An H^1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same t...An H^1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same time, optimal error estimates are derived for fully discrete schemes. And it is showed that the H1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical mixed finite element methods without requiring the LBB consistency condition.展开更多
压水堆核电厂的设计基准事故定义为主管道双端断裂,这一假设过于保守.管道的失效方式往往是先出现破口而后再泄漏,即所谓的先漏后破(Leak Before Break,简称LBB),而不是双端断裂.LBB准则是防止核电厂压力管道发生灾难性破裂事故的重要...压水堆核电厂的设计基准事故定义为主管道双端断裂,这一假设过于保守.管道的失效方式往往是先出现破口而后再泄漏,即所谓的先漏后破(Leak Before Break,简称LBB),而不是双端断裂.LBB准则是防止核电厂压力管道发生灾难性破裂事故的重要评定准则.本文介绍了LBB评定技术在国外的发展情况和意义,阐述了LBB在AP1000核电厂中的应用情况及LBB评价的理论基础.展开更多
A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements f...A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equa- tions. The existence and uniqueness of the solution and the optimal error estimates are proved.展开更多
This paper proposes a new nonconforming finite difference streamline diffusion method to solve incompressible time-dependent Navier-Stokes equations with a high Reynolds number. The backwards difference in time and th...This paper proposes a new nonconforming finite difference streamline diffusion method to solve incompressible time-dependent Navier-Stokes equations with a high Reynolds number. The backwards difference in time and the Crouzeix-Raviart （CR） element combined with the P0 element in space are used. The result shows that this scheme has good stabilities and error estimates independent of the viscosity coefficient.展开更多
基金Supported by the National Natural Science Foundation of China (10601022)Natural Science Foundation of Inner Mongolia Autonomous Region (200607010106)Youth Science Foundation of Inner Mongolia University(ND0702)
文摘An H^1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same time, optimal error estimates are derived for fully discrete schemes. And it is showed that the H1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical mixed finite element methods without requiring the LBB consistency condition.
文摘压水堆核电厂的设计基准事故定义为主管道双端断裂,这一假设过于保守.管道的失效方式往往是先出现破口而后再泄漏,即所谓的先漏后破(Leak Before Break,简称LBB),而不是双端断裂.LBB准则是防止核电厂压力管道发生灾难性破裂事故的重要评定准则.本文介绍了LBB评定技术在国外的发展情况和意义,阐述了LBB在AP1000核电厂中的应用情况及LBB评价的理论基础.
文摘铅铋冷却快堆(Lead-Bismuth Cooled Fast Reactor)蒸汽发生器传热管发生破口(Steam Generator Tube Rupture,SGTR)事故时,高压水蒸汽进入一次侧高温液态金属。根据破口位置和尺寸不同,破口泄漏行为可能涉及破前泄漏(Leak-Before-Break,LBB)、单相临界流或两相临界流,不同形态的水在高温液态金属作用下发生不同形式的热质传输行为,对铅铋冷却快堆的安全运行具有重要影响。针对SGTR不同阶段,开展了系列研究,重点关注管内干涸阶段SGTR,传热管微裂纹低流量单相蒸汽渗入螺旋管束间液态铅铋合金(Lead-Bismuth Alloy,LBE)下降流场中汽泡动力学行为。基于VOF(Volume of Fluid)模型建立蒸汽-LBE两相流动及相界面捕捉数值模拟模型,研究高温LBE向下运动的流场中的单根传热管和3×3管束表面蒸汽泡生长与脱离行为。研究结果表明:汽泡在下降流场中的动力学行为与静止或向上流动的液体中的行为存在较大区别,蒸汽泡受LBE下降流场和浮力的作用脱离裂纹处后可能会沿着传热管表面滑动,在部分工况下蒸汽泡可能形成覆盖传热管表面的蒸汽膜或在管束区域内大量堆积,给LBE流动稳定性和蒸汽发生器换热带来不利影响。
基金supported by the National Natural Science Foundation of China(Nos.11271273 and 11271298)
文摘A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equa- tions. The existence and uniqueness of the solution and the optimal error estimates are proved.
基金supported by the National Natural Science Foundation of China(Nos.11271273 and 11271298)
文摘This paper proposes a new nonconforming finite difference streamline diffusion method to solve incompressible time-dependent Navier-Stokes equations with a high Reynolds number. The backwards difference in time and the Crouzeix-Raviart （CR） element combined with the P0 element in space are used. The result shows that this scheme has good stabilities and error estimates independent of the viscosity coefficient.
