基于连续性扩散流的湿地表面水流动力学模型

受表面密生植被的影响,湿地表面流总是处于高阻力、低流速状态。湿地表面流的水流动力学方程中,其水流加速度项相对于地表高密度植被造成的高阻力项相比,可以忽略。由此,以水流连续性方程和忽略加速度项的水流动力学方程为基础,构建基于连续性扩散流的湿地表面流动力学模型。该模型是一个抛物型偏微分方程,相对于描述一般径流流态的圣维南双曲型偏微分方程组而言,其求解过程相对容易。模型中的表面流流量采用修正的曼宁方程描述,表面糙率采用已有经验公式,数值计算方法采用六点差分格式。模拟结果表明,该模型能够体现湿地表面流的高阻力、低流速特征。水深越浅,水流模式变化越慢,水深越大,表面流受植被阻力越小,水流模式变化越快。     

Random Vibration of Systems with Viscoelastic Memory

The equation of motion of linear dynamic systems with viscoelastic memory is usually expressed in a integrodifferential form, and its numerical solution is computationally heavy. In two recent papers, the writers suggested that the system memory be accounted for through the introduction of a number of additional internal variables. Following this approach, the motion of the system is governed by a set of first-order, linear differential equations, whose solution is quite easy. In this paper, the approach is extended to single-degree-of-freedom systems subjected to random, nonstationary excitation. The equations governing the time variation of the second-order statistics are derived, and an effective step-by-step solution procedure is proposed. Numerical example shows the accuracy of the procedure for white and nonwhite excitations.     

Elasticity of Space-Time: Basis of Newton’s 2nd Law of Motion

In this paper we derive Newton’s 2nd Law of Motion from the constitutive equation of elasticity of a space-time continuum in four dimensions. This we do by introducing a four-dimensional material continuum with a Minkowskian metric, in analogy with Einstein’s general theory of relativity. The four-continuum is deformable in both space and time. The physics of the deformation is embedded in a variational principle, which is a form-invariant extension of its classical mechanical counterpart in three dimensions, but with the acceleration term absent. General dynamic equations of elasticity in four dimensions are thereby derived. When the constraint of temporal inextensibility (universal time) is introduced, these equations yield readily the dynamic equations of elasticity in three dimensions. The presence of the inertia term in these equations, is a direct consequence of the temporal curvature induced by the deformation of the four-continuum. Newton’s law of motion for rigid bodies follows when the additional constraint of spatial inextensibility is introduced.     

A data porting tool for coupling models with different discretization needs

The presented work is part of a larger research program dealing with developing tools for coupling biogeochemical models in contaminated landscapes. The specific objective of this article is to provide researchers with a data porting tool to build hexagonal raster using information from a rectangular raster data (e.g. GIS format). This tool involves a computational algorithm and an open source software (written in C). The method of extending the reticulated functions defined on 2D networks is an essential key of this algorithm and can also be used for other purposes than data porting. The algorithm allows one to build the hexagonal raster with a cell size independent from the geometry of the rectangular raster. The extended function is a bi-cubic spline which can exactly reconstruct polynomials up to degree three in each variable. We validate the method by analyzing errors in some theoretical case studies followed by other studies with real terrain elevation data. We also introduce and briefly present an iterative water routing method and use it for validation on a case with concrete terrain data.     

汽液平衡计算与立方型状态方程

本文综述应用于汽液平衡计算的立方型状态方程的发展和研究动向。     

均布与线性荷载作用下的简支T梁翼缘的有效宽度

以辛弹性力学方法为基础,将简支宽翼缘T梁翼缘部分简化为平面应力板,推导了简支T梁在满跨均布荷载与线性荷载作用下翼缘部分的有效宽度的表达式。将均布荷载下翼缘有效宽度比求解结果与英国规范BS5400中的取值进行了比较,验证了本文闭合多项式形式的有效宽度表达式的正确性。用本文方法计算T梁翼缘有效宽度简洁有效,丰富了简支T梁桥有效宽度的理论分析并简化了计算。     

浅谈解的存在唯一性定理在《偏微分方程数值解》中的应用

从一个新的角度讨论常微分方程中解的存在唯一性定理在偏微分方程数值解法中的重要应用。给出一类伪双曲型偏微分方程的新的分裂混合有限元数值格式,将该格式转化成常微分方程系统,利用解的存在唯一性定理证明该系统是存在唯一解的。通过简短的讨论、概述明确解的存在唯一定理在偏微分方程数值解中的应用方法．并希望能够在教学科研未来的发展中有新的观念。     

多变元公钥密码系统在密码学中的应用

介绍了多变元公钥密码系统在密码学中的应用,以及多变元公钥密码是如何实现加密和解密的。