A simple strategy for constructing bounded convection schemes for unstructured grids

Due to the great geometrical flexibility, popularity for unstructured grid methods in fluid dynamics has been increasing in recent years. In parallel with this interest there is a need for bounded second or higher order convection schemes which can be implemented easily in the unstructured setting. In the present work a simple strategy for achieving convective boundedness in the context of a vertex‐centered unstructured finite volume algorithm is demonstrated. Testing is carried out on an inviscid oblique step problem using both structured and unstructured grid arrangements. Further testing for numerical diffusion is done using a distorted grid in a two dimensional channel. The proposed scheme is straightforward to implement and is found to perform well for the cases considered. The overall algorithm converges well and the limiter appears to introduce little extra numerical diffusion beyond that inherently present in the base scheme. Copyright © 2004 John Wiley & Sons, Ltd.     

A virtual element method-based positivity-preserving conservative scheme for convection–diffusion problems on polygonal meshes

In this paper, we propose a positivity-preserving conservative scheme based on the virtual element method (VEM) to solve convection–diffusion problems on general meshes. As an extension of finite element methods to general polygonal elements, the VEM has many advantages such as substantial mathematical foundations, simplicity in implementation. However, it is neither positivity-preserving nor locally conservative. The purpose of this article is to develop a new scheme, which has the same accuracy as the VEM and preserves the positivity of the numerical solution and local conservation on primary grids. The first step is to calculate the cell-vertex values by the lowest-order VEM. Then, the nonlinear two-point flux approximations are utilized to obtain the nonnegativity of cell-centered values and the local conservation property. The new scheme inherits both advantages of the VEM and the nonlinear two-point flux approximations. Numerical results show that the new scheme can reach the optimal convergence order of the virtual element theory, that is, the second-order accuracy for the solution and the first-order accuracy for its gradient. Moreover, the obtained cell-centered values are nonnegative, which demonstrates the positivity-preserving property of our new scheme.     

Symmetrical weighted essentially non‐oscillatory‐flux limiter schemes for Hamilton–Jacobi equations

In this paper, we propose a new scheme that combines weighted essentially non‐oscillatory (WENO) procedures together with monotone upwind schemes to approximate the viscosity solution of the Hamilton–Jacobi equations. In one‐dimensional (1D) case, first, we obtain an optimum polynomial on a four‐point stencil. This optimum polynomial is third‐order accurate in regions of smoothness. Next, we modify a second‐order ENO polynomial by choosing an additional point inside the stencil in order to obtain the highest accuracy when combined with the Harten–Osher reconstruction‐evolution method limiter. Finally, the optimum polynomial is considered as a symmetric and convex combination of three polynomials with ideal weights. Following the methodology of the classic WENO procedure, then, we calculate the non‐oscillatory weights with the ideal weights. Numerical experiments in 1D and 2D are performed to compare the capability of the hybrid scheme to WENO schemes. Copyright © 2015 John Wiley & Sons, Ltd.     

Entropy dissipation scheme and minimums‐increase‐and‐maximums‐decrease slope limiter

In this paper, we continue to study the entropy dissipation scheme developed in former. We start with a numerical study of the scheme without the entropy dissipation term on the linear advection equation, which shows that the scheme is stable and numerical dissipation and numerical dispersion free for smooth solutions. However, the numerical results for discontinuous solutions show nonlinear instabilities near jump discontinuities. This is because the scheme enforces two related conservation properties in the computation. With this study, we design a so‐called ‘minimums‐increase‐and‐maximums‐decrease’ slope limiter in the reconstruction step of the scheme and delete the entropy dissipation in the linear fields and reduce the entropy dissipation terms in the nonlinear fields. Numerical experiments show improvements of the designed scheme compared with the results presented in former. However, the minimums‐increase‐and‐maximums‐decrease limiter is still not perfect yet, and better slope limiters are still sought. Copyright © 2011 John Wiley & Sons, Ltd.     

被动光学限幅器的机制与研究进展

被动光学限幅器是利用介质的非线性光学性质实现对光的强度进行控制的器件，它在科研，军事和民用方面都具有广泛的应用，文章讨论了被动光学限幅器的反饱和吸收，双光子吸收，自由载流子吸收，非线性折射，光致散射和光折变机制，每种机制在光限幅器应用中的有效性及局限性，介绍了国内外研究状况及自己的工作；指出了今后被动光学限幅器研究的发展方向。     

用偏压限制器控制KT－5C托卡马克等离子体边缘电场的实验研究

在托卡马克ＫＴ－５Ｃ上，我们首次采用可灵活组合的多块限制器进行了施加偏压以控制等离子体边缘电场的实验，结果表明，在本装置上限制器加正偏压优于加负偏压，正偏压改变等离子体边缘电场效果更明显。偏压限制器收集面积、纵场和偏置电压的大小对偏压效果的影响都是敏感的。改变限制器收集面积和偏压导致的边缘电场的变化最终将趋于饱和，另外发现，偏压限制器与等离子体柱的相对位置对等离子体边缘电场的影响也是重要的。     

35kV/90MVA高温超导限流器低温系统

35kV/90MVA高温超导限流器的低温系统是一个开放式的液氮制冷系统,包括一个环形不锈钢杜瓦、真空绝热管、压力及温度传感器、低温阀门以及监控系统.高温超导磁体放置在杜瓦中;监控系统检测杜瓦内液氮的液面,并控制往杜瓦内进行补液.杜瓦内蒸发的氮气通过真空绝热管道直接排放到大气中.分别对不同工况下的液氮蒸发量进行了测量.进...     

饱和铁芯型超导限流器研究进展综述

电力系统短路电流对系统的稳定安全运行造成了极大的威胁,超导故障限流器是一种将超导技术、电力技术相结合产生的故障限流装置,能有效地限制短路电流。饱和铁芯型超导限流器是产业化前景较好的一种超导限流器,在对此类型的故障限流器进行了深入调研和广泛收集资料的基础上,介绍了饱和铁芯型超导限流器的工作原理,分析了它的优缺点,阐述了饱和铁芯型超导限流器的国内外发展现状,归纳了其在设计过程中的关键技术和制约其工业化应用的主要问题,并提出了技术建议,最后展望了饱和铁芯型超导限流的应用前景。     

Design and fabrication of emissive biased limiter and its effect on tokamak plasma

In this paper, an emissive-biased limiter (EBL) was designed and fabricated then the magneto hydrodynamic activity was investigated based on Mirnov oscillations and hard X-ray spectroscopy through the tokamak plasma biasing. The EBL is positioned at r/a=0.92, and the biased voltage, which is varied from?250 to 250 V, applied between the head of the emissive limiter and vacuum chamber. Furthermore, the effects of the biased limiter for both negative and positive applied voltages are measured, and the results are compared with cold-biased limiter. As the results of IR-T1 tokamak suggest, in emissive negative polarity, the duration of plasma current is increased, compared with no bias, cold positive and emissive positive polarities. The amplitude of Mirnov fluctuations in emissive negative polarity is larger and more regular, compared with emissive positive polarity. The amplitude of the hard X-ray fluctuation in emissive negative polarity is very low compared with cold negative, cold positive and emissive positive polarities which leads to minimum energy loss.     

基于磁流体热透镜效应的阈值可调光学限幅器的理论设计

理论模拟了激光束通过磁流体样品后产生的远场光斑图样,提出了一种阈值可调光学限幅器的实现方案.计算了不同光阑孔径半径和不同光阑样品距离情况下,系统的出射光功率与入射光功率的关系.得出了系统的光学限幅阈值随光阑孔径半径的增大以及光阑样品距离的减小而向高功率方向转移的结论,且限幅阈值与光阑孔径半径之间呈线性关系.定义了描述磁流体样品特征的参量f,发现了系统的光学限幅阈值随f的绝对值增加而减小.本文的结论能为实际的磁流体基可调谐光学限幅器的设计与制作提供有益的参考.