A mass conservative well‐balanced reconstruction at wet/dry interfaces for the Godunov‐type shallow water model

This paper presents a novel mass conservative, positivity preserving wetting and drying treatment for Godunov‐type shallow water models with second‐order bed elevation discretization. The novel method allows to compute water depths equal to machine accuracy without any restrictions on the time step or any threshold that defines whether the finite volume cell is considered to be wet or dry. The resulting scheme is second‐order accurate in space and keeps the C‐property condition at fully flooded area and also at the wet/dry interface. For the time integration, a second‐order accurate Runge–Kutta method is used. The method is tested in two well‐known computational benchmarks for which an analytical solution can be derived, a C‐property benchmark and in an additional example where the experimental results are reproduced. Overall, the presented scheme shows very good agreement with the reference solutions. The method can also be used in the discontinuous Galerkin method. Copyright © 2016 John Wiley & Sons, Ltd.     

补偿转向盘振动力矩的控制策略研究

在Matlab/Simulink中建立了电动助力转向系统动力学模型,根据路感信息与不平路面引起的振动干扰在频率上的区别,经过高通滤波检测出路面不平整产生的转向系统干扰力矩,通过助力电机提供相反大小的力矩对其进行补偿。针对路感信息与路面振动干扰在频率上区分界限的不固定性,设计了一种在线可调节滤波器截止频率的控制方法,避免对车辆路感信息正常传递的影响。仿真结果表明,所设计的补偿控制策略能够有效衰减不平路面干扰力矩到方向盘的传递。     

非平整基底上受热液膜流动稳定性研究

本文研究了二维黏性流体薄膜沿非平整不均匀加热基底流动时非线性表面波的演化及其流动稳定性.利用长波摄动法推导出非平整线性加热基底上非线性表面波的零阶和一阶演化方程,基于所得演化方程,绘制出正弦波纹基底上液膜的表面波形图,并研究液膜流动的线性稳定性,分析了各无量纲参数对液膜线性稳定性的影响.分析结果表明:在正弦波纹基底上,液膜自由表面随同壁面作相同频率的正弦型波动,且液膜厚度沿流动方向逐渐变小;Marangoni数为稳定影响因素,随Marangoni数的增大,液膜稳定区域增大;Peclet数和倾角θ均为不稳定影响因素,随Peclet数和倾角θ的增大,液膜稳定区域减小;在非平整基底的波峰和波谷处,Peclet数、Marangoni数和倾角θ对稳定性的影响趋势一致,但基底波谷处的液膜稳定区域小于波峰处区域,流动更易失稳.     

浅析二阶齐次线性变系数微分方程的一个可积类型

本文讨论了二阶齐次线性变系数微分方程的特殊形式，给出了这种微分方程的一个可积类型．     

图像技术在非均匀布风流化床颗粒运动分析中的应用

通过实验得到了非均匀布风流化床内示踪颗粒在床层内的运动历程,以及床层内颗粒的浓度分布随时间的变化,并发纳得到颗料在非均匀布风的内旋流流化床中不同区域的扩散系数,内旋流流化床颗粒的纵向扩散系数和横向扩散系数大小相近,横向扩散系数明显大于均匀布风的鼓泡床的横向扩散系数,具有较好的横向扩散特性,有利于使流化床内横向不均匀的状况得到改善。     

逻辑系统G3在非均匀概率空间下命题的真度理论

在离散概率测度空间下定义了三值逻辑（p,q,r）测度，并相应地定义了命题逻辑系统中公式的真度概念；在三值逻辑（1/6．1/3．1/2）测度和（1/7．2/7.4/7）测度下证明了命题逻辑系统G3中全体公式的真度值之集在[0．1]上是稠密的，并给出真度的表达式；利用真度定义公式的相似度和一种伪距离，为—般离散概率空间下三值命题的近似推理理论提供一种可能的框架．     

低对比度非均匀干涉条纹图预处理研究

干涉条纹的预处理是干涉检测技术的重要步骤 ,但低对比度、非均匀干涉条纹图的处理是比较困难的。采用分区直方图调整法 ,根据条纹图的实际情况设置分区大小 ,并进行直方图调整 ,然后经过二值化、平滑、细化、整形等处理 ,得到单像素条纹图 ,为后续的条纹定位和物理量反演打下良好基础。实验证明该方法可以得到十分满意的结果     

Waves behind a Step in an Open Channel

The paper presents experimental data on flow in the vicinity of a sudden elevation of channel bottom (step). The range of external flow parameters is considered for the case where the step generates waves. A distinguishing feature of these waves is that they are formed in transition from subcritical to supercritical flow. It is shown that there is a range of external parameters in which the depth at the channel exit, the depth above the step, and the distance from the step to the first wave trough depend exclusively on flow discharge.     

非平整、多孔介质海底上波浪传播的复合方程

为了反映近岸区域实际存在的多孔介质海底效应，并且考虑到波浪在刚性海底上传播模型的 最新研究进展，运用Green第二恒等式建立了波浪在非平整、多孔介质海底上传播的复合方 程. 假设水深和多孔介质海底层厚度均由两种分量组成：慢变分量，其水平变化的长度尺度大于 表面波的波长；快变分量，其水平变化的长度尺度与表面波的波长等阶，但其振幅小于表面 波的振幅. 另外，多孔介质层下部边界的快变分量比水深的快变分量小1个量级. 针对水体层和多孔介质层，选择Green第二恒等式方法给出了波浪传播和渗透的复合方程， 它在交接面上满足压力和垂直渗透速度的连续性条件,可充分考虑波数变化的一般连续性， 并包含了某些著名的扩展型缓坡方程.     

Surface waves induced by external periodic pressure in a fluid with an uneven bottom

The behavior of waves generated by periodic pressure on the free surface is considered within the linear shallow-water theory. The fluid depth is a piecewise-constant function, which implies the presence of a finite-size bottom trench or elevation. For an arbitrary shape of bottom unevenness, the solution of the problem reduces to a system of integral boundary equations. Manifestation of wave-guiding properties of bottom unevenness is illustrated by an example of an extended rectangular elevation.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 70–77, January–February, 2005.