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Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method 用空时定域径向基函数配置法求解变系数抛物型和双曲型方程
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-02-06 DOI: 10.1155/2021/6688806
Mohammed Hamaidi, A. Naji, A. Taik
In this paper, we investigate the numerical approximation solution of parabolic and hyperbolic equations with variable coefficients and different boundary conditions using the space-time localized collocation method based on the radial basis function. The method is based on transforming the original d -dimensional problem in space into d + 1 -dimensional one in the space-time domain by combining the d -dimensional vector space variable and 1 -dimensional time variable in one d + 1 -dimensional variable vector. The advantages of such formulation are (i) time discretization as implicit, explicit, θ -method, method-of-line approach, and others are not applied; (ii) the time stability analysis is not discussed; and (iii) recomputation of the resulting matrix at each time level as done for other methods for solving partial differential equations (PDEs) with variable coefficients is avoided and the matrix is computed once. Two different formulations of the d -dimensional problem as a d + 1 -dimensional space-time one are discussed based on the type of PDEs considered. The localized radial basis function meshless method is applied to seek for the numerical solution. Different examples in two and three-dimensional space are solved to show the accuracy of such method. Different types of boundary conditions, Neumann and Dirichlet, are also considered for parabolic and hyperbolic equations to show the sensibility of the method in respect to boundary conditions. A comparison to the fourth-order Runge-Kutta method is also investigated.
本文利用基于径向基函数的时空局域配置方法,研究了具有不同边界条件的变系数抛物型和双曲型方程的数值逼近解。该方法是通过将d维向量空间变量和1维时间变量组合在一个d + 1维变量向量上,将原来的空间d维问题转化为空时d + 1维问题。这种公式的优点是(i)时间离散,隐式,显式,θ -方法,线法,和其他方法不适用;(ii)未讨论时间稳定性分析;(iii)避免了像求解变系数偏微分方程(PDEs)的其他方法那样在每个时间水平上重新计算得到的矩阵,并且只计算一次矩阵。基于所考虑的偏微分方程的类型,讨论了d维问题作为d + 1维时空问题的两种不同的表述。采用局部径向基函数无网格法求数值解。通过在二维和三维空间中求解不同的算例,验证了该方法的准确性。对于抛物型和双曲型方程,还考虑了不同类型的边界条件,Neumann和Dirichlet,以表明该方法在边界条件方面的敏感性。并与四阶龙格-库塔方法进行了比较。
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引用次数: 6
Corrigendum to “Eulerian Oil Spills Model Using Finite-Volume Method with Moving Boundary and Wet-Dry Fronts” 对 "使用有限体积法建立具有移动边界和干湿锋的欧拉溢油模型 "的更正
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-01-23 DOI: 10.1155/2021/6418926
Ehsan Sarhadizadeh, K. Hejazi
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引用次数: 1
Modelling and Simulation for Concrete Durability: Mechanism and Prediction 混凝土耐久性建模与模拟:机理与预测
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2021-01-01 DOI: 10.1155/2021/9782710
Qing-feng Liu, B. Šavija, J. Xia, Xiaoshan Lin, D. Hou
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引用次数: 0
Research on Variable Universe Fuzzy PID Control Strategy of Pipe Lining Induction Heating System 管道感应加热系统变域模糊PID控制策略研究
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-12-02 DOI: 10.1155/2020/8852943
Yuzhong Wang, M. Wei, Xue Hu, Minghong Jiang, Lixin Zhang
It is a promising heat supply strategy to use induction heating for the pipe lining process, but temperature control is hindering its application. In this study, we designed the variable universe fuzzy PID controller, and the lining induction heating system model was used to verify its performance. First, the transfer function parameters of the lining induction heating system are obtained by the step response method. Then, a point-by-point convergent interpolator is established through the contraction-expansion factors to realize the adaptive expansion of the fuzzy universe. Finally, the performance of PID, fuzzy PID, and variable universe fuzzy PID are compared through simulation experiments, and the ability of the controller to resist disturbance is verified by adding interference. The results show that the variable universe fuzzy PID controller can greatly improve the performance of fuzzy PID in response speed and settle time. The average stability error is smaller than PID and fuzzy PID control. It can meet the speed and accuracy requirements of the lining induction heating system. This research can be used as a reference for induction heating precise control and evidence that the variable universe fuzzy PID control can satisfy the lining induction heating process.
感应加热是一种很有前途的供热策略,但温度控制是阻碍其应用的主要因素。在本研究中,我们设计了变域模糊PID控制器,并使用衬里感应加热系统模型来验证其性能。首先,采用阶跃响应法获得了衬里感应加热系统的传递函数参数。然后,通过收缩-膨胀因子建立逐点收敛的插值器,实现模糊宇宙的自适应膨胀。最后,通过仿真实验比较了PID、模糊PID和变域模糊PID的性能,并通过添加干扰验证了控制器的抗干扰能力。结果表明,变域模糊PID控制器在响应速度和稳定时间上都能大大提高模糊PID的性能。平均稳定误差小于PID和模糊PID控制。它可以满足衬里感应加热系统的速度和精度要求。该研究可为感应加热的精确控制提供参考,并证明变域模糊PID控制可以满足衬砌感应加热过程。
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引用次数: 5
Heat Transfer of Gas Flow within a Partially Heated or Cooled Square Cavity 部分加热或冷却方腔内气体流动的传热
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-11-25 DOI: 10.1155/2020/8886682
M. Hssikou, Y. Elguennouni, Jamal Baliti, M. Alaoui
Natural convection of gas flow (air) confined within an enclosed square-section cavity is investigated numerically using the lattice Boltzmann method (LBM). The right (left) side of the enclosure is partially heated (cooled) by a hot (cold) chip, while the left (right) one is completely kept at cold (hot) temperature. However, the horizontal walls and vertical parts near the chip are kept adiabatic. The buoyancy effect induced by the gravity acceleration, related to the convection force, is evaluated through the Rayleigh number in the range of (laminar regime). The wall heating-ratio effect on the flow properties such as temperature and velocity profiles was examined. The heat transfer is analyzed through the Nusselt number for different chip lengths. Results show that the wall heat ratio has an interesting effect on the flow behavior. Results show good agreement with those of full natural convection in the literature, experimental, and simulation data.
采用格子玻尔兹曼方法(LBM)对密闭方形腔内气体流动(空气)的自然对流进行了数值研究。机箱的右(左)侧部分由热(冷)芯片加热(冷却),而左(右)侧完全保持冷(热)温度。然而,水平壁和垂直部分附近的芯片是保持绝热。利用瑞利数在(层流区)范围内对重力加速度引起的浮力效应与对流力的关系进行了评价。考察了壁面加热比对温度和速度分布等流动特性的影响。通过努塞尔数分析了不同芯片长度下的传热情况。结果表明,壁面热比对流动特性有显著影响。计算结果与文献、实验和模拟结果吻合较好。
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引用次数: 2
A Social Force Model for Pedestrians’ Movements Affected by Smoke Spreading 烟雾扩散影响下行人运动的社会力模型
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-11-13 DOI: 10.1155/2020/8819076
J. Makmul
A social force (SF) model is proposed to simulate the egress of pedestrians while smoke is spreading. The advection-diffusion with source term is used to describe the propagation of smoke. It is incorporated into the SF model. The navigation field in our model is determined by the negative gradient of the solution of the Eikonal equation. It depends on the pedestrian and smoke density. Numerical experiments are performed in a room with multiple exits, and their results are shown.
提出了一种社会力(SF)模型来模拟烟雾扩散过程中行人的疏散情况。采用带源项的平流扩散法描述烟雾的传播过程。它被纳入到SF模型中。模型中的导航场由Eikonal方程解的负梯度决定。这取决于行人和烟雾密度。在有多个出口的室内进行了数值实验,并给出了实验结果。
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引用次数: 4
Fatigue Characteristics and Numerical Modelling Prosthetic for Chopart Amputation Chopart截肢假肢的疲劳特性及数值模拟
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-11-13 DOI: 10.1155/2020/4752479
S. M. Abbas, Ammar I. Kubba
This research is looking for three laminated composite material groups. These three groups were utilized in experimental investigation to find their mechanical properties. These properties have been used to design and manufacture a socket for a partial foot prosthesis using an ANSYS model. This socket was manufactured with a vacuum pressure device to improve its properties. The socket composite material was tested for tensile and fatigue properties; then, its results were used in the ANSYS model. The composite material matrix was laminated in an 80 : 20 ratio, and there were three types of reinforcement lamination material (Perlon, glass fiber, and carbon fiber). The mechanical property results of these tests were found as follows: using onlyPerlon reinforcement, the properties are σy = 33:6MPa, σult = 35:6MPa, and modulus of elasticity = 1:03GPa; using (3Perlon +2carbon fiber +3perlon) layers, the properties were σy = 65:5MPa, σult = 92:5MPa, and modulus of elasticity = 1:99GPa; and using (3Perlon + 2 glass fiber + 3perlon) layers, the results were σy = 40MPa, σult = 46:6MPa, and modulus of elasticity = 1:4 GPa. The ANSYS model used the boundary condition from the measured contact pressure between the socket and the patient’s stump. The MatScan (F-socket) pressure sensor utilized these interface pressure measurements. The maximum values for the pressure were found as follows: 190 kPa and 164 kPa, which are recorded in the posterior and lateral locations, respectively. The calculated factor of safety for the prosthesis that has been made from a selected composite material with the following layers (3 Perlon+2 carbon fiber+3 Perlon) is 1.037 which is safe for design prosthetic applications. From this study, more prosthetic designs can be modelled and manufactured using this approach. Prosthetics and orthotics are usually custom-made for each patient according to its specific requirements. So, it will be very helpful to find a procedure to analyze the prosthetics before manufacturing it.
本研究寻找三种层压复合材料组。利用这三种材料进行了力学性能的实验研究。这些特性已被用于设计和制造一个套筒部分足假体使用ANSYS模型。该插座采用真空加压装置制造,以提高其性能。对套筒复合材料进行了拉伸和疲劳性能测试;然后将其结果应用于ANSYS模型中。复合材料基体按80:20的比例层合,增强层合材料有三种(Perlon、玻璃纤维和碳纤维)。试验结果表明:单perlon增强材料的力学性能为:σy = 33:6MPa, σult = 35:6MPa,弹性模量= 1:03GPa;采用(3Perlon +2碳纤维+ 3Perlon)层,其性能为:σy = 65:5MPa, σult = 92:5MPa,弹性模量= 1:99GPa;采用(3Perlon + 2玻璃纤维+ 3Perlon)层,得到的结果为:σy = 40MPa, σult = 46:6MPa,弹性模量= 1:4 GPa。ANSYS模型采用的边界条件来自于测量的承窝与患者残端之间的接触压力。MatScan (F-socket)压力传感器利用这些接口压力测量。最大压力值为190 kPa和164 kPa,分别记录在后侧和外侧位置。由以下层(3 Perlon+2碳纤维+3 Perlon)选定的复合材料制成的假体的计算安全系数为1.037,对于设计假体应用是安全的。通过这项研究,更多的假肢设计可以使用这种方法建模和制造。假肢和矫形器通常是根据每个病人的具体要求定制的。因此,在制造假肢之前,找到一种分析假肢的方法是很有帮助的。
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引用次数: 2
Sidelobe Suppression in Array-Pattern Synthesis Using Periodic Leaky-Wave Antenna and Binomial Array 周期漏波天线和二项阵阵阵图合成中的旁瓣抑制
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-11-10 DOI: 10.1155/2020/6201767
Hicham Aziz, M. Moubadir, A. Farkhsi, N. Amar Touhami
This paper presents the conception and realization of a 2D antenna array using periodic leaky-wave antenna (PLWA) and the binomial array (BA) at 6 GHz as the application of WLAN. The series array of periodic leaky-wave antenna was provided by an array of five rectangular Patches connected by cross lines. The nonuniform amplitudes of the binomial array are used to reduce the sidelobe level; in this way, the center source radiates strongly on the broadside. The prototype of the proposed 2D antenna array is designed, fabricated, and tested. A good agreement is obtained between simulated and measurement results.
本文提出了一种利用周期漏波天线(PLWA)和6ghz二项阵(BA)作为无线局域网应用的二维天线阵列的概念和实现。周期漏波天线的串联阵列是由交叉线连接的五个矩形贴片组成的阵列。利用二项阵的非均匀振幅来降低副瓣电平;这样,中心源在侧面的辐射就比较强。所提出的二维天线阵列的原型设计,制造和测试。仿真结果与实测结果吻合较好。
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引用次数: 6
Power Flow Simulation for Two-Degree-of-Freedom Planetary Gear Transmissions with Experimental Validation 二自由度行星齿轮传动功率流仿真及实验验证
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-11-06 DOI: 10.1155/2020/8837605
H. A. Hussen, E. L. Esmail, Rahman A. Hussen
The basic relationships among gear ratios, velocity succession, torque directions, power ratios, energy losses, and efficiency are derived from first principles. The techniques presented here can be applied to ordinary, planetary, or mixed gear trains. Also, these techniques provide more insight into how power is flowing through the different parts of the mechanism. Power flow relationships are a helpful tool to study power amplification and power circulation in multipath transmissions. They also provide more insight into how the gear pair entities (GPEs) or gear train entities (GTEs) affect total power losses and allow immediate derivation of the overall efficiency. A representative two-input mechanism is analyzed to demonstrate the effectiveness of improved techniques. The theoretical results are compared with experimental data of previous work. The theoretical and experimental curves exhibit identical trends with a distinct jump in friction loss. The jump is explained by a change in the way of the power flow through the mechanism. The conditions under which power circulation occurs are determined. The results have important implications for understanding how to improve the efficiency of multipath power flow systems.
传动比、速度连续、转矩方向、功率比、能量损失和效率之间的基本关系是从第一性原理推导出来的。这里提出的技术可以应用于普通,行星,或混合齿轮系。此外,这些技术提供了更多关于能量如何流经机制的不同部分的见解。潮流关系是研究多径传输中功率放大和功率循环的有效工具。它们还提供了更多的洞察齿轮副实体(gpe)或齿轮系实体(gte)如何影响总功率损失,并允许立即推导整体效率。分析了一个典型的双输入机制,以证明改进技术的有效性。将理论结果与前人的实验数据进行了比较。理论曲线和实验曲线表现出相同的趋势,摩擦损失有明显的跳跃。这种跃迁可以用通过该机构的能量流动方式的变化来解释。确定了电力循环发生的条件。研究结果对于理解如何提高多径潮流系统的效率具有重要意义。
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引用次数: 3
Modelling Low-Salinity Water Flooding as a Tertiary Oil Recovery Technique 低矿化度水驱三次采油技术建模
IF 3.2 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2020-10-26 DOI: 10.1155/2020/6485826
O. Olabode, D. Alaigba, Daniel Oramabo, O. Bamigboye
In this project, low-salinity water flooding has been modeled on ECLIPSE black oil simulator in three cases for a total field production life of twenty-five years. In the first case, low-salinity water flooding starts fifteen years after secondary water flooding. For the second case, low-salinity water flooding starts five years after secondary water flooding and runs till the end of the field production life. For the third case, low-salinity water flooding starts five years after secondary water flooding, but low-salinity water flooding is injected in measured pore volumes for a short period of time; then, high-salinity water flooding was resumed till the end of the field production life. This was done to measure the effect of low-salinity water flooding as slug injection. From the three cases presented, oil recovery efficiency, field oil production rate, and field water cut were observed. Increased percentages of 22.66%, 35.12%, and 26.77% were observed in the three cases, respectively.
在该项目中,在ECLIPSE黑油模拟器上进行了三次低矿化度水驱模拟,油田总生产寿命为25年。在第一种情况下,低矿化度水驱在二次水驱后15年开始。对于第二种情况,低矿化度水驱在二次水驱后5年开始,一直持续到油田生产寿命结束。对于第三种情况,低矿化度水驱在二次水驱后5年开始,但在测量孔隙体积中注入低矿化度水的时间较短;然后恢复高矿化度水驱,直至油田生产寿命结束。这样做是为了测量低盐度水驱作为段塞流注入的效果。从三个实例中,观察了采收率、油田产油量和油田含水率。3例分别增加22.66%、35.12%和26.77%。
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引用次数: 9
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Modelling and Simulation in Engineering
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