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延拓Chaplygin气体黎曼解的流逼近极限过程中的集中性研究(英文) 被引量:1
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作者 张庆玲 《数学杂志》 2019年第4期504-528,共25页
本文研究了延拓Chaplygin气体的黎曼解在流逼近极限过程中的集中现象和狄拉克激波的两种形成机制问题.利用相平面分析法和广义特征分析法,构造出了延拓Chaplygin气体的整体黎曼解,并获得了两个结果:当压力消失时,延拓Chaplygin气体的包... 本文研究了延拓Chaplygin气体的黎曼解在流逼近极限过程中的集中现象和狄拉克激波的两种形成机制问题.利用相平面分析法和广义特征分析法,构造出了延拓Chaplygin气体的整体黎曼解,并获得了两个结果:当压力消失时,延拓Chaplygin气体的包含两个激波的解收敛到输运方程的狄拉克激波解;当压力项趋近于广义Chaplygin压力项时,延拓Chaplygin气体的包含两个激波的解收敛到广义Chaplygin气体的狄拉克激波解.结论推广到了延拓Chaplygin气体. 展开更多
关键词 延拓Chaplygin气体 狄拉克激波 流逼近极限 黎曼解 输运方程 广义Chaplygin气体
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两服务台串联排队系统的逗留时间的强逼近 被引量:1
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作者 郭永江 张玉艳 《应用概率统计》 CSCD 北大核心 2020年第1期1-10,共10页
本文考虑了两服务台串联排队,证明了重话务条件(即服务强度ρ1=ρ2=1)下逗留时间的强逼近,此处的逗留时间指的是一个顾客从到达系统到离开系统的这段时间,其强逼近是一个布朗运动的过程.
关键词 两服务台串联排队 流逼近 逼近 布朗运动
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辐射扩散方程基于虚拟元方法的一个保正守恒格式
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作者 盛美花 杨堤 高志明 《工程数学学报》 CSCD 北大核心 2023年第3期439-455,共17页
作为近年来广受关注的一种数值方法,虚拟元方法具有很多优势。但在求解实际问题导出的一些辐射扩散方程时,该方法可能无法保证数值解的非负性及一般多边形网格上的局部守恒性。针对辐射扩散方程,利用非线性两点流逼近方法作为后处理措施... 作为近年来广受关注的一种数值方法,虚拟元方法具有很多优势。但在求解实际问题导出的一些辐射扩散方程时,该方法可能无法保证数值解的非负性及一般多边形网格上的局部守恒性。针对辐射扩散方程,利用非线性两点流逼近方法作为后处理措施,提出了一种基于虚拟元方法的保正守恒格式。该格式通过最低阶虚拟元方法得到数值解的单元顶点值,再利用非线性两点流逼近方法得到数值解的非负单元中心值,同时使格式满足局部守恒性。任意多边形网格上的数值结果表明,该格式具有保正性和解的近似二阶收敛速度,对于处理含强间断或非线性扩散系数的辐射扩散问题均有较强的适应性。 展开更多
关键词 辐射扩散方程 虚拟元方法 保正性 局部守恒性 非线性两点流逼近
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两串联排队系统逗留时间的泛函重对数律 被引量:1
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作者 张玉艳 《软件》 2019年第4期154-158,共5页
本文考虑了两服务台串联排队系统,证明了重话务条件下逗留时间的泛函重对数率。逗留时间指的是一个顾客从到达系统到离开系统的时间,泛函重对数率基于更新过程的强逼近。
关键词 两服务台串联排队 流逼近 逼近 泛函重对数律
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Time Series as an Aid to Research of Traction Substation Load
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作者 Andrzej Kobielski Stawomir Drapik +1 位作者 Marek Dudzik Janusz Prusak 《Journal of Energy and Power Engineering》 2013年第5期979-986,共8页
In the case of electric or tram traction vehicles, the energy for propulsion purposes, as well as all other purposes, is processed and delivered via traction substations. Knowledge of the course of traction substation... In the case of electric or tram traction vehicles, the energy for propulsion purposes, as well as all other purposes, is processed and delivered via traction substations. Knowledge of the course of traction substation loading, especially at the stage of its design, is an extremely important issue because of the choice of the processing equipment of the main circuit or protection devices. In the range of investigations of railway traction substation B in vicinity of Cracow (Poland), the measurements of current load in hours 4:00 a.m.-8:00 p.m. were realized. The measurements for the analysis were chosen from those realized between 6:00 a.m.-8:00 a.m. (the morning rush time). Due to the sampling of 2 h summit with a frequency of 2 kHz, the recorded data set contains 1.44 ~ 107 elements. Therefore, the necessary transformation of data was to lower frequency 1 Hz, 10 Hz and 50 Hz. The results of the analysis presented below indicate the effect of such conduct on the obtained results for the parameters of time series models. In view of the unsatisfactory effects of the polynomial approximation, there is a need to seek a more efficient approximation method for achieving the optimum compatibility with the measured process. Continued research should lead to the formulation of procedures, which will determine an acceptable accuracy of the expected variability of traction substation loads. 展开更多
关键词 Electric traction CURRENT traction load railway traction substation time series.
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Approximation of Rainfall Erosivity Factors in North Jordan 被引量:3
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作者 N.I.ELTAIF M.A.GHARAIBEH +1 位作者 F.AL-ZAITAWI M.N.ALHAMAD 《Pedosphere》 SCIE CAS CSCD 2010年第6期711-717,共7页
Despite being in arid and semi-arid areas,erosion is largely a result of infrequent but heavy rainfall events; therefore,rainfall erosivity data can be used as an indicator of potential erosion risks.The purpose of th... Despite being in arid and semi-arid areas,erosion is largely a result of infrequent but heavy rainfall events; therefore,rainfall erosivity data can be used as an indicator of potential erosion risks.The purpose of this study was to investigate the spatial distribution of annual rainfall erosivity in North Jordan.A simplified procedure was used to correlate erosivity factor R values in both the universal soil loss equation (USLE) and the revised universal soil loss equation (RUSLE) with annual rainfall amount or modified Fournier index (F mod ).Pluviometric data recorded at 18 weather stations covering North Jordan were used to predict R values.The annual values of erosivity ranged between 86-779 MJ mm ha ?1 h ?1 year ?1 .The northwest regions of Jordan showed the highest annual erosivity values,while the northeastern regions showed the lowest annual erosivity values. 展开更多
关键词 EROSION Fournier index iso-erodent map universal soil loss equation
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OPERATOR-SPLITTINGMETHODSFORTHESIMULATIONOFBINGHAMVISCO-PLASTICFLOW 被引量:1
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作者 E.J.DEAN R.GLOWINSKI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第2期187-204,共18页
This article discusses computational methods for the numerical simulation of unsteady Bingham visco-plastic flow. These methods are based on time-discretization by operator-splitting and take advantage of a characteri... This article discusses computational methods for the numerical simulation of unsteady Bingham visco-plastic flow. These methods are based on time-discretization by operator-splitting and take advantage of a characterization of the solutions involving some kind of Lagrange multipliers. The full discretization is achieved by combining the above operator-splitting methods with finite element approximations, the advection being treated by a wave-like equation 'equivalent' formulation easier to implement than the method of characteristics or high order upwinding methods. The authors illustrate the methodology discussed in this article with the results of numerical experiments concerning the simulation of wall driven cavity Bingham flow in two dimensions. 展开更多
关键词 Bingham visco-plastic flow Operator-splitting methods Finite element
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