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Wavelet solutions of Burgers' equation with high Reynolds numbers

Science China(Technological Sciences) 2014年第7期57卷 1285-1292页

作者： LIU XiaoJing ZHOU YouHe ZHANG Lei WANG JiZeng Key Laboratory of Mechanics on Disaster and Environment in Western China the Ministry of Educationand School of Civil Engineering and Mechanics Lanzhou University

A wavelet method is proposed to solve the Burgers’*** this method,this nonlinear partial differential equation is first transformed into a system of ordinary differential equations using the modified wavelet Galerkin method recently developed by the ***,the classical fourth-order explicit runge–kutta method is employed to solve the resulting system of ordinary differential *** a wavelet-based solution procedure has been justified by solving two test examples:results demonstrate that the proposed method has a much better accuracy and efficiency than many other existing numerical methods,and whose order of convergence can go up to *** importantly,our results also indicate that the present wavelet method can readily deal with those fluid dynamics problems with high Reynolds numbers.

关键词： modified wavelet Galerkin method runge–kutta method Burgers' equation high Reynolds number

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The ray-tracing mapping operator in an asymmetric atmosphere

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Progress in Natural Science:Materials International 2008年第1期18卷 123-127页

作者： Zhenjie Honga ,b,*,Fan Ye b ,Peng Guo a aShanghai Astronomical Observatory,Chinese Academy of Sciences,Shanghai 200030,China bSchool of Mathematics&Information Science,Wenzhou University,Wenzhou 325027,China Shanghai Astronomical Observatory Chinese Academy of Sciences Shanghai 200030 China School of Mathematics & Information Science Wenzhou University Wenzhou 325027 China

In a spherically symmetric atmosphere,the refractive index profile is retrieved from bending angle measurements through Abel inte- gral *** horizontal refractivity inhomogeneity becomes significant in the moist low atmosphere,the error in refractivity profile obtained from Abel inversion reaches about 10%.One way to avoid this error is to directly assimilate bending angle profile into numer- ical weather *** paper discusses the 2D ray-tracing mapping operator for bending angle in an asymmetric *** simulating computations,the retrieval error of the refractivity in horizontal inhomogeneity is *** step length of 4 rank runge– kutta method is also tested.

关键词： GPS occultation Ray-tracing Data assimilation runge–kutta method

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Influence of viscous force on the dynamic process of micro-sphere in optical tweezers

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中国物理B:英文版 2023年第10期32卷 768-775页

作者：刘静吴星宇冯怡敏郑冕李志远 College of Computer Science South-Central Minzu UniversityWuhan 430074China China Ship Development and Design Center Wuhan 430064China School of Physics and Optoelectronics South China University of TechnologyGuangzhou 510640China

With the advantages of noncontact,high accuracy,and high flexibility,optical tweezers hold huge potential for micro-manipulation and force ***,the majority of previous research focused on the state of the motion of particles in the optical trap,but paid little attention to the early dynamic process between the initial state of the particles and the optical *** that the viscous forces can greatly affect the motion of *** this paper,based on the equations of Newtonian mechanics,we investigate the dynamics of laser-trapped micro-spheres in the surrounding environment with different viscosity *** the calculations,over time the particle trajectory clearly reveals the subtle details of the optical capture process,including acceleration,deceleration,turning,and reciprocating *** time to equilibrium mainly depends on the corresponding damping coefficient of the surrounding environment and the oscillation frequency of the optical *** studies are essential for understanding various mechanisms to engineer the mechanical motion behavior of molecules or microparticles in liquid or air.

关键词： optical tweezers viscous force equations of Newtonian mechanics runge–kutta method

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