利用SEDD模型模拟岷江上游小流域的年产沙量

以GIS为平台,建立了泥沙输移分布模型SEDD(sediment delivery distributed model),包括模拟流域年侵蚀量的修正通用水土流失方程RUSLE(revised universal soil loss equation)和模拟泥沙输移比SDR(sediment delivery ratio)的方程.利用该模型模拟了岷江上游黑水、镇江关流域的年侵蚀、产沙量及其空间分布特征.模拟结果表明:两个流域侵蚀强度以轻度和中度侵蚀为主,并伴有强度侵蚀;流域产沙量低,不到侵蚀总量的5%;泥沙输移比与流域产沙量的空间分布相似,均呈现在河流附近较高、其他区域接近零的格局;灌木林地和林地是主要的产沙源,两种类型的产沙量之和约占流域总产沙量的70%.

延河流域退耕前后土壤侵蚀强度的变化

根据修正通用土壤流失方程,在ArcGIS软件平台下,以黄土高原延河流域为例,在合理选用和计算修正通用土壤流失方程中各因子参数的基础上,计算并分析陕北黄土高原延河流域退耕前后土壤侵蚀量的变化及其动态分布。结果表明:1)延河流域退耕后,土壤侵蚀明显减少,与1986—1997年相比,退耕后至2000年土壤侵蚀量平均减少34%;2)坡耕地对土壤侵蚀影响明显,尤其是陡坡耕地退耕至关重要;3)在修正通用土壤流失方程各因子中,短期内影响土壤侵蚀动态变化的主控因子是植被覆盖管理因子,所以调整土地利用结构是减少土壤侵蚀的有效方法。

WEPP模型的最新研究进展

WEPP(Water Soil Loss Equation)作为新一代水蚀预报模型,是指导水土保持措施优化配置、水土资源保护与持续利用的有效工具。近年来,遥感和GIS技术为WEPP快速获取所需资料、处理数据、图像编辑和输出等提供可靠的技术支撑;同时,区域化、尺度概念的引入,为WEPP应用于大尺度提供技术保障。为借鉴WEPP模型的优点,促进我国水蚀预报模型的发展,对WEPP模型的最新发展进行了详尽的介绍,并对WEPP应用到我国时可能存在的问题进行了初步分析。

Modified Simplified Rate Equation Model of Flowing Chemical Oxygen-Iodine Laser and its Application

A modified simplified rate equation (RE) model of flowing chemical oxygen-iodine laser (COIL), which is adapted to both the condition of homogeneous broadening and inhomogeneous broadening being of importance and the condition of inhomogeneous broadening being predominant, is presented for performance analyses of a COIL. By using the Voigt profile function and the gain-equal-loss approximation, a gain expression has been deduced from the rate equations of upper and lower level laser species. This gain expression is adapted to the conditions of very low gas pressure up to quite high pressure and can deal with the condition of lasing frequency being not equal to the central one of spectral profile. The expressions of output power and extraction efficiency in a flowing COIL can be obtained by solving the coupling equations of the deduced gain expression and the energy equation which expresses the complete transformation of the energy stored in singlet delta state oxygen into laser energy. By using these expressions, the RotoCOIL experiment is simulated, and obtained results agree well with experiment data. Effects of various adjustable parameters on the performances of COIL are also presented.

Modified Simplified Rate Equation Model of Flowing Chemical Oxygen-Iodine Laser and its Application

A modified simplified rate equation (RE) model of flowing chemical oxygen-iodine laser (COIL), which is adapted to both the condition of homogeneous broadening and inhomogeneous broadening being of importance and the condition of inhomogeneous broadening being predominant, is presented for performance analyses of a COIL. By using the Voigt profile function and the gain-equal-loss approximation, a gain expression has been deduced from the rate equations of upper and lower level laser species. This gain expression is adapted to the conditions of very low gas pressure up to quite high pressure and can deal with the condition of lasing frequency being not equal to the central one of spectral profile. The expressions of output power and extraction efficiency in a flowing COIL can be obtained by solving the coupling equations of the deduced gain expression and the energy equation which expresses the complete transformation of the energy stored in singlet delta state oxygen into laser energy. By using these expressions, the RotoCOIL experiment is simulated, and obtained results agree well with experiment data. Effects of various adjustable parameters on the performances of COIL are also presented.

Complex potentials and singular integral equation for curve crack problem in antiplane elasticity

Four types of the fundamental complex potential in antiplane elasticity are introduced: (a) a point dislocation, (b) a concentrated force, (c) a dislocation doublet and (d) a concentrated force doublet. It is proven that if the axis of the concentrated force doublet is perpendicular to the direction of the dislocation doublet, the relevant complex potentials are equivalent. Using the obtained complex potentials, a singular integral equation for the curve crack problem is introduced. Some particular features of the obtained singular integral equation are discussed, and numerical solutions and examples are given.

Direct numerical test of the B-G-K model equation by the DSMC method

In the present paper the rarefied gas how caused by the sudden change of the wall temperature and the Rayleigh problem are simulated by the DSMC method which has been validated by experiments both in global flour field and velocity distribution function level. The comparison of the simulated results with the accurate numerical solutions of the B-G-K model equation shows that near equilibrium the BG-K equation with corrected collision frequency can give accurate result but as farther away from equilibrium the B-G-K equation is not accurate. This is for the first time that the error caused by the B-G-K model equation has been revealed.

A lattice Boltzmann method for KDV equation

We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation.

A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation

Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations (CDEs) is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.

A lattice Boltzmann equation for waves

We propose a lattice Boltzmann model for the wave equation. Using a lattice Boltzmann equation and the Chapman-Enskog expansion, we get 1D and 2D wave equations with truncation error of order two. The numerical tests show the method can be used to simulate the wave motions.

Variational Approach to the Lane-Emden Equation

By the semi-inverse method, a variational principle is obtained for the Lane-Emden equation, which gives much numerical convenience when applying finite element methods or Ritz method.

A Variational Approach to the Burridge-Knopoff Equation

A variational principle is obtained for the Burridge-Knopoff model for earthquake faults, and this paper considers an analytic approach that does not require linearization or perturbation.

Variational Approach to the Thomas-Fermi Equation

By the semi-inverse method, a variational principle is obtained for the Thomas-Fermi equation, then the Ritz method is applied to solve an analytical solution, which is a much simpler and more efficient method.