共查询到15条相似文献,搜索用时 62 毫秒
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依据温度标量场与动量计算的空间和时间计算分辨率不同的特点,采用两套网格,建立多分辨率双网格并行直接求解方法,用以解决极高Ra数湍流热对流DNS模拟巨大计算工作量的难题.在两套网格的数据交换上,根据每个细网格都满足连续方程,设计了速度的守恒平移插值方法.二维极高Ra数湍流热对流的计算结果表明,采用多分辨率双网格并行直接求解方法的DNS计算,可以使计算工作量降低近一个量级.瞬时温度场显示,双网格方法的计算结果可以很好地描述极高Ra数下快速运动的小尺寸漩涡团状羽流,得到的结果与原网格一致,不同方法计算得到的传热Nu数误差不超过1%. 相似文献
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采用变物性格子Boltzmann通量求解器(VPLBFS)研究了Rayleigh-Bénard热对流.以超临界流体为例,采用VPLBFS的简化形式和标准形式分别得到了通常关注的基于Boussinesq假设的常物性解,只考虑部分物性变化的基于partial Boussinesq假设的PBA解,以及考虑流体全部物性变化的变物性解,分析了non-Boussinesq效应对Rayleigh-Bénard热对流的影响,讨论了不同温差条件下的non-Boussinesq效应.研究结果表明:non-Boussinesq效应对超临界流体的Rayleigh-Bénard热对流有非常显著的抑制作用,论证了在研究热对流时考虑流体全部物性变化的必要性. 相似文献
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混合流体Rayleigh-Bénard对流是研究非平衡对流的非线性动力学特性的典型模型之一.基于流体力学方程组的数值模拟,首先探讨了矩形腔体中具有强Soret效应(分离比Ψ=-0.60)的混合流体行波对流的分叉特性及斑图演化,沿着分叉曲线的上部分支,随着相对瑞利数的增加,此系统依次出现了局部行波对流、具有缺陷的行波对流、行波对流、摆动行波对流及定常对流5种行波对流解.然后,研究了分离比Ψ对对流解的影响,与弱Soret效应(Ψ=-0.11)时的对流解相比较,强Soret效应(Ψ=-0.60)时出现的对流解更丰富.由于有强Soret效应的对流的复杂性,Ψ=-0.60时的对流解与Ψ=-0.20,-0.4时的对流解不同. 相似文献
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Characteristics of temperature fluctuation in two-dimensional turbulent Rayleigh-Bénard convection 下载免费PDF全文
We study the characteristics of temperature fluctuation in two-dimensional turbulent Rayleigh–Benard convection in′a square cavity by direct numerical simulations.The Rayleigh number range is 1×108≤Ra≤1×1013,and the Prandtl number is selected as Pr=0.7 and Pr=4.3.It is found that the temperature fluctuation profiles with respect to Ra exhibit two different distribution patterns.In the thermal boundary layer,the normalized fluctuationθrms/θrms,max is independent of Ra and a power law relation is identified,i.e.,θrms/θrms,max~(z/δ)0.99±0.01,where z/δis a dimensionless distance to the boundary(δis the thickness of thermal boundary layer).Out of the boundary layer,when Ra≤5×109,the profiles ofθrms/θrms,max descend,then ascend,and finally drop dramatically as z/δincreases.While for Ra≥1×1010,the profiles continuously decrease and finally overlap with each other.The two different characteristics of temperature fluctuations are closely related to the formation of stable large-scale circulations and corner rolls.Besides,there is a critical value of Ra indicating the transition,beyond which the fluctuation hθrmsiV has a power law dependence on Ra,given by hθrmsiV~Ra?0.14±0.01. 相似文献
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采用并行直接数值模拟(PDM-DNS)计算无滑移和滑移边界二维Rayleigh-Bénard热对流.与无滑移边界形成的随机羽流运动的湍流热对流不同,滑移边界热对流最终形成湍流特征消失,且温度仅分布于四壁的一个大尺度环流的流动形态.平均场近底板的温度分布特性,无滑移边界逐渐变化而滑移边界出现过冲现象.宽高比Γ=1时,Nusselt数(Nu)随Rayleigh数(Ra)的变化具有相同标度指数,Nu~Ra0.3.滑移边界热对流具有传热增强作用.滑移边界热对流Nu随Γ变化明显,并分为两个阶段,在Γ=0.5时出现Numax≈250,是无滑移边界热流Nu的5倍. 相似文献
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三维多群中子扩散方程的精确、高效求解是核动力堆芯设计及燃料管理的基础。应用有限差分方法求解该方程具有简便、精确、成熟的优点;然而,该方法的计算量和存储量均较大,极大地限制了它的计算规模和应用范围。本文基于大规模并行计算,研究三维多群中子扩散方程有限差分方法:采用中心有限差分格式离散中子扩散方程;基于MPI并行编程模型,采用空间区域分解的方式实现大规模并行计算;采用多群多区域耦合PGMRES算法进行并行加速。在集群服务器上开发了ParaFiDi程序,并采用IAEA3D,PHWR等多个基准题对该程序进行验证。数值结果表明,ParaFiDi程序具有较高的计算精度和计算效率。 相似文献
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推导了纤维悬浮流的平均运动方程和纤维平均取向角的概率密度函数方程,提出了计算纤维平均取向角分布和悬浮流平均量与脉动量关联函数的逐级迭代方法。将推导的方程和提出的方法用于纤维悬浮管流场的计算并进行了相应的实验,计算和实验结果吻合很好。研究结果表明,在相同的压力降下,与没有纤维的牛顿流相比,纤维悬浮流具有较大的流量,因而纤维在流场中起着减阻的作用,减阻的量随着纤维浓度的增加而增大。在相同情况下,纤维悬浮流的相对湍流强度和雷诺应力比牛顿流小,这说明纤维能够抑制湍流,抑制的量与纤维的质量浓度成正比。 相似文献
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Analytical solutions of governing equations of various phenomena have their irreplaceable theoretical meanings. In addition,
they can also be the benchmark solutions to verify the outcomes and codes of numerical solutions, and even to develop various
numerical methods such as their differencing schemes and grid generation skills as well. A hybrid method of separating variables
for simultaneous partial differential equation sets is presented. It is proposed that different methods of separating variables
for different independent variables in the simultaneous equation set may be used to improve the solution derivation procedure,
for example, using the ordinary separating method for some variables and using extraordinary methods of separating variables,
such as the separating variables with addition promoted by the first author, for some other variables. In order to prove the
ability of the above-mentioned hybrid method, a lot of analytical exact solutions of two-buoyancy convection in porous media
are successfully derived with such a method. The physical features of these solutions are given.
Supported by the National Natural Science Foundation of China (Grant No. 50576097) and the National Basic Research Development
Program of China (Grant No. 2007CB206902) 相似文献
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A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation 总被引:4,自引:0,他引:4
Wolfgang Wagner 《Journal of statistical physics》1992,66(3-4):1011-1044
Bird's direct simulation Monte Carlo method for the Boltzmann equation is considered. The limit (as the number of particles tends to infinity) of the random empirical measures associated with the Bird algorithm is shown to be a deterministic measure-valued function satisfying an equation close (in a certain sense) to the Boltzmann equation. A Markov jump process is introduced, which is related to Bird's collision simulation procedure via a random time transformation. Convergence is established for the Markov process and the random time transformation. These results, together with some general properties concerning the convergence of random measures, make it possible to characterize the limiting behavior of the Bird algorithm. 相似文献