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波浪能装置的原理与优化设计
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作者 李欣芮 李浩廷 +1 位作者 杨润东 孙合明 《能源与节能》 2023年第12期26-29,57,共5页
主要研究在波浪激励的作用下,一种波浪能装置在实际工作中的运动规律。对波浪能装置,建立了基于牛顿三大定律和胡克定律的刚体运动模型,先仅考虑了在竖直方向上的一维运动微分方程,再考虑装置的平面运动。将装置的浮子和振子视为两个刚... 主要研究在波浪激励的作用下,一种波浪能装置在实际工作中的运动规律。对波浪能装置,建立了基于牛顿三大定律和胡克定律的刚体运动模型,先仅考虑了在竖直方向上的一维运动微分方程,再考虑装置的平面运动。将装置的浮子和振子视为两个刚体,每个刚体的运动可以转化为平面上的平动和转动。这2个刚体的运动规律可用6个微分方程进行描述。据装置的工况,得出微分方程的初始条件,后采用4阶Runge-Kutta方法求解微分方程,得出浮子和振子的运动规律,进而推导出稳定条件下,波浪能装置的输出功率,并且给出了在一定条件下装置输出最大功率时的阻尼系数。 展开更多
关键词 牛顿运动定律 微分方程 4runge-kutta方法 平面运动
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Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model 被引量:3
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作者 Abdullah Shah Ali Haider Said Karim Shah 《World Journal of Mechanics》 2014年第5期128-136,共9页
In this article, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys. Phase-field model of solidification describes... In this article, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys. Phase-field model of solidification describes the physics of dendritic growth in any material during the process of under cooling. The numerical procedure in this work is based on finite difference scheme for space and the 4th-order Runge-Kutta method for time discretization. The effect of each physical parameter on the shape and growth of dendritic crystal is studied and visualized in detail. 展开更多
关键词 DENDRITIC CRYSTAL GROWth PHASE-FIELD Model 4th-order runge-kutta method
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Simulation and Analysis of Carrier Dynamics in the InAs/GaAs Quantum Dot Laser, Based upon Rate Equations
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作者 Ahmadreza Daraei Seyed Mohsen Izadyar Naser Chenarani 《Optics and Photonics Journal》 2013年第1期112-116,共5页
In this paper, simulation of InAs/GaAs quantum dot (QD) laser is performed based upon a set of eight rate equations for the carriers and photons in five energy states. Carrier dynamics in these lasers were under analy... In this paper, simulation of InAs/GaAs quantum dot (QD) laser is performed based upon a set of eight rate equations for the carriers and photons in five energy states. Carrier dynamics in these lasers were under analysis and the rate equations are solved using 4th order Runge-Kutta method. We have shown that by increasing injected current to the active medium of laser, switching-on and stability time of the system would decrease and power peak and stationary power will be increased. Also, emission in any state will start when the lower state is saturated and remain steady. The results including P-I characteristic curve for the ground state (GS), first excited state (ES1), second excited state (ES2) and output power of the QD laser will be presented. 展开更多
关键词 INAS/GAAS QUANTUM DOT Laser Simulation CARRIER DYNAMICS 4th order runge-kutta method
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基于MQ拟插值函数逼近的非线性动力系统数值求解
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作者 杜珊 李风军 《应用数学和力学》 CSCD 北大核心 2017年第8期943-955,共13页
借助多重二次曲面(multi quadrics,MQ)拟插值函数具有较好精确性和稳定性的优势,研究了基于MQ拟插值函数和4阶Runge-Kutta法相结合的方法,构造了求解带有初值问题的非线性动力系统的数值解法,分析了该方法与已有主要方法的优缺点,并给... 借助多重二次曲面(multi quadrics,MQ)拟插值函数具有较好精确性和稳定性的优势,研究了基于MQ拟插值函数和4阶Runge-Kutta法相结合的方法,构造了求解带有初值问题的非线性动力系统的数值解法,分析了该方法与已有主要方法的优缺点,并给出了相应的数值算例、误差估计.结果表明该方法计算量小、能很好地逼近非线性动力系统的解析解. 展开更多
关键词 非线性动力系统 数值方法 MQ拟插值 4rungekutta
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