效的水力计算对于系统水力安全、智慧调控至关重要。然而,现有的水锤计算大多基于稳态摩阻假定,低估了水锤衰减;尤其是采用的特征线法因插值计算或调整波速,常会引起计算误差。为了精准、高...泵站、长距离供水等有压输水系统中,精准、高效的水力计算对于系统水力安全、智慧调控至关重要。然而,现有的水锤计算大多基于稳态摩阻假定,低估了水锤衰减;尤其是采用的特征线法因插值计算或调整波速,常会引起计算误差。为了精准、高效地模拟水锤问题,构建了Urbanowicz and Zarzycki简化加权类动态摩阻水锤模型,采用二阶Godunov格式进行模型求解,并设计搭建了水锤试验台,将所建模型计算结果与Zielke模型、Brunone模型、传统的特征线法结果、试验结果进行对比分析。结果表明,所建模型可以精准仿真水锤压力的波动峰值与周期,与试验结果基本吻合;Zielke模型与所建模型具有基本一致的计算精度,纳什效率系数可达0.94,但Zielke模型计算耗时量巨大;Brunone模型计算效率略优于所建模型,但计算精度较差,纳什效率系数为0.87;当库朗数小于1时,特征线法会出现严重的数值耗散,而本文模型仅有轻微的数值衰减。可见,所建模型提供了一种精准、高效、稳定的水锤模拟方法。展开更多
基金the National Natural Science Foundation of China (60134010)The English text was polished by Yunming Chen.
文摘A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory （CWENO） reconstruction for one-dimensional cases, which is generalized to two-dimensional cases by the dimension-by-dimension approach. The large stability domain Runge-Kutta-type solver ROCK4 is used for time integration. The resulting method requires neither the use of Riemann solvers nor the computation of Jacobians and therefore it enjoys the main advantage of the relaxation schemes. The high accuracy and high-resolution properties of the present method are demonstrated in one- and two-dimensional numerical experiments.
文摘In this paper, the first boundary problem of quasilinear parabolic system of second order is studied by the finite difference method with intrinsic parallelism. for the problem, the stability of the difference schemes with intrinsic parallelism are justified in the sense of the continuous dependence of the discrete vector solution of the difference schemes on the discrete data of the original problem, without assuming the existence of the smooth solutions for the origillal problem.
基金Project supported by the National Natural Science Foundation of China(Grant No.11771213)the Startup Foundation for Introducing Talent of Nanjing University of Information Science and Technology(Grant No.2243141701090)
文摘In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy conservation law. Based on the rule that the numerical methods should preserve the intrinsic properties as much as possible, we propose a local energy-preserving （LEP） scheme for the system. The merit of the proposed scheme is that the local energy conservation law can be conserved exactly in any time-space region. With homogeneous Dirchlet boundary conditions, the proposed LEP scheme also possesses the discrete global mass and energy conservation laws. The theoretical properties are verified by numerical results.
文摘This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.
文摘In this paper we develop a kind of dissipative discrete scheme for the computation of homoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuation method that when the dissipative term and its coefficient are suitably chosen, this scheme possesses discrete homoclinic orbits, which approximate the continuous homoclinic orbits with second order accuracy w.r. to time-step size.
文摘Two kinds of symplectic schemes are proposed for the equations of vortex system in half plane.One is the Reflecting-method which is based on the symplectic schemes for the system in the whole plane.The other is constructed directly according to the feature of the system.Aseries of numerical results are presented to show the effectiveness of our schemes.
基金Acknowledgments. This work was supported by the China National Key Development Planning Project for Ba-sic Research (Abbreviation: 973 Project Grant No. G1999032801), the Chinese Academy of Sciences Key Innovation Direction Project (Grant No. KZCX2208)
文摘The nature of infinite-dimensional Hamiltonian systems are studied for the purpose of further study on some generalized Hamiltonian systems equipped with a given Poisson bracket. From both theoretical and practical viewpoints, we summarize a general method of constructing symplectic-like difference schemes of these kinds of systems. This study provides a new algorithm for the application of the symplectic geometry method in numerical solutions of general evolution equations.
文摘With the development of intelligent and communication technology, traditional logistics has gradually transformed into intelligent logistics. The construction of the railway intelligent cold chain logistics system is an effective measure to implement the structural adjustment of supply, which conforms to the times. Firstly, basic features and design principles of the railway intelligent cold chain logistics system were described. Secondly, target functions and the system framework of the railway intelligent cold chain logistics were put forward, which takes information service as a foundation, management service as a guarantee, business capability as kernel and expansion capability as support. Subsequently, the technical approaches were studied at the hardware, processing and software levels. Finally, development strategies of the railway intelligent cold chain logistics were discussed, including optimizing the layout of infrastructure, improving the performance of equipment, extending the reach of services, deepening the cooperation of technologies and promoting the formulation of standards which provides feasible references for the railway cold chain logistics to explore modern business models.
文摘The satellite-based automatic identification system (AIS) receiver has to encounter the frequency offset caused by the Doppler effect and the oscillator instability. This paper proposes a non-coherent sequence detection scheme for the satellite-based AIS signal transmitted over the white Gaussian noise channel. Based on the maximum likelihood estimation and a Viterbi decoder, the proposed scheme is capable of tolerating a frequency offset up to 5% of the symbol rate. The complexity of the proposed scheme is reduced by the state-complexity reduction, which is based on per-survivor processing. Simulation results prove that the proposed non-coherent sequence detection scheme has high robustness to frequency offset compared to the relative scheme when messages collision exists.
基金supported by the National Natural Science Foundation of China(6110602261574013)
文摘The influence of cells groupings factor to the performance of the cells groupings time-shift pilot scheme is researched for the multiple cells large scale antennas systems（LSAS）. The former researches have confirmed that the cells groupings time-shift pilots scheme is effective to reduce inter-cell interference, especially pilot contamination, which results from the pilot reuse in adjacent cells. However, they have not specified reasonable cells groupings factor, which plays a critical role in the general performance of the LSAS. Therefore, this problem is researched in details. The time for reverse-link data transmission will be compressed, when the groupings factor surpasses a certain range. Thus it is not always beneficial to increase the cells groupings factor without limitation. Furthermore,a reasonable cells groupings factor is deduced from the perspective of optimization to enhance the system performance. Simulations verify the proposed cell grouping factor.
文摘泵站、长距离供水等有压输水系统中,精准、高效的水力计算对于系统水力安全、智慧调控至关重要。然而,现有的水锤计算大多基于稳态摩阻假定,低估了水锤衰减;尤其是采用的特征线法因插值计算或调整波速,常会引起计算误差。为了精准、高效地模拟水锤问题,构建了Urbanowicz and Zarzycki简化加权类动态摩阻水锤模型,采用二阶Godunov格式进行模型求解,并设计搭建了水锤试验台,将所建模型计算结果与Zielke模型、Brunone模型、传统的特征线法结果、试验结果进行对比分析。结果表明,所建模型可以精准仿真水锤压力的波动峰值与周期,与试验结果基本吻合;Zielke模型与所建模型具有基本一致的计算精度,纳什效率系数可达0.94,但Zielke模型计算耗时量巨大;Brunone模型计算效率略优于所建模型,但计算精度较差,纳什效率系数为0.87;当库朗数小于1时,特征线法会出现严重的数值耗散,而本文模型仅有轻微的数值衰减。可见,所建模型提供了一种精准、高效、稳定的水锤模拟方法。
