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本文推广了R.W.Thatcher[4]的结果,给出局部质量守恒的P3-P2元,并对矩形网格的高阶Qn-Qn-1进行了讨论. 相似文献
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径向直线槽端面密封空化特性数值模拟 总被引:2,自引:0,他引:2
基于质量守恒边界条件,建立了径向直线槽端面密封空化特性的数值模型.控制方程为考虑惯性的定常不可压缩Reynolds方程,利用有限控制体积法对其进行离散,采用分块加权方法计算膜厚突变处流量,迭代方法为Gauss-Siedel松弛迭代,并对空化特性影响因素进行了分析.结果表明:不同工况下,油膜破裂位置均在膜厚突然增大处,密封坝阻碍空化的产生;空穴区域随着转速的增大而增大,随着槽深的增大而减小;空化区域在径向由静压决定,周向由动压决定,二者对空化的影响相互独立. 相似文献
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守恒定律是自然界的普遍规律;机械能守恒、能量守恒、动量守恒、质量守恒及电量守恒,是中学物理的重点内容,利用守恒的观点解题,可只由两个状态建立方程,简捷方便.2000年全国高考物理试题,已由侧重牛顿运动定律的考查,转向侧重守恒定律的考查,全卷22题,直接考查守恒定律有第1题、5题、11题、12题、13题、14题、18题、21题、22题,共68分;可以用守恒规律分析和解决的有第2题、6题、10题,共12分.其分值占有总分的53.3%. 相似文献
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The blow-up in finite time for the solutions to the initial-boundary value problem associated to the one-dimensional quantum Navier-Stokes equations in a bounded domain is proved. The model consists of the mass conservation equation and a momentum balance equation, including a nonlinear third-order differen- tial operator, with the quantum Bohm potential, and a density-dependent viscosity. It is shown that, under suitable boundary conditions and assumptions on the initial data, the solution blows up after a finite time, if the viscosity constant is not bigger than the scaled Planck constant. The proof is inspired by an observable constructed by Gamba, Gualdani and Zhang, which has been used to study the blowing up of solutions to quantum hydrodynamic models. 相似文献
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改进水平集法模拟不可压缩两相流动时质量守恒的体积校正法 总被引:3,自引:0,他引:3
发展了一种体积校正法来改进水平集法模拟涉及相界面变形的不可压缩两相流动时的质量守恒.在传统的重新初始化程序之后,该体积校正法可以根据不连续相的质量亏盈,通过整体移动相界面的位置,使质量亏盈小于预先指定的误差范围.用3个算例验证了包含该体积校正法的水平集算法:二维单气泡或单液滴在液体中的运动,二维水滴通过空气介质落入水池,两个浮力推动的三维变形气泡相互影响下的运动.每个算例中质量守恒都符合要求的精度,数值模拟结果与实验数据吻合. 相似文献
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Bing Bai Tao Li 《Acta Mechanica Solida Sinica》2009,22(1):85-94
Based on the thermodynamics of irreversible processes, the mass conservation equation and heat energy balance equation are established. The governing equations of thermal consolidation for homogeneous isotropic materials are presented, accounting for the coupling effects of the temperature, stress and displacement fields. The case of a saturated medium with a long cylindrical cavity subjected to a variable thermal loading and a variable hydrostatic pressure (or a variable radial water flux) with time is considered. The analytical solutions are derived in the Laplace transform space. Then, the time domain solutions are obtained by a numerical inversion scheme. The results of a typical example indicate that thermodynamically coupled effects have considerable influences on thermal responses. 相似文献
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利用包括地形外源和湍流耗散的准地转涡度方程导出了包含强迫项和湍流耗散项的非齐次强迫BDO-Burgers方程,求出了小耗散存在情况下BDO-Burgers方程的近似解析解,讨论了代数孤立波的质量和能量的守恒关系,最后,对给定的弱切变基本气流和避地地形强迫,数据积分强迫BDO-Burgers方程,求得了不同参数下的数值解。 相似文献