多周期稳定数值造波的参数设计方法

[目的]针对数值模拟中波浪随传播时间和距离发生波幅衰减及相位偏移的问题,提出一套可用于多周期稳定造波的参数设计方法。[方法]基于Navier-Stokes方程和流体体积（VOF）方法进行五阶Stokes波数值模拟,通过对一维波动方程的离散形式进行分析,研究几个重要参数对造波效果的影响。最后,应用所提参数设计方法对KCS船型在迎浪中的阻力和运动响应进行三维数值计算,并与模型实验结果进行比较。[结果]结果表明,将内迭代次数、网格分辨率、库朗数等参数按照一定规则设置,20个波周期内的波幅误差约5%,40个波周期的约10%。对KCS船型进行的三维数值计算结果与模型实验结果相比误差约10%。[结论]经此研究,验证了所提方法的可行性。     

三维可压缩Euler方程组经典解的爆破

研究了三维可压缩等熵Euler方程组经典解的爆破。在Sideris T C等研究的基础上,利用局部解具有有限传播速度的性质,通过构造适当的泛函,证明了某些初始数据较大时Cauchy问题的经典解必定在有限时间内爆破的结论。     

Focusing of Spherical Nonlinear Pulses for Nonlinear Wave Equations Ⅲ. Subcritical Case

This paper studied spherical pulses of solutions of the system of semilinear wave equations with the pulses focusing at a point in three space variables. It is shown that there is no nonlinear effect at leading terms of pulses, when the initial data is subcritical.     

Tractor–semitrailer model for vehicles carrying liquids

This article presents a model for solving solid–fluid interactions in vehicles carrying liquids. A tractor–semitrailer model is developed by incorporating suspension systems and tire dynamics. Owing to the solid–fluid interaction, equations of motion for the vehicle system are coupled. To simplify the complicated solution procedure, the coupled equations are solved separately using two different codes. Each code is analyzed separately; but as the parameters of the two codes depend on each other, the codes must be connected at the end of each time step. To determine the dynamic behavior of the system, different braking moments are applied. As the braking moments increase, braking time decreases. However, it turns out that increasing the braking moment to more than a certain level produces no significant results. It is also shown that vehicles carrying fluids need a greater amount of braking moments in comparison to vehicles carrying solids during braking. In addition, as the level of the fluid inside the tanker increases, from one-third to two-third of the tanker’s volume, the sloshing forces applied to the tanker’s walls increase. It was also concluded that the strategy used in this article to solve for the solid–fluid interaction by incorporating vehicle dynamic effects represents an effective method for determining the dynamic behavior of vehicles carrying fluids in other critical maneuvers.     

船舶十字轴万向节轴系受力分析

船舶十字轴万向节轴系的轴承由于十字轴万向节的影响,其受力情况复杂。文章简要分析十字轴万向节特殊的力学特性和速度特性,并分析十字轴万向节的受力情况。在此基础上运用平衡方程、三弯矩方程、MATLAB软件和EXCEL软件计算船舶十字轴万向节轴系上各个轴承在各种情况下的径向负荷。最后,简要分析十字轴万向节轴向力计算方法及其对轴系轴向力轴承的影响。为十字轴万向节轴系设计、建造和维修提供理论依据。     

A comprehensive dwelling unit choice model accommodating psychological constructs within a search strategy for consideration set formation

This study adopts a dwelling unit level of analysis and considers a probabilistic choice set generation approach for residential choice modeling. In doing so, we accommodate the fact that housing choices involve both characteristics of the dwelling unit and its location, while also mimicking the search process that underlies housing decisions. In particular, we model a complete range of dwelling unit choices that include tenure type (rent or own), housing type (single family detached, single family attached, or apartment complex), number of bedrooms, number of bathrooms, number of storeys (one or multiple), square footage of the house, lot size, housing costs, density of residential neighborhood, and commute distance. Bhat’s (2015) generalized heterogeneous data model (GHDM) system is used to accommodate the different types of dependent outcomes associated with housing choices, while capturing jointness caused by unobserved factors. The proposed analytic framework is applied to study housing choices using data derived from the 2009 American Housing Survey (AHS), sponsored by the Department of Housing and Urban Development (HUD) and conducted by the U.S. Census Bureau. The results confirm the jointness in housing choices, and indicate the superiority of a choice set formation model relative to a model that assumes the availability of all dwelling unit alternatives in the choice set.     

THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS

THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS@李开泰$College of Sciences,Xi'an Jiaotong University!Xi'an,710049,China @黄艾香$College of Sciences,Xi'an Jiaotong University!Xi'an,710049,China[14]Il’inAA ,PartlydissipativesemigroupsgeneratedbytheNavierStokessystemontwo dimensionalmanifolds,andtheirattractors[J].RussianAcadSciSbMath,1994,78(1):47-76. [15]LadyzhenskayaOA .Themathematicaltheoryofvisc…     

Theoretical Maxwell's Equations, Gauge Field and Their Universality Based on One Conservation Law

Introduction Ampere,Faradayandotherphysicistsproposeda numberofexperimentallawsaboutelectromagnetism.OnthesebasesMaxwellestablishedMaxwell sequa tionsin1862.Meanwhile,accordingtomathematical theoreticalpointofview(consistencyofequations),hesupplementedelectromagnetismwithelectricdis placementvectors.Einsteinpointedoutthat,justaswhatthe ancientshadsaid,peoplemightgraspactualitybypure mathematicalthought.Butintheestablishmentof Maxwell sequations,mathematiciansplayedonlypar tiallyimportantrole…     

线性代数方程组正交化列处理法

给出对任意的n×m阶相容性或不相容性线性代数方程组均有效的一种新的迭代算法 .证明了算法求解过程 .在经过m次迭代后 ,必然求得该方程组的理论上精确的解或最小二乘解 .分析了该算法的计算复杂度、数值稳定性和内在并行性     

Volterra型积分微分方程边值问题

利用上下解方法研究了Ｖｏｌｔｅｒｒａ型积分微分方程ｕ″＝ｆ（ｔ，ｕ，ｕ＇，Ｔｕ），ｕ（０）＝Ａ，